PLC Papers Created For:
|
|
- Patrick Webb
- 5 years ago
- Views:
Transcription
1 PLC Papers Created For: Year 10 Topic Practice Papers: Probability
2 Mutually Exclusive Sum 1 Grade 4 Objective: Know that the sum of all possible mutually exclusive outcomes is 1. Question 1. Here are some probabilities of particular events happening. Write down the probabilities of the events not happening: (a) P(h) = 0.2 (e) P(h) = 88% (b) P(h) = 0.32 (f) P(h) = 75.5% (c) P(h) = 0.41 (g) P(h) = 1 4 (d) P(h) = 52% (h) P(h) = (8) (Total 8 marks) Question 2. Benny and Brad play a game of chess. From analysing previous games, the probability of Benny winning is 0.3. What is the probability of Brad winning? (Total 2 marks) Total /10
3 Mutually Exclusive Sum 2 Grade 4 Objective: Know that the sum of all possible mutually exclusive outcomes is 1. Question 1. There are black, blue, red and yellow counters in a bag. Find the probability of a yellow counter being pulled out, if the probabilities listed in the table show the likelihood of each of the other colours: (a) Black Blue Red Yellow (b) Black Blue Red Yellow (c) Black Blue Red Yellow 46% 11% 24% (a) Black Blue Red Yellow (Total 8 marks) Question 2. Dave and Bernadette play a game of chess. From analysing previous games, the probability of Dave winning a chess match is 0.42, the probability Bernadette will win is What is the probability of a draw? (Total 2 marks) Total /10
4 Mutually Exclusive Sum 3 Grade 4 Objective: Know that the sum of all possible mutually exclusive outcomes is 1. Question 1. A bag contains only red counters, white counters, yellow counters and black counters. Tom is going to take a counter at random from the bag. The table shows each of the probabilities that Tom will take a red counter or a white counter or a yellow counter or a black counter. (a) Work out the probability that Tom will take a yellow counter. Tom says that there are exactly 10 white counters in the bag. Tom is wrong. (b) Explain why there cannot be exactly 10 white counters in the bag.. (Total 3 marks)
5 Question 2. There are only white counters, pink counters, green counters and blue counters in a bag. The table shows the probabilities of picking at random a white counter and picking at random a blue counter. The probability of picking a pink counter is the same as the probability of picking a green counter. (a) Complete the table.... (b) What is the probability of picking a white or a green counter?... (Total 3 marks)
6 Question 3. A bag contains counters that are red, orange, yellow or green. A counter is chosen at random. The probability it is red is Work out the probability it is green.... (4) (Total 4 marks) Total /10
7 Mutually Exclusive Sum 4 Grade 4 Objective: Know that the sum of all possible mutually exclusive outcomes is 1. Question 1. A biscuit tin contains chocolate digestives, shortbread, custard creams and cookies. Henry is going to take a biscuit at random from the tin. The table shows each of the probabilities that Henry will take a chocolate digestive or a shortbread or a custard cream or a cookie. (a) Work out the probability that Henry will choose a custard cream. Henry says that there are exactly 9 shortbread biscuits in the tin. Henry is wrong. (b) Explain why there cannot be exactly 9 shortbread biscuits in the tin..... (Total 3 marks)
8 Question 2. Nadine has a choice of strawberry, peach, vanilla or cherry yoghurts. The table shows the probabilities of picking at random a strawberry yoghurt and picking at random a cherry yoghurt. The probability of picking a peach yoghurt is the same as the probability of picking a vanilla yoghurt. (a) Complete the table.... (b) What is the probability of not choosing a cherry yoghurt?... (Total 3 marks)
9 Question 3. A café serves chocolate, strawberry, banana or vanilla flavoured milkshakes. Kelly chooses a flavour at random. The probability it is chocolate is Work out the probability it is strawberry.... (4) (Total 4 marks) Total /10
10 Relative Frequency 1 Grade 4 Objective: Understand how relative expected frequencies relate to theoretical probability. Question 1. Jim, Hannah and Laura want to find out if a coin is biased. They decide to toss the coin and count the number of times it lands on heads. The table shows the number of trials each person completes and the number of times the coin lands on heads. (a) Complete the table to show the relative frequency for each experiment. Give your answer as a decimal. (b) Which person did the most accurate experiment? Explain your choice. (3) (c) Is the coin fair? Explain your answer. (Total 6 marks)
11 Question 2. A bag contains 27 red beads and 18 blue beads. I choose a bead from the bag at random, record the colour and replace it. (a) What is the probability that I will get a red bead? (b) If I repeat this experiment 80 times, how many times would I expect to get a red bead? (Total 4 marks) Total /10
12 Relative Frequency 3 Grade 4 Objective: Understand how relative expected frequencies relate to theoretical probability. Question 1. A charity game at a fete is won when a ball is rolled down a board and lands in an even numbered pot. Mr Barker claims that the probability of winning on any go is 1 3. He charges 20p per go and awards a prize of 40p to winning rolls. (a) Mr Barker expects 450 people to play. Assuming his claim is true, how much money will he make for charity? (b) Class 10B think that Mr Barker is wrong. They decide to conduct an experiment. The table show the results. (4) Estimate the probability of winning from this experiment. (3) (Total 7 marks)
13 Question 2. Seb flips a coin 10 times and gets 7 heads. (a) Explain why he thinks the coin might be biased.. He flips the same coin 200 times and gets 102 heads. (b) Explain why he now thinks the coin is fair.. (c) Which is the most accurate estimate of the experimental probability of getting a head? Explain your answer.. (Total 3 marks) Total /10
14 Probability of independent events 1 Grade 5 Objective: To calculate the probability of independent events using tree diagrams. Question 1. Wendy goes to a fun fair. She has one go at Hoopla and one go on the Coconut shy. The probability that she wins at Hoopla is 0.4 whereas the probability that she wins on the Coconut shy is 0.3. (a) Complete the probability tree diagram. (b) Work out the probability that Wendy wins at Hoopla and also wins on the Coconut shy. (Total 4 marks)
15 Question 2 Lily and Anna take a test. The probability that Lily will pass the test is 0.6 The probability that Anna will pass the test is 0.8 (a) Work out the probability that both of these girls fail the test. (b) Work out the probability that both of these girls pass the test or that both of these girls fail the test. (3) Total /10 (3) (Total 6 marks)
16 Probability of independent events 2 Grade 5 Objective: To calculate the probability of independent events using tree diagrams. Question 1. In a newsagent's shop, the probability that any customer buys a newspaper is 0.6. In the same shop, the probability that any customer buys a magazine is 0.3. (a) Complete the probability tree diagram. (b) Work out the probability that a customer will buy either a newspaper or a magazine but not both. (3) (Total 5 marks)
17 Question 2 Yvonne has 10 tulip bulbs in a bag. 7 of the tulip bulbs will grow into red tulips. 3 of the tulip bulbs will grow into yellow tulips. Yvonne takes at random two tulip bulbs from the bag. She plants the bulbs. (a) Complete the probability tree diagram. (b) Work out the probability that at least one of the bulbs will grow into a yellow tulip. Total /10 (3) (Total 5 marks)
18 Probability of independent events 3 Grade 5 Objective: To calculate the probability of independent events using tree diagrams. Question 1. When John throws a dart, the probability that he hits the target is 0 2. Each attempt is independent of any previous throw. (a) What is the probability that he hits the target for the first time on his third attempt? (b) Check whether or not there is more than a 50% chance of John hitting the target once only on his first three attempts. (3) (Total 5 marks)
19 Question 2 The probability that Rachel will win any game of tennis is p. She plays two games of tennis. (a) Complete, in terms of p, the probability tree diagram. (b) Write down an expression, in terms of p, for the probability that Rachel will win both games. (c) Write down an expression, in terms of p, for the probability that Rachel will win exactly one of the games. (Total 5 marks) Total /10
20 Probability of independent events 4 Grade 5 Objective: To calculate the probability of independent events using tree diagrams. Question 1. On Saturday, Luke takes part in a high jump competition. He has to jump at least 2 metres to qualify for the final on Sunday. He has up to three jumps to qualify. If he jumps at least 2 metres he does not jump again on Saturday. Each time Luke jumps, the probability he jumps at least 2 metres is 0.7. Assume each jump is independent. (a) Complete the tree diagram. (b) Work out the probability that he does not need the third jump to qualify. (Total 4 marks)
21 Question 2 There are 10 pencils in a box. There are x blue pencils in the box. All the other pencils are red. Emma selects a pencil from the box and replaces it. She then chooses another pencil. (a) Complete, in terms of x, the probability tree diagram. (b) Write down an expression, in terms of x, for the probability that Emma will choose two blue pencils. (c) Write down an expression, in terms of x, for the probability that Emma will choose a pencil of each colour. (Total 4 marks)
22 Question 3 A bag contains 7 blue counters and 3 red counters. John calculates that the probability of picking 2 red counters in a row is = What assumption has John made for his answer to be correct?.. (Total 1 mark) Total /10
23 Relative Frequency 2 Grade 4 Objective: Understand how relative expected frequencies relate to theoretical probability. Question 1. Sian rolls a die 50 times and records the results in the table below. (a) Complete the table to show the relative frequency for each experiment. Give your answer as a decimal. (b) Does the die appear to be biased? Explain your answer. (c) How many times would you expect each number to occur? (Total 5 marks)
24 Question 2. A teacher has 8 boys and 9 girls in her class. She chooses one of them at random. (a) What is the probability that she chooses a girl? (b) Another teacher has 14 boys and 16 girls in his class. He chooses a student at random whenever he wants someone to answer a question. He does this 70 times one week. How many times would he expect to choose a boy? (3) (Total 5 marks) Total /10
25 Relative Frequency 4 Grade 4 Objective: Understand how relative expected frequencies relate to theoretical probability. Question 1. A fairground game is won when a hoop is thrown and lands on the red coloured pole. Paul claims that the probability of winning on any go is 1 4. He charges 30p per go and awards a prize of 50p to winning throws. (a) Paul expects 300 people to play in a day. Assuming his claim is true, how much profit will he make each day? (b) Chloe thinks that Paul is wrong. She decides to conduct an experiment. The table show the results. (4) Estimate the probability of winning from this experiment. (3) (Total 7 marks)
26 Question 2. A machine used to pack crisps had 200 bags tested for weight. 10 of the bags were underweight. (a) Estimate the probability that the next bag of crisps from the machine is underweight.. (b) The machine packs 500 bags. How many would you expect to be underweight?. Question 3. (Total 2 marks) A car manufacturer wants to work out an estimate for the number of cars of each colour that will be bought next year. The Managing Director says to record the colours of the next 100 cars sold. The Assistant Director says to record the colours of the next 1000 cars sold. Who is more likely to get the better estimate? Give a reason for your answer.. (Total 1 mark) Total /10
27 PLC Papers Created For: Year 10 Topic Practice Papers: Probability
28 Mutually Exclusive Sum 1 Grade 4 SOLUTIONS Objective: Know that the sum of all possible mutually exclusive outcomes is 1. Question 1. Here are some probabilities of particular events happening. Write down the probabilities of the events not happening: (a) P(h) = (e) P(h) = 88% 12% (b) P(h) = (f) P(h) = 75.5% 24.5% (c) P(h) = (g) P(h) = 1 4 (d) P(h) = 52% 48% (h) P(h) = 11 Each value B (8) (Total 8 marks) Question 2. Benny and Brad play a game of chess. From analysing previous games, the probability of Benny winning is 0.3. What is the probability of Brad winning? M1 0.7 A1 (Total 2 marks) Total /10
29 Mutually Exclusive Sum 2 Grade 4 SOLUTIONS Objective: Know that the sum of all possible mutually exclusive outcomes is 1. Question 1. There are black, blue, red and yellow counters in a bag. Find the probability of a yellow counter being pulled out, if the probabilities listed in the table show the likelihood of each of the other colours: (a) Black Blue Red Yellow ( ) = 0.4 M1A1 (b) Black Blue Red Yellow ( ) = 0.39 M1A1 (c) Black Blue Red Yellow 46% 11% 24% 19% 100% - (46% + 11% + 24%) = 19% M1A1 (a) Black Blue Red Yellow ( ) = 11/20 M1A1 (Total 8 marks) Question 2. Dave and Bernadette play a game of chess. From analysing previous games, the probability of Dave winning a chess match is 0.42, the probability Bernadette will win is What is the probability of a draw? 1 ( ) = M A1 (Total 2 marks) Total /10
30 Mutually Exclusive Sum 3 Grade 4 SOLUTIONS Objective: Know that the sum of all possible mutually exclusive outcomes is 1. Question 1. A bag contains only red counters, white counters, yellow counters and black counters. Tom is going to take a counter at random from the bag. The table shows each of the probabilities that Tom will take a red counter or a white counter or a yellow counter or a black counter. (a) Work out the probability that Tom will take a yellow counter. 1 ( ) = 0.65 M = 0.13 A1 Tom says that there are exactly 10 white counters in the bag. Tom is wrong. (b) Explain why there cannot be exactly 10 white counters in the bag = 2.5 which is not a whole number C1. (Total 3 marks)
31 Question 2. There are only white counters, pink counters, green counters and blue counters in a bag. The table shows the probabilities of picking at random a white counter and picking at random a blue counter. The probability of picking a pink counter is the same as the probability of picking a green counter. (a) Complete the table. 1 ( ) = 0.48 M = 0.24 A1... (b) What is the probability of picking a white or a green counter? = 0.58 A1 ft... (Total 3 marks)
32 Question 3. A bag contains counters that are red, orange, yellow or green. A counter is chosen at random. The probability it is red is Work out the probability it is green. 4x + 2x + x + 4 = 7x + 4 7x + 4 = 88 x = 12 P(green) = = 16/100 M1 M1 M1 A1... (4) (Total 4 marks) Total /10
33 Mutually Exclusive Sum 4 Grade 4 SOLUTIONS Objective: Know that the sum of all possible mutually exclusive outcomes is 1. Question 1. A biscuit tin contains chocolate digestives, shortbread, custard creams and cookies. Henry is going to take a biscuit at random from the tin. The table shows each of the probabilities that Henry will take a chocolate digestive or a shortbread or a custard cream or a cookie. (a) Work out the probability that Henry will choose a custard cream. 1 ( ) = 0.42 M = 0.14 A1 Henry says that there are exactly 9 shortbread biscuits in the tin. Henry is wrong. (b) Explain why there cannot be exactly 9 shortbread biscuits in the tin. 9 2 = 4.5 which is not a whole number C1. (Total 3 marks)
34 Question 2. Nadine has a choice of strawberry, peach, vanilla or cherry yoghurts. The table shows the probabilities of picking at random a strawberry yoghurt and picking at random a cherry yoghurt. The probability of picking a peach yoghurt is the same as the probability of picking a vanilla yoghurt. (a) Complete the table. 1 ( ) = 0.22 M = 0.11 A1... (b) What is the probability of not choosing a cherry yoghurt? = 0.87 A1 OR = (Total 3 marks)
35 Question 3. A café serves chocolate, strawberry, banana or vanilla flavoured milkshakes. Kelly chooses a flavour at random. The probability it is chocolate is Work out the probability it is strawberry. 3x + x + x + 8 = 5x + 8 5x + 8 = 58 x = 10 P(Strawberry) = 3 x 10 = 30/100 M1 M1 M1 A1... (4) (Total 4 marks) Total /10
36 Relative Frequency 1 Grade 4 SOLUTIONS Objective: Understand how relative expected frequencies relate to theoretical probability. Question 1. Jim, Hannah and Laura want to find out if a coin is biased. They decide to toss the coin and count the number of times it lands on heads. The table shows the number of trials each person completes and the number of times the coin lands on heads. (a) Complete the table to show the relative frequency for each experiment. Give your answer as a decimal. One mark for each correct relative frequency M3 (b) Which person did the most accurate experiment? Explain your choice. (3) Laura M1 Because she did the most trials M1 (c) Is the coin fair? Explain your answer. No, you would expect the relative frequency to be close to 0.5. M1 (Must compare relative frequency to 0.5). (Total 6 marks)
37 Question 2. A bag contains 27 red beads and 18 blue beads. I choose a bead from the bag at random, record the colour and replace it. (a) What is the probability that I will get a red bead? = 45 M1 (45 seen as a denominator) = 3 5 A1 oe (b) If I repeat this experiment 80 times, how many times would I expect to get a red bead? M1 ft (Allow their probability multiplied by 80) = 48 times A1 ft (Total 4 marks) Total /10
38 Relative Frequency 3 Grade 4 SOLUTIONS Objective: Understand how relative expected frequencies relate to theoretical probability. Question 1. A charity game at a fete is won when a ball is rolled down a board and lands in an even numbered pot. Mr Barker claims that the probability of winning on any go is 1 3. He charges 20p per go and awards a prize of 40p to winning rolls. (a) Mr Barker expects 450 people to play. Assuming his claim is true, how much money will he make for charity? 1 3 of 450 = 150 M1 Total money raised = 450 x 20p = 90 M1 Prize money = 150 x 40p = 60 M = 30 A1 (4) (b) Class 10B think that Mr Barker is wrong. They decide to conduct an experiment. The table show the results. Estimate the probability of winning from this experiment. Total = 160 M (= ) (= ) M A1 (3) (Total 7 marks)
39 Question 2. Seb flips a coin 10 times and gets 7 heads. (a) Explain why he thinks the coin might be biased. He has more heads than expected, would only expect 5 heads. C1. He flips the same coin 200 times and gets 102 heads. (b) Explain why he now thinks the coin is fair. He has a similar number of heads to what is expected, would expect 100. C1. (c) Which is the most accurate estimate of the experimental probability of getting a head? Explain your answer. 200 times the more trials the more accurate. C1. (Total 3 marks) Total /10
40 Probability of independent events 1 Grade 5 SOLUTIONS Objective: To calculate the probability of independent events using tree diagrams. Question 1. Wendy goes to a fun fair. She has one go at Hoopla and one go on the Coconut shy. The probability that she wins at Hoopla is 0.4 whereas the probability that she wins on the Coconut shy is 0.3. (a) Complete the probability tree diagram. B1 for 0.6 in correct position on tree diagram B1 for 0.7, 0.3, 0.7 in correct positions on tree diagram (b) Work out the probability that Wendy wins at Hoopla and also wins on the Coconut shy. 0.4 x 0.3 = (M1) 0.12 (A1)... (Total 4 marks)
41 Question 2 Lily and Anna take a test. The probability that Lily will pass the test is 0.6 The probability that Anna will pass the test is 0.8 (a) Work out the probability that both of these girls fail the test = = 0.2 B1 for 0.4 or 0.2 seen 0.4 x 0.2 M1 indication of correct branch formed on tree diagram or otherwise, leading to 0.4 x 0.2 A (b) Work out the probability that both of these girls pass the test or that both of these girls fail the test. 0.4 x x 0.8 M1 for 0.6 x 0.8 or 0.4 x 0.2 M1 0.6 x x 0.2 or A (3) Total /10 (3) (Total 6 marks)
42 Probability of independent events 2 Grade 5 SOLUTIONS Objective: To calculate the probability of independent events using tree diagrams. Question 1. In a newsagent's shop, the probability that any customer buys a newspaper is 0.6. In the same shop, the probability that any customer buys a magazine is 0.3. (a) Complete the probability tree diagram. B2 for 6 correct probabilities in the correct positions, B1 for 2, 3, 4 or 5 correct (b) Work out the probability that a customer will buy either a newspaper or a magazine but not both. 0.6 x x 0.3 M1 for 0.6 x 0.7 or 0.4 x 0.3 M1 for 0.6 x x 0.3 OR M1 for 0.6 x x 0.7 M1 for 1- ( 0.6 x x 0.7 ) A (3) (Total 5 marks)
43 Question 2 Yvonne has 10 tulip bulbs in a bag. 7 of the tulip bulbs will grow into red tulips. 3 of the tulip bulbs will grow into yellow tulips. Yvonne takes at random two tulip bulbs from the bag. She plants the bulbs. (a) Complete the probability tree diagram. B1 for 3/10 on left hand of yellow branch B1 for rest of fractions correct on tree diagram (b) Work out the probability that at least one of the bulbs will grow into a yellow tulip. M1 for 7 10 x 3 9 or 3 10 x 7 9 or 3 10 x 2 9 M1 for 7 10 x x x 2 9 OR M1 for 7 10 x 6 9 M1 for x 6 9 A oe (3) (Total 5 marks) Total /10
44 Probability of independent events 3 Grade 5 SOLUTIONS Objective: To calculate the probability of independent events using tree diagrams. Question 1. When John throws a dart, the probability that he hits the target is 0 2. Each attempt is independent of any previous throw. (a) What is the probability that he hits the target for the first time on his third attempt? P(miss) = 0.8 P(miss, miss, hit) = 0.8 x 0.8 x 0.2 M A1 (b) Check whether or not there is more than a 40% chance of John hitting the target once only on his first three attempts. P(H,M,M) = 0.2 x 0.8 x 0.8 or P(M,H,M) = 0.8 x 0.2 x 0.8 or P(M,M,H) = 0.8 x 0.8 x 0.2 P(H,M,M) = 0.2 x 0.8 x P(M,H,M) = 0.8 x 0.2 x P(M,M,H) = 0.8 x 0.8 x 0.2 M1 M which is less than 40% A1 (3) (Total 5 marks)
45 Question 2 The probability that Rachel will win any game of tennis is p. She plays two games of tennis. (a) Complete, in terms of p, the probability tree diagram. B1 For 1 p. B1 For all probabilities correct. (b) Write down an expression, in terms of p, for the probability that Rachel will win both games. p x p = p 2 A1 (c) Write down an expression, in terms of p, for the probability that Rachel will win exactly one of the games. P(1 p) M1 2 x p(1 p) = 2p(1 p) A1 oe (Total 5 marks) Total /10
46 Probability of independent events 4 Grade 5 SOLUTIONS Objective: To calculate the probability of independent events using tree diagrams. Question 1. On Saturday, Luke takes part in a high jump competition. He has to jump at least 2 metres to qualify for the final on Sunday. He has up to three jumps to qualify. If he jumps at least 2 metres he does not jump again on Saturday. Each time Luke jumps, the probability he jumps at least 2 metres is 0.7. Assume each jump is independent. (a) Complete the tree diagram. (b) Work out the probability that he does not need the third jump to qualify. P(qualifies 1 st attempt) = P(qualifies 2 nd attempt) = 0.3 x 0.7 (= 0.21) M A1 (Total 4 marks)
47 Question 2 There are 10 pencils in a box. There are x blue pencils in the box. All the other pencils are red. Emma selects a pencil from the box and replaces it. She then chooses another pencil. (a) Complete, in terms of x, the probability tree diagram. (b) Write down an expression, in terms of x, for the probability that Emma will choose two blue pencils. x x x = x 2 A1 (c) Write down an expression, in terms of x, for the probability that Emma will choose a pencil of each colour. x(10 x) M1 2 x x(10 x) = 2x(10 x) A1 (Total 5 marks)
48 Question 3 A bag contains 7 blue counters and 3 red counters. John calculates that the probability of picking 2 red counters in a row is = What assumption has John made for his answer to be correct? He has assumed the first counter has been replaced. C1. (Total 1 mark) Total /10
49 Relative Frequency 2 Grade 4 SOLUTIONS Objective: Understand how relative expected frequencies relate to theoretical probability. Question 1. Sian rolls a die 50 times and records the results in the table below. (a) Complete the table to show the relative frequency for each experiment. Give your answer as a decimal. All relative frequencies correct (If at least 2 are correct) M2 M1 (b) Does the die appear to be biased? Explain your answer. Yes because you get more 5 s than you would expect. C1 (c) How many times would you expect each number to occur? 50 6 = M1 8 or 9 times A1 (Total 5 marks)
50 Question 2. A teacher has 8 boys and 9 girls in her class. She chooses one of them at random. (a) What is the probability that she chooses a girl? = 17 M1 (17 seen as a denominator) 9 17 (Allow or better) A1 (b) Another teacher has 14 boys and 16 girls in his class. He chooses a student at random whenever he wants someone to answer a question. He does this 70 times one week. How many times would he expect to choose a boy? = 7 15 (Allow or better) M1 7 x 70 = M1 (Allow FT from their calculation) 15 He would expect to choose a boy 32 or 33 times. A1 (3) (Total 5 marks) Total /10
51 Relative Frequency 4 Grade 4 SOLUTIONS Objective: Understand how relative expected frequencies relate to theoretical probability. Question 1. A fairground game is won when a hoop is thrown and lands on the red coloured pole. Paul claims that the probability of winning on any go is 1 4. He charges 30p per go and awards a prize of 50p to winning throws. (a) Paul expects 300 people to play in a day. Assuming his claim is true, how much profit will he make each day? 1 4 of 300 = 75 M1 Total money raised = 300 x 30p = 90 M1 Prize money = 75 x 50p = M = A1 (4) (b) Chloe thinks that Paul is wrong. She decides to conduct an experiment. The table show the results. Estimate the probability of winning from this experiment. Total = 181 M M A1 (3) (Total 7 marks)
52 Question 2. A machine used to pack crisps had 200 bags tested for weight. 10 of the bags were underweight. (a) Estimate the probability that the next bag of crisps from the machine is underweight = (b) The machine packs 500 bags. How many would you expect to be underweight? 1 20 x 500 = 25. Question 3. (Total 2 marks) A car manufacturer wants to work out an estimate for the number of cars of each colour that will be bought next year. The Managing Director says to record the colours of the next 100 cars sold. The Assistant Director says to record the colours of the next 1000 cars sold. Who is more likely to get the better estimate? Give a reason for your answer. Assistant Director the more cars recorded the more accurate the estimate.. (Total 1 mark) Total /10
Section A Calculating Probabilities & Listing Outcomes Grade F D
Name: Teacher Assessment Section A Calculating Probabilities & Listing Outcomes Grade F D 1. A fair ordinary six-sided dice is thrown once. The boxes show some of the possible outcomes. Draw a line from
More informationProbability GCSE MATHS. Name: Teacher: By the end this pack you will be able to: 1. Find probabilities on probability scales
Probability GCSE MATHS Name: Teacher: Learning objectives By the end this pack you will be able to: 1. Find probabilities on probability scales 2. Calculate theoretical probability and relative frequency
More informationA collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Name: Total Marks:
Probability 2 (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Name: Total Marks: 1. Andy sometimes gets a lift to and from college. When
More informationChance and Probability
G Student Book Name Series G Contents Topic Chance and probability (pp. ) probability scale using samples to predict probability tree diagrams chance experiments using tables location, location apply lucky
More informationP(H and H) 5 1_. The probability of picking the ace of diamonds from a pack of cards is 1
Probability Links to: Middle Student Book h, pp.xx xx Key Points alculating the probability an event does not happen ( Probability that an event will not happen ) ( Mutually exclusive events Probability
More informationMEP Practice Book ES5. 1. A coin is tossed, and a die is thrown. List all the possible outcomes.
5 Probability MEP Practice Book ES5 5. Outcome of Two Events 1. A coin is tossed, and a die is thrown. List all the possible outcomes. 2. A die is thrown twice. Copy the diagram below which shows all the
More informationSTRAND: PROBABILITY Unit 2 Probability of Two or More Events
STRAND: PROAILITY Unit 2 Probability of Two or More Events TEXT Contents Section 2. Outcome of Two Events 2.2 Probability of Two Events 2. Use of Tree Diagrams 2 Probability of Two or More Events 2. Outcome
More informationFunctional Skills Mathematics
Functional Skills Mathematics Level Learning Resource Probability D/L. Contents Independent Events D/L. Page - Combined Events D/L. Page - 9 West Nottinghamshire College D/L. Information Independent Events
More informationPart 1: I can express probability as a fraction, decimal, and percent
Name: Pattern: Part 1: I can express probability as a fraction, decimal, and percent For #1 to #4, state the probability of each outcome. Write each answer as a) a fraction b) a decimal c) a percent Example:
More informationKS3 Levels 3-8. Unit 3 Probability. Homework Booklet. Complete this table indicating the homework you have been set and when it is due by.
Name: Maths Group: Tutor Set: Unit 3 Probability Homework Booklet KS3 Levels 3-8 Complete this table indicating the homework you have been set and when it is due by. Date Homework Due By Handed In Please
More informationWorksheets for GCSE Mathematics. Probability. mr-mathematics.com Maths Resources for Teachers. Handling Data
Worksheets for GCSE Mathematics Probability mr-mathematics.com Maths Resources for Teachers Handling Data Probability Worksheets Contents Differentiated Independent Learning Worksheets Probability Scales
More informationMEP Practice Book SA5
5 Probability 5.1 Probabilities MEP Practice Book SA5 1. Describe the probability of the following events happening, using the terms Certain Very likely Possible Very unlikely Impossible (d) (e) (f) (g)
More informationOCR Maths S1. Topic Questions from Papers. Probability
OCR Maths S1 Topic Questions from Papers Probability PhysicsAndMathsTutor.com 16 Louise and Marie play a series of tennis matches. It is given that, in any match, the probability that Louise wins the first
More informationThis unit will help you work out probability and use experimental probability and frequency trees. Key points
Get started Probability This unit will help you work out probability and use experimental probability and frequency trees. AO Fluency check There are 0 marbles in a bag. 9 of the marbles are red, 7 are
More informationOn the probability scale below mark, with a letter, the probability that the spinner will land
GCSE Exam Questions on Basic Probability. Richard has a box of toy cars. Each car is red or blue or white. 3 of the cars are red. 4 of the cars are blue. of the cars are white. Richard chooses one car
More informationChance and Probability
Student Teacher Chance and Probability My name Series G Copyright 009 P Learning. All rights reserved. First edition printed 009 in Australia. A catalogue record for this book is available from P Learning
More informationIndependent Events B R Y
. Independent Events Lesson Objectives Understand independent events. Use the multiplication rule and the addition rule of probability to solve problems with independent events. Vocabulary independent
More informationMutually Exclusive Events Algebra 1
Name: Mutually Exclusive Events Algebra 1 Date: Mutually exclusive events are two events which have no outcomes in common. The probability that these two events would occur at the same time is zero. Exercise
More informationMATH STUDENT BOOK. 7th Grade Unit 6
MATH STUDENT BOOK 7th Grade Unit 6 Unit 6 Probability and Graphing Math 706 Probability and Graphing Introduction 3 1. Probability 5 Theoretical Probability 5 Experimental Probability 13 Sample Space 20
More informationProbability Essential Math 12 Mr. Morin
Probability Essential Math 12 Mr. Morin Name: Slot: Introduction Probability and Odds Single Event Probability and Odds Two and Multiple Event Experimental and Theoretical Probability Expected Value (Expected
More informationRevision Topic 17: Probability Estimating probabilities: Relative frequency
Revision Topic 17: Probability Estimating probabilities: Relative frequency Probabilities can be estimated from experiments. The relative frequency is found using the formula: number of times event occurs.
More informationChance and Probability
F Student Book Name Series F Contents Topic Chance and probability (pp. 0) ordering events relating fractions to likelihood chance experiments fair or unfair the mathletics cup create greedy pig solve
More informationTheoretical or Experimental Probability? Are the following situations examples of theoretical or experimental probability?
Name:Date:_/_/ Theoretical or Experimental Probability? Are the following situations examples of theoretical or experimental probability? 1. Finding the probability that Jeffrey will get an odd number
More informationA 21.0% B 34.3% C 49.0% D 70.0%
. For a certain kind of plant, 70% of the seeds that are planted grow into a flower. If Jenna planted 3 seeds, what is the probability that all of them grow into flowers? A 2.0% B 34.3% C 49.0% D 70.0%
More informationMini-Unit. Data & Statistics. Investigation 1: Correlations and Probability in Data
Mini-Unit Data & Statistics Investigation 1: Correlations and Probability in Data I can Measure Variation in Data and Strength of Association in Two-Variable Data Lesson 3: Probability Probability is a
More informationProbability. Probabilty Impossibe Unlikely Equally Likely Likely Certain
PROBABILITY Probability The likelihood or chance of an event occurring If an event is IMPOSSIBLE its probability is ZERO If an event is CERTAIN its probability is ONE So all probabilities lie between 0
More information1. A factory manufactures plastic bottles of 4 different sizes, 3 different colors, and 2 different shapes. How many different bottles are possible?
Unit 8 Quiz Review Short Answer 1. A factory manufactures plastic bottles of 4 different sizes, 3 different colors, and 2 different shapes. How many different bottles are possible? 2. A pizza corner offers
More informationNotes #45 Probability as a Fraction, Decimal, and Percent. As a result of what I learn today, I will be able to
Notes #45 Probability as a Fraction, Decimal, and Percent As a result of what I learn today, I will be able to Probabilities can be written in three ways:,, and. Probability is a of how an event is to.
More informationUnit 6: What Do You Expect? Investigation 2: Experimental and Theoretical Probability
Unit 6: What Do You Expect? Investigation 2: Experimental and Theoretical Probability Lesson Practice Problems Lesson 1: Predicting to Win (Finding Theoretical Probabilities) 1-3 Lesson 2: Choosing Marbles
More informationA. 15 B. 24 C. 45 D. 54
A spinner is divided into 8 equal sections. Lara spins the spinner 120 times. It lands on purple 30 times. How many more times does Lara need to spin the spinner and have it land on purple for the relative
More informationPROBABILITY M.K. HOME TUITION. Mathematics Revision Guides. Level: GCSE Foundation Tier
Mathematics Revision Guides Probability Page 1 of 18 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier PROBABILITY Version: 2.1 Date: 08-10-2015 Mathematics Revision Guides Probability
More informationSERIES Chance and Probability
F Teacher Student Book Name Series F Contents Topic Section Chance Answers and (pp. Probability 0) (pp. 0) ordering chance and events probability_ / / relating fractions to likelihood / / chance experiments
More informationExam Style Questions. Revision for this topic. Name: Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser
Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering
More informationGrade 8 Math Assignment: Probability
Grade 8 Math Assignment: Probability Part 1: Rock, Paper, Scissors - The Study of Chance Purpose An introduction of the basic information on probability and statistics Materials: Two sets of hands Paper
More informationProbability - Grade 10 *
OpenStax-CNX module: m32623 1 Probability - Grade 10 * Rory Adams Free High School Science Texts Project Sarah Blyth Heather Williams This work is produced by OpenStax-CNX and licensed under the Creative
More informationLesson 17.1 Assignment
Lesson 17.1 Assignment Name Date Is It Better to Guess? Using Models for Probability Charlie got a new board game. 1. The game came with the spinner shown. 6 7 9 2 3 4 a. List the sample space for using
More informationTail. Tail. Head. Tail. Head. Head. Tree diagrams (foundation) 2 nd throw. 1 st throw. P (tail and tail) = P (head and tail) or a tail.
When you flip a coin, you might either get a head or a tail. The probability of getting a tail is one chance out of the two possible outcomes. So P (tail) = Complete the tree diagram showing the coin being
More informationThe Teachers Circle Mar. 20, 2012 HOW TO GAMBLE IF YOU MUST (I ll bet you $5 that if you give me $10, I ll give you $20.)
The Teachers Circle Mar. 2, 22 HOW TO GAMBLE IF YOU MUST (I ll bet you $ that if you give me $, I ll give you $2.) Instructor: Paul Zeitz (zeitzp@usfca.edu) Basic Laws and Definitions of Probability If
More informationName. Is the game fair or not? Prove your answer with math. If the game is fair, play it 36 times and record the results.
Homework 5.1C You must complete table. Use math to decide if the game is fair or not. If Period the game is not fair, change the point system to make it fair. Game 1 Circle one: Fair or Not 2 six sided
More informationPROBABILITY. 1. Introduction. Candidates should able to:
PROBABILITY Candidates should able to: evaluate probabilities in simple cases by means of enumeration of equiprobable elementary events (e.g for the total score when two fair dice are thrown), or by calculation
More information1. Theoretical probability is what should happen (based on math), while probability is what actually happens.
Name: Date: / / QUIZ DAY! Fill-in-the-Blanks: 1. Theoretical probability is what should happen (based on math), while probability is what actually happens. 2. As the number of trials increase, the experimental
More informationUnit 7 Central Tendency and Probability
Name: Block: 7.1 Central Tendency 7.2 Introduction to Probability 7.3 Independent Events 7.4 Dependent Events 7.1 Central Tendency A central tendency is a central or value in a data set. We will look at
More informationProbability: introduction
May 6, 2009 Probability: introduction page 1 Probability: introduction Probability is the part of mathematics that deals with the chance or the likelihood that things will happen The probability of an
More informationDate. Probability. Chapter
Date Probability Contests, lotteries, and games offer the chance to win just about anything. You can win a cup of coffee. Even better, you can win cars, houses, vacations, or millions of dollars. Games
More informationThe tree diagram and list show the possible outcomes for the types of cookies Maya made. Peppermint Caramel Peppermint Caramel Peppermint Caramel
Compound Probabilities using Multiplication and Simulation Lesson 4.5 Maya was making sugar cookies. She decorated them with one of two types of frosting (white or pink), one of three types of sprinkles
More informationCLASSIFIED A-LEVEL PROBABILITY S1 BY: MR. AFDZAL Page 1
5 At a zoo, rides are offered on elephants, camels and jungle tractors. Ravi has money for only one ride. To decide which ride to choose, he tosses a fair coin twice. If he gets 2 heads he will go on the
More informationLesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
NYS COMMON CORE MAEMAICS CURRICULUM 7 : Calculating Probabilities for Chance Experiments with Equally Likely Classwork Examples: heoretical Probability In a previous lesson, you saw that to find an estimate
More informationCOMPOUND EVENTS. Judo Math Inc.
COMPOUND EVENTS Judo Math Inc. 7 th grade Statistics Discipline: Black Belt Training Order of Mastery: Compound Events 1. What are compound events? 2. Using organized Lists (7SP8) 3. Using tables (7SP8)
More informationCCM6+7+ Unit 11 ~ Page 1. Name Teacher: Townsend ESTIMATED ASSESSMENT DATES:
CCM6+7+ Unit 11 ~ Page 1 CCM6+7+ UNIT 11 PROBABILITY Name Teacher: Townsend ESTIMATED ASSESSMENT DATES: Unit 11 Vocabulary List 2 Simple Event Probability 3-7 Expected Outcomes Making Predictions 8-9 Theoretical
More informationWhen combined events A and B are independent:
A Resource for ree-standing Mathematics Qualifications A or B Mutually exclusive means that A and B cannot both happen at the same time. Venn Diagram showing mutually exclusive events: Aces The events
More informationName: Class: Date: 6. An event occurs, on average, every 6 out of 17 times during a simulation. The experimental probability of this event is 11
Class: Date: Sample Mastery # Multiple Choice Identify the choice that best completes the statement or answers the question.. One repetition of an experiment is known as a(n) random variable expected value
More informationProbability Rules. 2) The probability, P, of any event ranges from which of the following?
Name: WORKSHEET : Date: Answer the following questions. 1) Probability of event E occurring is... P(E) = Number of ways to get E/Total number of outcomes possible in S, the sample space....if. 2) The probability,
More informationMath : Probabilities
20 20. Probability EP-Program - Strisuksa School - Roi-et Math : Probabilities Dr.Wattana Toutip - Department of Mathematics Khon Kaen University 200 :Wattana Toutip wattou@kku.ac.th http://home.kku.ac.th/wattou
More informationLesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
Lesson : Calculating Probabilities for Chance Experiments with Equally Likely Outcomes Classwork Example : heoretical Probability In a previous lesson, you saw that to find an estimate of the probability
More informationBasic Probability Ideas. Experiment - a situation involving chance or probability that leads to results called outcomes.
Basic Probability Ideas Experiment - a situation involving chance or probability that leads to results called outcomes. Random Experiment the process of observing the outcome of a chance event Simulation
More informationA 20% B 25% C 50% D 80% 2. Which spinner has a greater likelihood of landing on 5 rather than 3?
1. At a middle school, 1 of the students have a cell phone. If a student is chosen at 5 random, what is the probability the student does not have a cell phone? A 20% B 25% C 50% D 80% 2. Which spinner
More informationFind the probability of an event by using the definition of probability
LESSON 10-1 Probability Lesson Objectives Find the probability of an event by using the definition of probability Vocabulary experiment (p. 522) trial (p. 522) outcome (p. 522) sample space (p. 522) event
More informationUse the table above to fill in this simpler table. Buttons. Sample pages. Large. Small. For the next month record the weather like this.
5:01 Drawing Tables Use the picture to fill in the two-way table. Buttons Red Blue Green Use the table above to fill in this simpler table. Buttons Red Blue Green Show the data from Question 1 on a graph.
More informationFinite Mathematics MAT 141: Chapter 8 Notes
Finite Mathematics MAT 4: Chapter 8 Notes Counting Principles; More David J. Gisch The Multiplication Principle; Permutations Multiplication Principle Multiplication Principle You can think of the multiplication
More informationFunctional Skills Mathematics
Functional Skills Mathematics Level Learning Resource HD2/L. HD2/L.2 Excellence in skills development Contents HD2/L. Pages 3-6 HD2/L.2 West Nottinghamshire College 2 HD2/L. HD2/L.2 Information is the
More informationThe Human Fruit Machine
The Human Fruit Machine For Fetes or Just Fun! This game of chance is good on so many levels. It helps children with maths, such as probability, statistics & addition. As well as how to raise money at
More informationSection Theoretical and Experimental Probability...Wks 3
Name: Class: Date: Section 6.8......Theoretical and Experimental Probability...Wks 3. Eight balls numbered from to 8 are placed in a basket. One ball is selected at random. Find the probability that it
More informationTHE NORTH LONDON INDEPENDENT GIRLS SCHOOLS CONSORTIUM MATHEMATICS
THE NORTH LONDON INDEPENDENT GIRLS SCHOOLS CONSORTIUM Group 1 YEAR 7 ENTRANCE EXAMINATION MATHEMATICS Friday 18 January 2013 Time allowed: 1 hour 15 minutes First Name:... Surname:... Instructions: Please
More informationCSC/MTH 231 Discrete Structures II Spring, Homework 5
CSC/MTH 231 Discrete Structures II Spring, 2010 Homework 5 Name 1. A six sided die D (with sides numbered 1, 2, 3, 4, 5, 6) is thrown once. a. What is the probability that a 3 is thrown? b. What is the
More informationUnit 11 Probability. Round 1 Round 2 Round 3 Round 4
Study Notes 11.1 Intro to Probability Unit 11 Probability Many events can t be predicted with total certainty. The best thing we can do is say how likely they are to happen, using the idea of probability.
More information5.6. Independent Events. INVESTIGATE the Math. Reflecting
5.6 Independent Events YOU WILL NEED calculator EXPLORE The Fortin family has two children. Cam determines the probability that the family has two girls. Rushanna determines the probability that the family
More information4.1 Sample Spaces and Events
4.1 Sample Spaces and Events An experiment is an activity that has observable results. Examples: Tossing a coin, rolling dice, picking marbles out of a jar, etc. The result of an experiment is called an
More information2. Let E and F be two events of the same sample space. If P (E) =.55, P (F ) =.70, and
c Dr. Patrice Poage, August 23, 2017 1 1324 Exam 1 Review NOTE: This review in and of itself does NOT prepare you for the test. You should be doing this review in addition to all your suggested homework,
More informationGEOMETRIC DISTRIBUTION
GEOMETRIC DISTRIBUTION Question 1 (***) It is known that in a certain town 30% of the people own an Apfone. A researcher asks people at random whether they own an Apfone. The random variable X represents
More informationName: Period: Date: 7 th Pre-AP: Probability Review and Mini-Review for Exam
Name: Period: Date: 7 th Pre-AP: Probability Review and Mini-Review for Exam 4. Mrs. Bartilotta s mathematics class has 7 girls and 3 boys. She will randomly choose two students to do a problem in front
More informationHARDER PROBABILITY. Two events are said to be mutually exclusive if the occurrence of one excludes the occurrence of the other.
HARDER PROBABILITY MUTUALLY EXCLUSIVE EVENTS AND THE ADDITION LAW OF PROBABILITY Two events are said to be mutually exclusive if the occurrence of one excludes the occurrence of the other. Example Throwing
More informationMath 1313 Section 6.2 Definition of Probability
Math 1313 Section 6.2 Definition of Probability Probability is a measure of the likelihood that an event occurs. For example, if there is a 20% chance of rain tomorrow, that means that the probability
More informationA B C. 142 D. 96
Data Displays and Analysis 1. stem leaf 900 3 3 4 5 7 9 901 1 1 1 2 4 5 6 7 8 8 8 9 9 902 1 3 3 3 4 6 8 9 9 903 1 2 2 3 3 3 4 7 8 9 904 1 1 2 4 5 6 8 8 What is the range of the data shown in the stem-and-leaf
More informationClass XII Chapter 13 Probability Maths. Exercise 13.1
Exercise 13.1 Question 1: Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E F) = 0.2, find P (E F) and P(F E). It is given that P(E) = 0.6, P(F) = 0.3, and P(E F) = 0.2 Question 2:
More informationReigate Grammar School. 11+ Entrance Examination January 2014 MATHEMATICS
Reigate Grammar School + Entrance Examination January 204 MATHEMATICS Time allowed: 45 minutes NAME Work through the paper carefully You do not have to finish everything Do not spend too much time on any
More informationSTRAND: PROBABILITY Unit 1 Probability of One Event
STRAND: PROBABILITY Unit 1 Probability of One Event TEXT Contents Section 1.1 Probabilities 1.2 Straightforward Probability 1.3 Finding Probabilities Using Relative Frequency 1.4 Determining Probabilities
More informationWhat Do You Expect? Concepts
Important Concepts What Do You Expect? Concepts Examples Probability A number from 0 to 1 that describes the likelihood that an event will occur. Theoretical Probability A probability obtained by analyzing
More informationTake a Chance on Probability. Probability and Statistics is one of the strands tested on the California Standards Test.
Grades -4 Probability and tatistics is one of the strands tested on the California tandards Test. Probability is introduced in rd grade. Many students do not work on probability concepts in 5 th grade.
More informationLC OL Probability. ARNMaths.weebly.com. As part of Leaving Certificate Ordinary Level Math you should be able to complete the following.
A Ryan LC OL Probability ARNMaths.weebly.com Learning Outcomes As part of Leaving Certificate Ordinary Level Math you should be able to complete the following. Counting List outcomes of an experiment Apply
More information1. The masses, x grams, of the contents of 25 tins of Brand A anchovies are summarized by x =
P6.C1_C2.E1.Representation of Data and Probability 1. The masses, x grams, of the contents of 25 tins of Brand A anchovies are summarized by x = 1268.2 and x 2 = 64585.16. Find the mean and variance of
More informationIntro to Probability
Intro to Probability Random Experiment A experiment is random if: 1) the outcome depends on chance. In other words, the outcome cannot be predicted with certainty (can t know 100%). 2) the set of all possible
More informationepisteme Probability
episteme Probability Problem Set 3 Please use CAPITAL letters FIRST NAME LAST NAME SCHOOL CLASS DATE / / Set 3 1 episteme, 2010 Set 3 2 episteme, 2010 Coin A fair coin is one which is equally likely to
More information, x {1, 2, k}, where k > 0. (a) Write down P(X = 2). (1) (b) Show that k = 3. (4) Find E(X). (2) (Total 7 marks)
1. The probability distribution of a discrete random variable X is given by 2 x P(X = x) = 14, x {1, 2, k}, where k > 0. Write down P(X = 2). (1) Show that k = 3. Find E(X). (Total 7 marks) 2. In a game
More informationToss two coins 10 times. Record the number of heads in each trial, in a table.
Coin Experiment When we toss a coin in the air, we expect it to finish on a head or tail with equal likelihood. What to do: Toss one coin 20 times. ecord the number of heads in each trial, in a table:
More informationLesson 16.1 Assignment
Lesson 16.1 Assignment Name Date Rolling, Rolling, Rolling... Defining and Representing Probability 1. Rasheed is getting dressed in the dark. He reaches into his sock drawer to get a pair of socks. He
More informationSection A Sharing Amounts in a Given Ratio Grade D / C
Name: Teacher Assessment Section A Sharing Amounts in a Given Grade D / C 1. Divide 60 in the ratio 1:5 Answer. and 2. Divide 438 in the ratio 5:1............ 3. A packet contains 24 fibre-tipped pens.
More information1. A factory makes calculators. Over a long period, 2 % of them are found to be faulty. A random sample of 100 calculators is tested.
1. A factory makes calculators. Over a long period, 2 % of them are found to be faulty. A random sample of 0 calculators is tested. Write down the expected number of faulty calculators in the sample. Find
More informationStudy Guide Probability SOL s 6.16, 7.9, & 7.10
Study Guide Probability SOL s 6.16, 7.9, & 7.10 What do I need to know for the upcoming assessment? Find the probability of simple events; Determine if compound events are independent or dependent; Find
More informationProbability. Ms. Weinstein Probability & Statistics
Probability Ms. Weinstein Probability & Statistics Definitions Sample Space The sample space, S, of a random phenomenon is the set of all possible outcomes. Event An event is a set of outcomes of a random
More informationRelative Frequency GCSE MATHEMATICS. These questions have been taken or modified from previous AQA GCSE Mathematics Papers.
GCSE MATHEMATICS Relative Frequency These questions have been taken or modified from previous AQA GCSE Mathematics Papers. Instructions Use black ink or black ball-point pen. Draw diagrams in pencil. Answer
More information10-7 Simulations. Do 20 trials and record the results in a frequency table. Divide the frequency by 20 to get the probabilities.
1. GRADES Clara got an A on 80% of her first semester Biology quizzes. Design and conduct a simulation using a geometric model to estimate the probability that she will get an A on a second semester Biology
More informationpre-hs Probability Based on the table, which bill has an experimental probability of next? A) $10 B) $15 C) $1 D) $20
1. Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results in the table. Based on the table, which bill has an experimental probability of next?
More informationChapter 4: Probability
Student Outcomes for this Chapter Section 4.1: Contingency Tables Students will be able to: Relate Venn diagrams and contingency tables Calculate percentages from a contingency table Calculate and empirical
More informationTopic : ADDITION OF PROBABILITIES (MUTUALLY EXCLUSIVE EVENTS) TIME : 4 X 45 minutes
Worksheet 6 th Topic : ADDITION OF PROBABILITIES (MUTUALLY EXCLUSIVE EVENTS) TIME : 4 X 45 minutes STANDARD COMPETENCY : 1. To use the statistics rules, the rules of counting, and the characteristic of
More informationDate Learning Target/s Classwork Homework Self-Assess Your Learning. Pg. 2-3: WDYE 2.3: Designing a Fair Game
What Do You Expect: Probability and Expected Value Name: Per: Investigation 2: Experimental and Theoretical Probability Date Learning Target/s Classwork Homework Self-Assess Your Learning Mon, Feb. 29
More informationAdvanced Intermediate Algebra Chapter 12 Summary INTRO TO PROBABILITY
Advanced Intermediate Algebra Chapter 12 Summary INTRO TO PROBABILITY 1. Jack and Jill do not like washing dishes. They decide to use a random method to select whose turn it is. They put some red and blue
More informationToss two coins 60 times. Record the number of heads in each trial, in a table.
Coin Experiment When we toss a coin in the air, we expect it to finish on a head or tail with equal likelihood. What to do: Toss one coin 40 times. ecord the number of heads in each trial, in a table:
More informationFdaytalk.com. Outcomes is probable results related to an experiment
EXPERIMENT: Experiment is Definite/Countable probable results Example: Tossing a coin Throwing a dice OUTCOMES: Outcomes is probable results related to an experiment Example: H, T Coin 1, 2, 3, 4, 5, 6
More informationTime. On the first day of Christmas. Memory. Notation
Hour Minute Second Duration Period Notation 24 hour OR 12 hour clock (am or pm or 12 midnight or 12 noon) On the first day of Time 1 year = 52 weeks = 365 days 1 week = 7 days 1 day = 24 hours 1 hour =
More informationPage 1 of 22. Website: Mobile:
Exercise 15.1 Question 1: Complete the following statements: (i) Probability of an event E + Probability of the event not E =. (ii) The probability of an event that cannot happen is. Such as event is called.
More information