# A. 15 B. 24 C. 45 D. 54

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1 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 frequency to equal the theoretical probability? A. 15 B. 24 C. 45 D. 54

2 Leon uses squares to make a board. He randomly throws a stone onto the board. What is the probability the stone lands on a space marked 3? A. 1/2 B. 1/3 C. 1/4 D. 1/10

3 The temperature when Patrick pitched his tent to camp out was 63. When he woke up at sunrise, it was 25 cooler. What was the temperature when Patrick woke at sunrise? a) 88 b) 38 c) 38 d) 88

4 Use the figure to answer question 38 What is the probability that a dart thrown at the figure above will land in the shaded portion (rounded to the nearest percent)? a) 22% b) 25% c) 54% d) 79%

5 When flipping 3 coins, what is the probability of getting 3 tails? a) 1/8 b) 1/3 c) 3/8 d) 1/2

6 Use the spinner to answer question 40 Matt spins the spinner above 400 times and it lands on six 43 times. How many times out of the 400 spins would you predict the spinner to land on six? a) 6 b) 50 c) 43 d) 66

7 The expression 2 C + 30 represents the degrees Fahrenheit that are about the same as C, degrees Celsius. How many degrees Fahrenheit are about the same as 50 C? A. about 80 C B. about 85 C C. about 100 C D. about 130 C

8 The number of degrees Celsius is about half of 30 less than the equivalent number of degrees Fahrenheit. A comfortable indoor temperature is 72 F. About what temperature is this in degrees Celsius? A. about 6 C B. about 21 C C. about 84 C D. about 114 C

9 Naji saw this sign as she rode past the bank. She knows that the number of degrees Fahrenheit is about 30 more than twice the equivalent number of degrees Celsius. About what is the temperature in degrees Fahrenheit? If two coins are tossed, which theoretical probability is least? A. getting one head and one tail B. getting two heads C. getting two tails D. B and C have the same probability

10 A coin is flipped 10 times. Which experimental outcome is most consistent with theoretical probabilities? A. 1 head and 9 tails B. 2 heads and 8 tails C. 3 heads and 7 tails D. 4 heads and 6 tails What is the sample space for the outcome of throwing a standard die? A. 1 and 6 B. 1 through 6 C. 1, 3, 5 D. 2, 4, 6

11 If Jim throws a die and gets an even number, then he wins. Otherwise, Mike wins. Is this a fair game? A. yes B. No, it is biased in favor of Jim. C. No, it is biased in favor of Mike. D. It cannot be determined. Which answer could NOT be a sample space for drawing one card from a standard deck? A. black card, red card B. ace, two, three... queen, king C. heart, diamond, club, spade D. suit, number, picture card

12 Which answer could NOT be a sample space for tossing two coins? A. 0 heads, 1 head, 2 heads B. HH, HT, TH, TT C. heads, tails If there is ⅓ chance for Tim to go watch a movie and there is ⅖ chance for Lily to go watch the same movie, what is the probability for them both to watch the same movie? A. 1/3 B. 2/5 C. 1/15 D. 2/15

13 If Mike wants to show tomorrow will be a sunny day for sure, how can he express it in terms of probability? A. 0 B. 0.5 C. 0.3 D. 1 A bag contains one blue marble and one yellow marble. You pick a yellow marble and you put it back. What is the probability that the next marble you pick will be blue? A. 0 B C. 0.5 D. 1

14 What is the theoretical probability of rolling a four on one roll of a number cube? A. 2.5% B. 16.7% C. 20% D. 25% What is the theoretical probability of getting three heads in three tosses of a coin? A. 6.25% B. 12.5% C. 25% D. 37.5%

15 If two coins are tossed, which theoretical probability is greatest? A. Getting one head and one tail. B. Getting two heads. C. Getting two tails. D. They are all the same. Based on theoretical probability, which result would be most likely if you tossed a coin 100 times? A. 35 heads and 65 tails B. 40 heads and 60 tails C. 50 heads and 50 tails D. 100 heads and 0 tails

16 What is the theoretical probability of getting a four when rolling one die one time? What is the theoretical probability of getting two tails when two coins are tossed? A class contains 16 boys and 14 girls. The teacher calls on students at random to recite. What is the probability that the first student called upon to recite is a boy? Tom has 4 pairs of pants, 3 shirts, and 5 hats. How many combinations can he make? What are the chances of getting two heads and two tails in four flips of a coin? Draw a diagram or a chart showing the possible outcomes and mark the ones that have two heads and two tails. If the probability of a pitcher throwing a strike is ⅔, what is the probability that he will throw three consecutive strikes? A. 2 B. 4/9 C. 8/27 D. 2/3

17 If the probability that a student will get an A on a test is 2/5, what is the probability that he or she will get two consecutive As? A. 4/25 B. 2/5 C. 3/5 D. 4/5 Referring to the question above, would this probability change if he or she knew that another student had already gotten 2 As? A. Yes B. No C. It might D. Not enough information

18 If there is a 50% chance James will go to the baseball game and a 40% chance that Lily will go to the game, what is the chance that they both will be at the game? A. 1/2 B. 1/5 C. 1/4 D. None of the above If Chris rolls two dice, what is the probability that he will roll two ones? A. 1/6 B. 1/16 C. 1/36 D. 1/48

19 If Team A has a ⅖ chance of winning the hockey championship and Team B has a 1/10 chance, what is the chance that Team A or B will win? A. 1/2 B. 1/4 C. 1/5 D. 1/10

20 The school is having a drawing to win an MP3 player. If 15 boys and 25 girls entered, what is the probability that a girl will win? A. 2/5 B. 3/8 C. 5/8 D. 4/5 If another drawing was being held, with 20 boys and 20 girls, what is the probability that both winners will be girls? A. 2/5 B. 7/8 C. 3/16 D. 5/6 If a third drawing was held, with 16 boys and 24 girls, what is the probability that a boy will win the third drawing?

21 There is a 20% chance of rain on Monday and a 30% chance of rain on Tuesday. What is the probability that the next two days will have no rain? A. 16% B. 28% C. 44% D. 56% What is the probability that it will rain both days? A. 6% B. 14% C. 22% D. 26%

22 There is a bag of marbles with 8 blue marbles and 10 green marbles. If Allison pulls out 2 green marbles, then replaces them, what is the probability that the next one will be green? Explain. A. 4/5 B. 5/9 C. 1/2 D. 3/5 Referring to the above question, if Allison did not replace the original two marbles, then what is the probability that the next one will be green? A. 4/5 B. 5/9 C. 1/2 D. 3/5

23 A paper bag contains red and blue counters. Without looking, Evan drew a counter from the bag, recorded the color, and replaced it. In 50 trials, he got 32 red counters and 18 blue counters. Which is NOT true about the contents of the bag? A. there are more blue counters than red counters B. there are equal numbers of red and blue counters C. there are more red counters than blue counters D. there are no blue counters Marilyn has 5 sisters and one brother. Based on her family, what is the experimental probability of having a boy? A. 1/6 B. 1/5 C. 1/7 D. 1

24 David rolled two dice and found the sum of the numbers that turned up. Which sum is David most likely to get? A. 12 B. 6 C. 7 D. 10 Miriam conducted 40 trials of her experiment. She got a sum of 5 seven times. What is the experimental probability of getting a sum of 5 based on Miriam s experiment? A. 3/40 B. 7/40 C. 3/7 D. 1

25 Ella rolled a die and got a 3 six times in a row. Based on her results, what is the probability of rolling a 3? A. 100% B. 16.7% C. 50% D. 30% Chantal tossed a coin 14 times and got 5 heads and 9 tails. Suppose she repeated the experiment for a total of 1,400 tosses. How many heads and tails are most likely out of the 1,400 tosses? A. 500 heads and 900 tails B. 5 heads and 1395 tails C heads and 150 tails D. 700 heads and 700 tails

26 Jai tossed a coin and rolled a die. His results are in the table. What is the experimental probability of getting heads and an even number? A. 13/50 B. 33/50 C. 17/50 D. 22/50 Christine randomly drew a card from a standard deck of playing cards. She recorded the suit, and replaced the card. Here are her results for 30 trials: What is the experimental probability of getting hearts or spades? A. 19/30 B. 8/30 C. 3/30 D. 11/30 Katherine tossed two coins 12 times. Her results are in the table.

27 What is the experimental probability of NOT getting a head? A.25% B. 0% C. 75% D. 100% Iris spun the pointer on the following spinner 60 times. Each time she recorded the color he spinner landed on. Which of the following tables MOST LIKELY represents her results from the experiment?

28 Flashcards are numbered 1 through 100. What is the probability of picking a flashcard with an odd number on it? Wayne performs a simple experiment with a bag of gumballs. Inside the bag are 16 red gumballs, 14 green gumballs, 11 white gumballs, and 9 yellow gumballs. From the bag he randomly pulls out a gumball. He repeats this simple experiment 20 times. His results are shown in the table. For which color or colors of gumballs was the experimental probability less than the theoretical probability? Ian has 3 pairs of pants, 5 T shirts, and 2 baseball caps. How many different outfits can he make? A. 10 B. 20 C. 30 D. 40

29 How many four digit numbers can you make out of the digits 1, 2, 3, and 4? A. 6 B. 12 C. 18 D. 24 How many four digit numbers can you make out of the digits 1, 2, 3, and 4 if the number must be greater than 2,000? A. 6 B. 12 C. 18 D. 24

30 How many four digit numbers can you make out of the digits 1, 2, 3, and 4 if the number must be less than 2,000? A. 6 B. 12 C. 18 D. 24 If you flip a coin twice, which of these has the highest probability? A. 2 heads B. 1 head, 1 tail C. 2 tails D. All have the same probability.

31 The school has 8 people trying out for the basketball team. Only 5 will be chosen. Use this information to answer these three questions: The coach wants each player to have a turn taking free throws. How many possible orders are there for the players to take their shots? A. Less than 100 B. Between 100 and 1,000 C. Between 1,000 and 20,000 D. Over 20,000 How many possible teams can be made? A. 13 B. 40 C. 56 D. 6,720 If the coach wants to choose 5 players from the 8 and then give them each a unique position, how many combinations of teams can have? A. 13 B. 40 C. 56 D. 6,720

32 John, Paul, and George all attend the same high school. There are 4 unique music classes available for them to take. Use this information to answer questions these three questions: If the three students all end up in different classes, how many possible combinations are there? A. 4 B. 12 C. 24 D. 48 If John and Paul end up in a class together, what are the chances that George will be in the same class? A. 4.2% B. 8.3% C. 20% D. 25% John and Paul are in the same class, but George is in a different one. How many possible combinations of classes are there? A. 4 B. 12 C. 24 D. 48

33 How many new combinations can be made by rearranging the letters of the word MUSIC? A. 119 B. 120 C. 123 D. 124 How many combinations can be made by using the letters of the word VACUUM? A. 119 B. 120 C. 360 D. 720

34 How many different outfits can you make from 4 hats and 3 jackets? Draw a chart to find the answer. Su Mei plans to randomly choose a date in September to stop eating sweets. What is the probability that day will be a Monday?

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