Probability and Statistics 15% of EOC


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1 MGSE912.S.CP.1 1. Which of the following is true for A U B A: 2, 4, 6, 8 B: 5, 6, 7, 8, 9, 10 A. 6, 8 B. 2, 4, 6, 8 C. 2, 4, 5, 6, 6, 7, 8, 8, 9, 10 D. 2, 4, 5, 6, 7, 8, 9, This Venn diagram shows the names of students in Mr. Leary s class that own bicycles and skateboards. 3. Which of the following is true for A U B A: 2, 4, 6, 8 B: 5, 6, 7, 8, 9, 10 A. 2, 4 B. 2, 4, 6, 8 C. 2, 4, 5, 6, 6, 7, 8, 8, 9, 10 D. 2, 4, 5, 6, 7, 8, 9, A Venn Diagram has three main categories. How many total groups can be formed from the three main categories? A. 5 B. 6 C. 7 D. 8 MGSE912.S.CP.2 Find A B A. Amy, Gabe, Abi B. Brent, Juan, Tobi C. Joe, Mike, Linda, Rose D. Rya, Amy, Sarah 5. A model has 15 different shirts, 8 different hats, and 10 different pairs of pants to choose from. How many different outfits of 1 shirt, 1 hat, and 1 pair of pants are possible? A. 33 B. 99 C. 400 D. 1200
2 6. A café offers a daily sandwich special that allows customers to choose 1 from each of the following. 5 different types of bread 4 different types of meat 2 different types of cheese 3 different types of topping The manager of the café is considering adding 1 more topping. How many MORE sandwiches are possible if another topping is offered? A. 120 B. 160 C. 40 D Which situation describes INDEPENDENT events? A. A die is rolled, then it is rolled a second time. B. One card is chosen from a standard deck, it is set aside, then a second card is drawn. C. Tom chooses a letter of the alphabet, then Beth must choose a different letter from the alphabet. D. One student is chosen from Classroom A, then that student chooses one of his friends from Classroom A. 9. How many outcomes are there for the tree diagram below? 7. Which situation describes DEPENDENT events? A. A die is rolled, the outcome is recorded, then a coin is tossed. B. A die is rolled, the outcome is recorded, then the same die is rolled again. C. A spinner is spun once, the outcome is recorded, then it is spun again. D. A card is drawn from a deck, then a second card is drawn from the same deck. A. 2 B. 4 C. 8 D. 16
3 MGSE912.S.CP Kevin is trying to find a white sock in his drawer. He has 16 white socks, 4 brown socks, and 6 black socks. What is the probability that he pull out either a black or brown sock, puts it back, and then pulls out a white sock? MGSE912.S.CP.4 Use the two way frequency table to answer the following questions. Answers must be written in fraction, decimal, and percent. A. 9/13 B. 20/13 C. 40/169 D. 96/ If a die is rolled twice, what is the probability of rolling a 5 and then a 2? A. 1/36 B. 1/3 C. 1/6 D. 2/ Mary Katherine has a bag of 3 red apples, 5 yellow apples and 4 green apples. Mary takes a red apple out of the bag and does not replace it. What is the probability that the next apple she takes out is yellow? A. 5/44 B. 4/11 C. 5/12 D. 5/ What is the probability of selecting a student who plays team sports A B C D What is the relative frequency of a students selected does not play an instrument? A. 9/20 B. 5/20 C. 10/20 D. 7/ What is the difference between students who doe not play team sports and a those who do not play any instruments? A. 4/10 B. 1/20 C. 1/20 D. 1/20
4 MGSE912.S.CP If the probability that it rains tomorrow is 35%, what is the probability that it does NOT rain? A B C D The probability that a spinner lands on red is 4/5. What is the probability of the spinner NOT landing on red? A. 4/5 B. 2/5 C. 3/5 D. 1/5 MGSE912.S.CP The probability that it will rain tomorrow in Georgia is 30%. The probability that it will rain tomorrow in both Georgia and Alaska is 12%. If it rains tomorrow in Georgia, what is the probability that it will rain tomorrow in Alaska? A) 12% B) 18% C) 32% D) 40% 19. Assume that the following events are independent: The probability that a high school senior will go to college is The probability that a high school senior will go to college and live on campus is What is the probability that a high school senior will live on campus, given that the person will go to college? A B C D A random survey was conducted about gender and hair color. This table records the data. What is the probability that a randomly selected person has blonde hair, given that the person selected is male? A B C D. 0.63
5 21. Students responding to a poll were asked whether they were for or against a proposal to change the school mascot. 23. Consider the given Venn diagram. What is the probability that a randomly selected student at the school would be for the proposal given that the student was a girl? A. 18% B. 33% C. 40% D. 54% 22. A random survey was conducted to gather information about age and employment status. This table shows the data that were collected. What is A. ¼ B. 5/8 C. 2/3 D. 6/7 What is the probability that a randomly selected person surveyed has a job, given that the person is less than 18 years old? A. 8% B. 25% C. 36% D. 42%
6 MGSE912.S.CP This spinner is divided into 12 congruent sections numbered 1 through A high school crosscountry team consists of 6 freshmen, 5 sophomores, 4 juniors, and 5 seniors. The coach randomly chooses one of the runners to hand out race numbers. What is the probability that the chosen runner is a junior or senior? A) A student will spin the arrow on the spinner one time. What is the probability that the arrow will stop on a number that is a multiple of 3 or 4? A) B) B) C) D) 26. A group of students participated in snow activities over winter break. The table shows the numbers of girls and boys and which type of snow activities they participated in. C) D) What is the value of A) 35% B) 41% C) 85% D) 90%
7 27. The total number of fulltime and parttime employees at a store is 50. Each employee works either the morning shift or the afternoon shift. More information about the employees is given below. 28. Tenthgrade student will have to sign up for a health elective. A survey of a group of tenthgrade student asked which elective they would most like to take. 15 employees are parttime 28 employees are males 30 employees work the morning shift 6 male employees work parttime 12 male employees work the morning shift The names of each of the 50 employees are written on separate cards. The cards are shuffled and placed into a container. If one card is selected at random from all 50 cards in the container, what is the probability that the employee is parttime or male? Show your work and explain your answer. A. 65% B. 74% C. 82% D. 89% MGSE912.S.CP Which of the following events are independent given P(A), P(B), and P(A and B)? A. P(A) = 0.25; P(B) = 0.25; P(A and B) = 0.5 B. P(A) = 0.3; P(B) = 0.15; P(A and B) = C..P(A) = 0.08; P(B) = 0.4; P(A and B) = 0.12 D. P(A) = 0.16; P(B) = 0.24; P(A and B) = 0.32
8 MGSE912.S.CP Eight tiles are in a bag shown. Jack will reach into the bag and select a tile without looking. What is the probability that he selected a tile with an N on it? MGSE912.S.CP Hank is deciding what type of vehicle he is going to purchase. He has narrowed his preferences down to 2 vehicle types, 2 colors, and 2 types of interior. According to the tree diagram how many combinations exist? 31. A bag contains tiles that each have a letter on them. The letters spell the word ELEPHANT. A tile is chosen at random. What is the probability that the tile chosen has a vowel on it? A) B) C) A. 6 B. 7 C. 8 D Mark flips a coin twice. How many outcomes are in the sample space? A. 1 B. 2 C. 3 D. 4 D)
9 MGSE912.S.CP Jim spins a spinner with colors red, blue, yellow, purple, green, and orange. Jim also flips a coin. What is the probability that Jim spins a primary color (red, blue, yellow) and flips a head? 36. Fiona interviewed her 30 classmates on whether or not they had a sibling and if they have assigned chores at home. She displayed her results in the twoway table shown. Which category had the highest relative frequency? A. ½ B. 1/3 C. ¼ D. 1/6 35. There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick two marbles out of the bag without replacing the first one. What is the probability of Jamie picking a white marble and then a blue marble? A. 1/15 B. 21/100 A. Have Chores B. Do Not Have Chores C. Have a Sibling D. Only Child MGSE912.S.CP A school baseball team has 65 players. What is the probability that a randomly chosen player is a junior or a righthanded batter? C. 7/15 D. 7/30 MGSE912.S.CP.4 A. 11/65 B. 14/65 C. 16/65 D. 51/65
10 38. Using the information from problem 37, what is the probability of selecting a freshman or lefthanded batters? 40. A school baseball team has 65 players. What is the probability that a randomly chosen player is a junior given that a righthanded batter was selected? A B C D MGSE912.S.CP.6 A. 24% B. 29% C. 33% D. 45% 39. Suppose 67% of all teenagers own a laptop and 29% of all teenagers own a laptop and a tablet. What is the probability that a teenager owns a tablet given that the teenager owns a laptop? A. 29% B. 36% C. 43% D. 19%
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