Name: ________________________ Class: ___________________ Date: __________ ID: A Unit 2 Posttest Study Guide ____ 1. Sarah rolled a number cube 30 times and recorded the results. She found that she rolled an even number 16 16 times. What does represent? 30 a. b. c. d. ____ theoretical probability sample space experiment experimental probability 2. Carey has a bag of marbles. There are 4 red marbles, 5 blue marbles, and 1 green marble. She conducted an experiment in which she pulled out one marble and recorded the color and then returned it to the bag 50 times. Her results are shown in the table. Result Tally Total Red 22 Blue 24 Green 4 What is the difference between the theoretical probability and the experimental probability of picking a green marble? a. b. c. d. 1 50 1 10 2 25 1 1 Name: ________________________ ____ ID: A 3. Dean has a spinner that is divided into 4 equal sections. The sections are labeled 1, 2, 3, and 4. Dean spun the spinner 60 times. He recorded the results in the table below. Result Tally Total 1 12 2 17 3 15 4 16 What is the experimental probability of spinning a 2? a. b. c. d. ____ 4. What is another way to describe an event with a probability of 0? a. b. c. d. ____ 17 43 17 60 1 4 17 certain unlikely equally likely impossible 5. What is the probability of rolling a number less than 2 on a number cube? a. b. c. d. 1 6 1 5 1 4 1 2 2 Name: ________________________ ____ 6. What is the greatest possible probability in any experiment? a. b. c. d. ____ 3 times 4 times 6 times 12 times 8. A fair 6-sided cube has a different color on each side–red, blue, green, orange, purple, and yellow. Evan rolls the cube 3 times. What is the probability that he will roll purple all 3 times? a. b. c. d. ____ 9 10 1 10 100 7. Breanna is conducting an experiment with a number cube. She rolled the cube 24 times. How many times could she expect the cube to land on 6? a. b. c. d. ____ ID: A 1 6 1 27 1 216 1 729 9. A cafe offers 4 different sandwiches on its lunch menu. Each day, Sherise randomly chooses a sandwich. Which calculation shows the number of possible orders of sandwiches that she can choose during a 3-day period? a. b. c. d. 43 432 444 4433 ____ 10. You are playing a game of Scrabble and have the 5 A tiles, 3 E tiles, 1 Z tile, 2 M tiles, 3 L tiles, and 1 Y tile to choose from. What is the probability that you choose E or Y on your next draw? 1 3 a. c. 5 225 1 4 b. d. 3 15 3 Name: ________________________ ID: A ____ 11. You are playing a game of Scrabble and have the 5 A tiles, 3 E tiles, 1 Z tile, 2 M tiles, 3 L tiles, and 1 Y tile to choose from. What is the probability that you choose M or L on your next draw? 2 1 a. c. 75 5 3 1 b. d. 10 3 ____ 12. A bag contains seven red marbles andeight blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red. 2 4 0.267 a. Independent; 0.222 c. Dependent; 9 15 1 1 0.02 b. Independent; d. Dependent; 0.2 49 5 ____ 13. There are eleven shirts in your closet, four blue and seven green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear blue shirts on both days. 1 6 0.063 0.109 a. Independent; c. Dependent; 16 55 2 20 0.182 0.247 b. Dependent; d. Independent; 11 81 ____ 14. A cooler contains eleven bottles of sports drink: three lemon-lime flavored, five orange flavored, and three fruit-punch fllavored. You randomly grab a bottle. It is a lemon lime or an orange. 8 1 0.727 a. Mutually Exclusive; c. Mutually Inclusive; 0.25 11 4 2 1 b. Mutually Exclusive; 0.4 d. Mutually Inclusive; 0.333 5 3 ____ 15. A basket contains six apples and four peaches. Two of the apples and three of the peaches are rotten. You randomly pick a piece of fruit. It is freash or is an apple. 8 5 0.615 a. Not mutually exclusive; c. Mutually exclusive; 0.714 13 7 7 7 0.7 0.636 b. Not mutually exclusive; d. Not mutually exclusive; 10 11 ____ 16. A bag contains 3 red marbles and 2 blue marbles. With replacement, what is the probabilty of drawing a red marble on the first and drawing a red marble on the second draw. a. 10% c. 36% b. 20% d. 46% 4
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