1. A spinner numbered 1 through 10 is spun 100 times. The results of the experiment are shown in the table below. What is the experimental probability of spinning an 8? A. B. C. D. Hint 2. Two coins are tossed and a number cube is rolled. How many outcomes are possible? A. 18 B. 12 C. 10 D. 24 Hint 3. Students at Midtown Middle School can choose their schedule from 3 math courses, 3 science courses, 2 social studies courses, and 2 art courses. Determine the number of possible schedules that include one course in each subject area. A. 36 B. 20 C. 10 D. 18 Hint 4. A minor-league baseball team had three players tryout for each of the nine positions. How many ways could the team be formed? A. 19,683 B. 729 C. 27 D. 6561 Hint 5. Two number cubes are rolled twice. What is the probability of rolling doubles on the first roll and then rolling a sum of 5 on the second roll? A. B. C. D. Hint 6. Find the number of ways a family of 4 can stand next to each other for a photograph. A. 10 B. 24 C. 120 D. 76 Hint 7. An art gallery has 10 paintings to display. Six of the paintings are to be used for a new exhibit. Is this situation a permutation or combination? How many choices of paintings are possible? A. permutation; 151,200 B. combination; 210 C. combination; 151,200 D. permutation; 210 Hint 8. An ordinary six-sided die is rolled. What is the probability that a number greater than four is rolled? A. B. C. D. Hint 9. Determining the probability of rolling a '4' or '5' on a number cube by examining the number of possible outcomes and the number of ways to roll a '4' or a '5' is an example of ___________. A. sample probability B. experimental probability C. theoretical probability D. outcome probability Hint 10. A friend of yours has 26 slips of paper, one with each letter of the alphabet on it. You randomly select six of them, not replacing any. What is the probability that all six letters that you choose are consonants ('y' is a consonant, not a vowel)? A. B. C. D. Hint 11. Eight ______ is the product of all the counting numbers beginning with eight and counting backward to one. A. permutation B. outcome C. factorial D. compound event Hint 12. Two number cubes are rolled. What is the probability that the sum of the two number cubes is less than 9? A. B. C. D. Hint 13. Choose the situation that could not represent the tree diagram below. A. A penny, nickel, and dime were tossed at the same time. B. One nickel was tossed, then one quarter was tossed. C. One dime was tossed twice one after the other. D. Two pennies were tossed at the same time. Hint 14. Which situation is a permutation? A. The number of ways 8 students can finish first, second, or third place at the Math Olympiad. B. The number of ways you can choose 3 hot dog toppings from a total of 5. C. The number of games it would take to start 5 different basketball players from a team of 10. D. The number of ways each person can shake hands with the other 11 people in the room. Hint