1. A sporting goods store sells ball caps in four sizes: S, M, L, and XL. Each hat is available in 5 colors and can be purchased with or without a logo. Find the number of combinations available. A. 40 B. 20 C. 10 D. 11 Hint 2. A cooler contains 5 cans of each flavor of soft drink: cola, lemon-lime, grape, and root beer. Find the probability of one person randomly picking a cola, then another person randomly selecting root beer. A. B. C. D. Hint 3. Compute 6! A. 21 B. 720 C. 6 D. 5040 Hint 4. How many ways can 3 CDs be selected from a stack of 7 different CDs? A. 6 B. 245 C. 35 D. 5040 Hint 5. Andy has made his own new die. It has fourteen sides, which he has labeled with the numbers 1 through 14. He rolls his die. What is the probability that he rolls a composite number? A. B. C. D. Hint 6. 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. outcome probability B. sample probability C. experimental probability D. theoretical probability Hint 7. Two number cubes are rolled, then a spinner with 4 different colors on it is spun twice, then two coins are flipped. How many total possible outcomes are there? A. 46,656 B. 24 C. 4096 D. 2,304 Hint 8. In one popular game, five number cubes are rolled at the same time. If the number cubes are kept separate, what is the total possible number of outcomes? A. 30 B. 360 C. 15,625 D. 7,776 Hint 9. 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 10. A baseball team has 15 players, but there are only 9 positions. How many different choices are there for how to put 9 players on the field? A. 1,307,674,368,000 B. 120 C. 1,816,214,400 D. 99 Hint 11. If you have 10 CDs, and you want to take three of them with you on a road trip, how many different possibilities are there for which three you bring? A. 604,800 B. 10 C. 3 D. 120 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. Suppose you toss three quarters. What is the probability that exactly two of the coins will show tails? A. B. C. D. Hint 14. In a survey, 100 students were asked to name their favorite season of the year. The results are shown in the table. Suppose 650 students are in the seventh grade. How many can be expected to choose fall as their favorite season? A. 120 B. 78 C. 90 D. 84 Hint