742 CHAPTER 11 Probability selects 4 socks from the drawer, what is the probability that all 4 socks are white? 14 969 15. Candy Cassandra’s candy dish has 8 peppermint candies and 5 spearmint candies. If Cassandra randomly selects 3 candies, what is the probability that she selects 1 peppermint candy and 2 spearmint candies? 40 143 16. Motorcycle Club The Matadors motorcycle club has 15 members. Eleven members ride Harley-Davidson motorcycles, and 4 members ride Victory motorcycles. If 5 members of the club are randomly selected, what is the probability that 3 ride Harley-Davidson motorcycles and 2 ride Victory motorcycles? 30 91 Game Show In Exercises 17–20, a game show has 5 doors concealing prizes. There are new cars behind 2 doors and consolation prizes behind 3 doors. Ginny, the contestant, selects 2 doors. Determine the probability that Ginny selects 17. no cars. 3 10 18. both cars. 1 10 19. at least one car. 7 10 20. exactly one car. 3 5 Football Roster In Exercises 21–24, the Green Bay Packers roster consists of 26 players on offense, 24 players on defense, and 3 players on special teams. If 10 players are randomly selected, determine the probability (as decimal number rounded to four decimal places) that of the players selected, 21. 5 play offense and 5 play defense. 0.1434 22. 3 play offense and 7 play defense. 0.0461 23. 4 play offense, 4 play defense, and 2 play special teams. 0.0244 24. 8 play offense, 1 plays defense, and 1 plays special teams. 0.0058 Record Label In Exercises 25–28, Prime Blue Oak Records have auditioned 12 musical acts to record. The acts include 3 folk acts, 4 country acts, and 5 rap acts. If Prime Blue Oak Records randomly selects 4 acts, determine the probability that the 4 acts will be as follows: 25. 2 folk acts and 2 rap acts. 2 33 26. 1 country act and 3 rap acts. 8 99 27. 2 folk acts, 1 country act, and 1 rap act. 4 33 28. at least one folk act. 41 55 5. Kindergarten Mrs. Lopez’s kindergarten class has 15 students, of whom 8 are from Manatee County. If 5 students are randomly selected, determine the probability that all 5 are from Manatee County. C C 8 5 15 5 6. Movie Attendance Of 80 people attending a movie, 38 have a college degree. If 5 people at the movie are randomly selected, determine the probability that each of the 5 has a college degree. C C 38 5 80 5 7. College Orientation Of 120 students attending a college orientation, 97 had completed the mathematics placement test. If 5 students at the orientation are randomly selected, determine the probability that all 5 had not completed the mathematics placement test. C C 23 5 120 5 8. October Birthdays A class of 16 people contains 4 people whose birthdays are in October. If 3 people from the class are randomly selected, determine the probability that none of those selected has an October birthday. C C 12 3 16 3 Problem Solving In Exercises 9–18, the problems are to be done without replacement. Use combinations to determine probabilities. 9. Pool Balls The pool game of 8-ball is played with 15 object balls. Eight balls have solid colors, called solids, and seven balls have color stripes, called stripes (see photo). If John randomly selects 3 balls, what is the probability that he selects 3 solids? 8 65 10. Green and Red Balls A bag contains four red balls and five green balls. You randomly select three balls. Determine the probability of selecting three green balls. 5 42 11. Loose Change Ashton’s car console has 6 nickels and 8 quarters. Ashton randomly selects 5 coins to pay a toll. Assume all coins are equally likely to be selected. What is the probability that Ashton selects 5 quarters? 4 143 12. Bills Duc’s wallet contains 8 bills of the following denominations: four $5 bills, two $10 bills, one $20 bill, and one $50 bill. If Duc randomly selects two bills, determine the probability that he selects two $5 bills. 3 14 13. Lottery Selection A lottery involves randomly selecting 3 digits from 0–9, inclusively, without replacement. What is the probability that all 3 digits selected are greater than 5. 1 30 14. Sock Drawer Mateo’s sock drawer has 12 black socks and 8 white socks all mixed together. If Mateo randomly Gencho Petkov/Shutterstock Pressmaster/Shutterstock
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