11.2 Odds 677 Spin the Spinner In Exercises 21–24, assume that the spinner cannot land on a line. Determine the odds against the spinner landing on the color red. 21. 1 : 1 22. 2 : 1 23. 5 : 3 24. 5 : 3 Billiard Balls In Exercises 25–30, use the rack of 15 billiard balls shown. 8 1 2 4 5 6 7 3 15 14 13 12 11 10 9 25. If one ball is randomly selected, determine the odds against it containing a stripe. (Balls numbered 9 through 15 contain stripes.) 8 : 7 26. If one ball is randomly selected, determine the odds in favor of it being a ball other than the 8 ball. 14 : 1 27. If one ball is randomly selected, determine the odds in favor of it being an even-numbered ball. 7 : 8 28. If one ball is randomly selected, determine the odds against it containing any red coloring (solid or striped). 13 : 2 29. If one ball is randomly selected, determine the odds against it containing a number greater than or equal to 9. 8 : 7 30. If one ball is randomly selected, determine the odds in favor of it containing two digits. 2 : 3 Playing Bingo In Exercises 31–36, refer to the following information. When playing bingo, 75 balls are placed in a bin and balls are randomly selected. Each ball is marked with a letter and number as indicated in the following chart. − − − − − B 1 15 I 16 30 N 31 45 G 46 60 O 61 75 B I N G O 1 2 3 4 5 6 7 8 9 101112131415 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 61 62 63 47 48 49 50 51 52 53 54 55 56 57 58 59 60 64 65 66 67 68 69 70 71 72 73 74 75 For example, there are balls marked B1, B2, up to B15; I16, I17, up to I30; and so on. Assuming one bingo ball is randomly selected, determine 31. the probability that it contains the letter B. 1 5 32. the probability that it does not contain the letter B. 4 5 33. the odds in favor of it containing the letter B. 1 : 4 34. the odds against it containing the letter B. 4 : 1 35. the odds against it being G50. 74 : 1 36. the odds in favor of it being G50. 1 : 74 Blood Types in the United States In Exercises 37– 42, the following circle graph, which was created using StatCrunch with data from the website WorldAtlas.com, shows the percentages of Americans with the various blood types. Blood Types of Americans B2, 2% AB1, 3% AB2, 1% O1, 38% O2, 7% A1, 34% A2, 6% B1, 9% Source: WorldAtlas.com If one American is randomly selected, determine 37. the probability that the person has blood type +A . 0.34 38. the probability that the person has blood type +B . 0.09 39. the odds against the person having blood type +A . 33 : 17 40. the odds in favor of the person having blood type +B . 9 : 91 41. the odds in favor of a person having blood type − − − − A ,B ,AB ,orO . 4 : 21 42. The odds against a person having blood type + + + + A ,B ,AB ,orO . 4 : 21 43. Rock Concert The odds against a rock concert selling out are 2 : 9. Determine the probability the concert a) sells out. 9 11 b) does not sell out. 2 11
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