11.1 Empirical and Theoretical Probabilities 669 If you can eliminate two of the five choices and randomly select one of the remaining choices, what is the probability that you select c) the correct choice? 1 3 d) an incorrect choice? 2 3 24. Ball Choice A bag has 3 red, 2 green, and 4 orange balls. If a ball is randomly selected from the bag, what is the theoretical probability that it is a) green? 2 9 b) not green? 7 9 c) orange? 4 9 d) not orange? 5 9 Drawing a Card In Exercises 25–34, one card is drawn from a standard 52-card deck. Determine the probability that the card selected is 25. a club. 1 4 26. a queen. 1 13 27. not a club. 3 4 28. not a queen. 12 13 29. a face card. 3 13 30. not a face card. 10 13 31. a heart and a jack. 1 52 32. a queen and a club. 1 52 33. a red card and a king. 1 26 34. a jack and a black card. 1 26 Spin the Spinner In Exercises 35–38, assume that the spinner cannot land on a line. Determine the probability that the spinner lands on (a) red, (b) green, (c) yellow, (d) not yellow. 35. * 36. * 37. * 38. * Klondike Bars In Exercises 39– 44, a cooler contains 100 Klondike ice-cream bars. There are 40 Vanilla bars, 20 Mint Chocolate Chip bars, 30 Krunch bars, and 10 Rocky Road bars. If one bar is randomly selected determine the probability that the bar selected is 39. a Mint Chocolate Chip bar. 1 5 40. not a Mint Chocolate Chip bar. 4 5 41. a Rocky Road bar. 1 10 42. not a Rocky Road bar. 9 10 43. a Vanilla, Mint Chocolate Chip, or Krunch bar. 9 10 44. a Vanilla, Krunch, or Rocky Road bar. 4 5 Wheel of Fortune In Exercises 45–50, use the small replica of the Wheel of Fortune. $300 Lose a turn $100 $600 Surprise $400 Bankrupt $1000 $200 $700 $2500 $500 If the wheel is spun, determine the probability that the indicated sector will stop under the pointer. 45. $2500 1 12 46. A number greater than $500 1 3 47. Lose a Turn or Bankrupt 1 6 48. Not Bankrupt 11 12 49. A number less than $3000 3 4 50. Surprise, Lose a Turn, or Bankrupt 1 4 MISSISSIPPI In Exercises 51–56, each individual letter of the word MISSISSIPPI is placed on a piece of paper and all 11 pieces of paper are placed in a hat. If one letter is randomly selected from the hat, determine the probability that 51. the letter S is selected. 4 11 52. the letter S is not selected. 7 11 53. a consonant is selected. 7 11 54. the letter S or P is selected. 6 11 55. the letter W is selected. 0 56. the letter V is not selected. 1 Soda In Exercises 57– 62, a cooler contains 66 cans of soda. There are 24 cans of Coca-Cola, 12 cans of Diet Coke, 9 cans of Dr Pepper, 15 cans of Mountain Dew, and 6 cans of Diet Pepsi. If one can of soda is randomly selected, determine the probability that the can is *See Instructor Answer Appendix Ivan Serebryannikov/ Shutterstock
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