11.5 Or and And Problems 709 Two cards are randomly selected from this deck. Determine the probability of the following a) with replacement. b) without replacement. 29. They both show birds. a) 1 16 b) 1 19 30. They both show the number 3. a) 1 25 b) 3 95 31. The first shows a bird, and the second shows a monkey. a) 1 16 b) 5 76 32. The first shows a 2, and the second shows a 4. a) 1 25 b) 4 95 33. The first shows a yellow bird, and the second shows a lion. a) 1 40 b) 1 38 34. The first shows a red bird and the second shows a frog. a) 3 80 b) 3 76 35. Neither shows an even number. a) 9 25 b) 33 95 36. At least one of the cards shows an even number a) 16 25 b) 62 95 Select One Card In Exercises 37– 40, use the deck of cards given in Exercises 29–36. If one card is selected, determine the probability that the card shows 37. a lion or an even number. 11 20 38. a yellow bird or a number less than 3. 9 20 39. a lion or a 3. 2 5 40. a red bird or an even number. 1 2 Two Spins If the pointer in Fig. 11.15 is spun twice, determine the probability that the pointer lands on 41. green and then red. 1 8 42. red on both spins. 1 16 Figure 11.15 Two Spins If the pointer in Fig. 11.16 is spun twice, determine the probability that the pointer lands on 43. red on both spins. 9 64 44. a color other than green on both spins. 9 16 Figure 11.16 Two Spins In Exercises 45– 48, assume that the pointer in Fig. 11.15 is spun and then the pointer in Fig. 11.16 is spun. Determine the probability of the pointers landing on 45. red on both spins. 3 32 46. yellow on the first spin and red on the second spin. 3 32 47. a color other than red on both spins. 15 32 48. yellow on the first spin and a color other than yellow on the second spin. 5 32 Selecting an Envelope In Exercises 49–58, consider the following envelopes. If one of the envelopes is randomly selected, determine the probability that 49. a yellow or a blue envelope is selected. 3 7 50. an envelope other than a red envelope is selected. 4 7 If two envelopes are randomly selected, with replacement, determine the probability that 51. neither are red envelopes. 16 49 52. both are red envelopes. 9 49 53. at least one envelope is a red envelope. 33 49 54. the first is a blue envelope and the second is a yellow envelope. 2 49 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Problem Solving Select Two Cards In Exercises 29–36, a board game uses the deck of 20 cards shown.
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