EXAMPLE 3 Find odds A card is drawn from a standard deck of 52 cards. Find (a) the odds in favor of drawing a 10 and (b) the odds.

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Presentation transcript:

EXAMPLE 3 Find odds A card is drawn from a standard deck of 52 cards. Find (a) the odds in favor of drawing a 10 and (b) the odds against drawing a club. SOLUTION Odds in favor of drawing a 10 Number of non-tens = Number of tens = 4 48 = 1 12 , or 1:12

EXAMPLE 3 Find odds Odds against drawing a club Number of clubs = Number of non-clubs = 39 13 = 3 1 , or 3:1

EXAMPLE 4 Find an experimental probability Survey The bar graph shows how old adults in a survey would choose to be if they could choose any age. Find the experimental probability that a randomly selected adult would prefer to be at least 40 years old.

EXAMPLE 4 Find an experimental probability SOLUTION The total number of people surveyed is: 463 + 1085 + 879 + 551 + 300 + 238 = 3516 Of those surveyed, 551 + 300 + 238 = 1089 would prefer to be at least 40. 1089 3516 P(at least 40 years old) = 0.310

GUIDED PRACTICE for Examples 3 and 4 A card is randomly drawn from a standard deck. Find the indicated odds. In favor of drawing a heart SOLUTION Number of non-hearts = Number of hearts = 13 39 = 1 3 ANSWER 1 3

GUIDED PRACTICE for Examples 3 and 4 A card is randomly drawn from a standard deck. Find the indicated odds. Against drawing a queen SOLUTION Number of queens = Number of non-queens = 48 4 = 12 1 ANSWER 12 1

GUIDED PRACTICE for Examples 3 and 4 A card is randomly drawn from a standard deck. Find the indicated odds. What If? In Example 4, what is the experimental probability that an adult would prefer to be (a) at most 39 years old and (b) at least 30 years old? a. 463 + 1085 + 879 = 2427 b. 879 + 551 + 300 + 238 = 1968 2427 3516 1968 3516 = 0.69 = 0.56 ANSWER a. about 0.69 b. about 0.56