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EXAMPLE 3

You are playing the bingo card shown. The caller has 50 numbers left to call. What is the probability that you will get bingo with the next 2 numbers called?. EXAMPLE 3. Finding Probability of Dependent Events. Bingo. SOLUTION.

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EXAMPLE 3

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  1. You are playing the bingo card shown. The caller has 50 numbers left to call. What is the probability that you will get bingo with the next 2 numbers called? EXAMPLE 3 Finding Probability of Dependent Events Bingo SOLUTION You need B7and N44for bingo. Find the probability of success when each of the next 2 numbers is drawn. Then multiply.

  2. 2 1 = = 25 50 1 P(remaining number) = 49 1 1 P(both numbers)= 25 49 1 = 1225 ANSWER The probability that you will get bingo when the next 2 numbers are called is, or about 0.0008. 1225 EXAMPLE 3 Finding Probability of Dependent Events P(B7orN44) There are 50 numbers left to call. There are49 numbers left to call. Multiply the probabilities. 1

  3. ANSWER 1 1 1 P(both numbers)= or about0.2% = 18 35 630 for Example 3 GUIDED PRACTICE 4. What If? In Example 3, suppose 36 numbers are left to call. Find the probability.

  4. 1 1 1 = or about 0.1% 780 780 780 ANSWER for Example 3 GUIDED PRACTICE 5. Prizes You are randomly choosing 2 business cards from a dish with 40 cards, each from a different business, to win prizes. What is the probability you choose the cards for the dry cleaners and the hair salon?

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