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A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at least one girl? 0.5 0.125 0.75 0.875

Question

A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at least one girl? 0.5 0.125 0.75 0.875

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Solution

To solve this problem, we first need to understand that there are 2^3 = 8 possible outcomes when a family has 3 children. These outcomes are BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG.

The probability of each of these outcomes is (1/2)^3 = 1/8 because the

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