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Assume that each child born is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that i. the youngest is a girl, ii. at least one is a girl?

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To solve the problem, we need to find the conditional probabilities in two different scenarios. Let's break it down step by step. ### Step 1: Define the Sample Space When a family has two children, the possible combinations of genders can be represented as: - Boy, Boy (BB) - Boy, Girl (BG) - Girl, Boy (GB) - Girl, Girl (GG) ...
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