A family has n children, n 2. We ask the father: Do you have at least

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A family has n children, n ≥ 2. We ask the father: "Do you have at least one daughter?" He responds "Yes!" Given this extra information, what is the probability that all n children are girls? In other words, what is the probability that all of their children are girls, given that at least one of them is a girl?

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