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Question
assuming boys and girls are equally likely, find the probability of a couple having a baby boy when their sixth child is born, given that the first five children were all boys. the probability is (type an integer or a simplified fraction.)
Step1: Recall probability concept
Each birth is an independent event.
Step2: Determine probability
Since boys and girls are equally - likely, the probability of having a boy in any single birth is $\frac{1}{2}$. The fact that the first five children are boys does not affect the probability of the sixth - child's gender.
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$\frac{1}{2}$