Solution
To solve this problem, let's consider all the possible combinations of children:
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Boy - Boy
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Boy - Girl
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Girl - Boy
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Girl - Girl
Since we know that at least one child is a boy, we can eliminate option 4 (Girl - Girl). Now we're left with three possibilities:
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Boy - Boy
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Boy - Girl
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Girl - Boy
Among these three possibilities, only one has both children being boys (Boy - Boy). Therefore, the probability that the other child is also a boy, given that at least one child is a boy, is 1/3.