A woman has two children, and at least one of the woman's children is a boy.

We can say that there is 'a' woman. We can say that the above statement was written about 'the' woman.

Or: Something else happened.

When the above statement was written about the woman, it easily follows that her chances for two boys is 1/2.

When something else happened? Then, the above statement needs changing. This, of course, changes the question.

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