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The answer depends on whether the children are picked at random. If they were selected from inside a girls' school the probability should be quite close to 0. Likewise, if the children were picked inside a boys' school.

If six children are picked at random from a large group of children with an equal number of boys and girls, then the answer is

6C2*(1/2)6 = 15/32 = 0.47, approx.

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Q: What is the probability of having exactly 2 boys out of 6 children?
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