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There are several reasons that the question cannot have a proper answer. The first is that children's gender are not independent events. It is, therefore, wrong to multiply probabilities. Second, the probability of a girl is not 1/2. Current statistics show that it is approx 0.48.

However, if you wish to ignore these relevant facts, the [incorrect] answer that is expected is 1/4.

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Q: Probability that both children are girls if there is 2 children?
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