It is known that a certain family has two children, at least one of whom is a boy. What is the probability that there is a girl child in that family?
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The set of all possible pairs:
{BB, BG, GB}
The probability that there is a girl int he family: 2/3.
{BB, BG, GB}
The probability that there is a girl int he family: 2/3.
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{Boy, Girl}
{Girl, Boy}
So, probability is 2/3