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In: Statistics and Probability

A family has four children, of age 3, 6, and 16 and 16 . Let’s assume...

A family has four children, of age 3, 6, and 16 and 16 . Let’s assume that the probability of giving birth to a boy is the same as the probability of giving birth to a girl. Determine the following probabilities:

(a) that all 4 children are girls

(b) that at least two of the children are boys

(c) that the oldest child is a girl

(d) that only three children are of the same gender

(e) Given that you know that at least one child is a girl, what is the probability that the other three children are boys? TIP: This is a conditional probability question, where we are asking for P(BBB|G), where B and G stand for boy and girl, respectively.

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