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A young couple decides to keep having children until they have a girl. Assuming a boy...

A young couple decides to keep having children until they have a girl. Assuming a boy or a girl are equi-probable possibilities in the birth of every child and the gender of every child is independent of the previous, what would be the expected number of children the couple would have when the first girl is born? What is the probability that the fourth child would be the first girl?
Math   Statistics-And-Probability   
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