SOLUTION: 1. Calculate the probability of the following Assuming a probability of 0.5 that any child born will be a boy, the probability of any family of five children having no girls

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Question 847209: 1. Calculate the probability of the following

Assuming a probability of 0.5 that any child born will be a boy, the probability of any family of five children having no girls




Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
We can assume that the event of having a boy has no impact on the next child being a boy or girl. (you can almost think of it as flipping a coin: heads is boy, tails is girl. Me getting heads last time doesn't make it any more likely the next flip). The term we use for this is independent.
P[no girl] = P[boy] = 0.5
P[5 boys] = P[boy]^5 = 0.5^5 = 0.0313