SOLUTION: Find the probability that when a couple has four ​children, at least one of them is a boy. ​(Assume that boys and girls are equally​ likely.)

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Question 1146042:
Find the probability that when a couple has four ​children, at least one of them is a boy. ​(Assume that boys and girls are equally​ likely.)

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The opposite ("complement") of "at least one a boy" is "none are boys", so

P(at least one a boy) =
1 - P(none are boys) =
1-(1/2)(1/2)(1/2)(1/2) = 1-1/16 = 15/16