SOLUTION: A couple has three children. Find each probability A. All boys B. All girls or all boys C. Exactly two boys or two girls D. At least one child of each gender

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Question 266350: A couple has three children. Find each probability
A. All boys
B. All girls or all boys
C. Exactly two boys or two girls
D. At least one child of each gender
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A couple has three children. Find each probability
A. P(All boys) = (1/2)^3 = 1/8
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B. P(All girls or all boys) = 1/8 + 1/8 = 1/4
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C. P(Exactly two boys or two girls) = 2*3C2(1/2)^2*(1/2) = 2*3*(1/8) = 3/4
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D. P(At least one child of each gender) = 1 -P(all girls or all boys)
= 1 - 1/4 = 3/4
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Cheers,
Stan H.