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. A husband and wife have a 2/3 probability of passing on brown eyes to their...

. A husband and wife have a 2/3 probability of passing on brown eyes to their children. If they have three children, what is the probability that the children will all have brown eyes?

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Answer #1

X ~ Bin ( n, p)

Where n = 3 , p = 2/3

Binomial probability distribution is

P(X) = nCx * px *( 1 - p)n-x

P(X = 3) = 3C3 * ( 2/3)3 * (1 - 2/3)0

= 0.2963

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