Assume that boys and girls are equally likely. Find the probability that when a couple has...

Assume that boys and girls are equally likely. Find the probability that when a couple has three children, there is exactly one girl.

Expert Solution

Solution: By using information: Binomal distribution
p = 0.5, n = 3

P(X = 1) = 3C1*0.5^1*0.2^2 = 0.3750

Binomal distribution formula : P(X = r) = nCr*p^r*q^(n-r)

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2 method :

Solution:

8 possible sequences, each equally likely:

BBB
BBG
BGB
BGG
GBB
GBG
GGB
GGG

=> exactly one girl = 3/8 = 0.375

orchestra answered 2 years ago

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