SOLUTION: in a family of 3 children, find the probability that all the children will be girls if it is known that at least one of the children is a girl

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Question 963322: in a family of 3 children, find the probability that all the children will be girls if it is known that at least one of the children is a girl
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If you know one of the children is a girl, then the potential other outcomes for children is,
BB
BG
GB
GG
So then,
P%28GGG%29=1%2F4
.
.
.
or by using conditional probability,
P(B|A)=P(A_and_B)/P(A)
P=%281%2F8%29%2F%281%2F2%29=1%2F4