A father has 3 children with at least on...

A father has 3 children with at least one boy. The probability that he has 2 boys and 1 girl is a. `1//4` b. `1//3` c. `2//3` d. none of these

`1//4`

`1//3`

`2//3`

None of these

Text Solution

Verified by Experts

The correct Answer is:

Consider the following events:
A: Father has at least one boy
B: Father has 2 boys and one girl
Then,
A= one boy and 2 girls, 2 boys and one girl, 3 boys and no girl `AnnB=2` boys and one girl
Now, the required probability is
`=P(A//B)=(P(AnnB))/(P(A))=1/3`

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