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A father has 3 children with at least one boy. The probability that he has 2 boys and 1 girl is

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a
1/4
b
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c
2/3
d
None of these

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detailed solution

Correct option is B

Consider the following events:A: Father has at least one boy.B: Father has 2 boys and one girlThen,A = one boy and2 girls, 2 boys and one girl, 3 boys and no girlA∩B = 2 boys and one girlNow, the required probability is=P(A/B)=P(A∩B)P(A)=13


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A couple has 3 children and it is known that atleast one of them is a boy. Then the probability that the couple will have exactly two boys is


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