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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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a
37
b
27
c
17
d
57

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detailed solution

Correct option is A

S={(GGG,GGB,GBG,BGG,BBB,BBG,BGB,GBB)} A=(BBG,BGB,GBB)B=(GGB.GBG.BGG,BBB.BBG,BGB.GBB)P(AB)=  P(A∩B)P(B)=Exactly  two  boysatleast  one  boy=37


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