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If birth to a male child and birth to a female child. are equal probable, then what is the probability that atleast one of the three children born to a couple is male ?

a
47
b
78
c
87
d
12

detailed solution

Correct option is B

S = {BBB, BBG, BGB,GBB,GGB,GBG, BGG,GGG}and E = {BBB, BBG, BGB, GBB, GGB, GBG, BGG}n(E)=7and n(S)=8∴ P(E)=n(E)n(S)=78

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