If there are 3 children in a family, find the probability that there is one girl in the family.

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26 Jul 2013 Probability

If there are 3 children in a family, find the probability that there is one girl in the family.

OPtion

1) 1/3
2) 1/8
3) 2/3
4) 2/7
5) 3/8
6) 3/7
7) 2/5
8) 3/4
9) 1/7
10) None of these

Solution

Let us denote a boy by b and girl by g.
Then same space = (bbb,bbg,bgb,gbb,gbg,ggb,bgg,ggg)=8
Total number of possible outcomes = 8
Total number of favorable outcomes =3(bbg,bgb,gbb)
p(a girl) = 3/8

Correct Option: 5 Best Solution (5)