In a family there are 5 children two children are selected at random if they are found to be girls find the probability that the family has 3 girls and 2 boys.

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Solution

two children are selected at random if they are found to be girls,then ti is sure that there are 2 girls in 5 members of family
From remaining 3 members probabilty of 1girl and 2boy =selection 1 G(girl) and 2B(Boy) out of all combinations of 3 person =1/4

Possible combinations GGG,GBB,GGB,BBB ->only GBB is valid

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