There is a P = 1/8 probability that there will be at three girls in the family of three children which is correct answer(A).
The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
There are total outcomes of possibility = { (G,G,G), (G,G,B), (G,B,B), (B,B,B), (B,B,G), (B,G,G), (B,G,B), (G,B,G) } = 8
The favorable outcomes = (G,G,G) = 1 combinations where at all three of the children are girls.
Total number of outcomes of possibility = 8
The number of favorable outcomes (G,G,G) = 1
The required probability P (G,G,G) = favorable outcomes/ total outcomes
The required probability P (G,G,G) = 1/8
So, there is a P = 1/8 probability that there will be at three girls in the family of three children.
Hence, there is a P = 1/8 probability that there will be at three girls in the family of three children.
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