Question

To the right are the outcomes that are possible when a couple has three children. Assume that boys and girls are equally​ likely, so that the eight simple events are equally likely. Find the probability that when a couple has three​ children, there are exactly 2 boys.

Answer 1

the all possible outcomes when a couple has three children are:-

{bbb, bgb, bbg, bgg, gbb, ggb, gbg, ggg}

[ i am denoting girl by g and boy by b]

the probability that when a couple has three​ children, there are exactly 2 boys be:-

[ the desired outcomes are = { bbg,bgb,gbb}]

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