here are 8 possible combinations of birth order for families with 3 children (b = boy and g = girl): bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg. Assume all outcomes are equally likely. You select a three-child family at random. What is the probability that the family has at least two boys, given that not all the children are girls

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There are 8 possible combinations of birth order for families with 3 children (b = boy and g = girl): bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg. Assume all outcomes are equally likely. You select a three-child family at random. What is the probability that the family has at least two boys, given that not all the children are girls? 

 

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Step 1

Given,

Each possibility of three children are equally likely.

A family of 3 children 

To find,

The probability that the family has at least 2 boys, given that not all the children are girls.

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