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The O'Brien family has 4 kids, 3 boys and 1 girl. Suppose that for each birth, the probability of a boy birth is 1/2, and the probability of a girl birth is also 1/2. What is the fractional probability of having 3 boys and 1 girl, in any order, in a family's first 4 births?
It would be 1/4 because for the first child, the probability of it being a boy is 1/2, and for the second one, it would have 1/2 as well. There are 4 ways the first two children could have been:
1. boy boy - it is 1/4 of the options.
2. boy girl
3. girl boy
4. girl girl
Another way to solve it is by multiplying 1/2 by 1/2.
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