### Brain Teasers

# My Three Sons

Probability
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.Probability

Mrs. Mathemagican has three children. If AT LEAST one of her children is a boy, what is the probability that she has three sons?

### Answer

The probability of her having three sons is 1/7 .Given that she has at least one boy, then there are seven equally likely outcomes for her three children: BBB, BBG, BGB, GBB, GBG, GGB, and BGG. The only one of the 8 total possible outcomes that you can rule out is GGG. Hence, the probability of three boys is 1/7.

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