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05 ==> oldest.girl <== [probability] (Frequently Asked Puzzles - specific)




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This article is from the Puzzles FAQ, by Chris Cole chris@questrel.questrel.com and Matthew Daly mwdaly@pobox.com with numerous contributions by others.

05 ==> oldest.girl <== [probability] (Frequently Asked Puzzles - specific)

If a person has two children, and truthfully answers yes to the question
"Is at least one of your children a girl?", what is the probability that
both children are girls?

The answer is 1/3, assuming that it is equally likely that a child will be
a boy or a girl. Assume that the children are named Pat and Chris: the
three cases are that Pat is a girl and Chris is a boy, Chris is a girl and
Pat is a boy, or both are girls. Since one of those three equally likely
possibilities have two girls, the probability is 1/3.

 

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