Two more children

A college student was chatting with his statistics professor. She said, "I have two children, the older one of whom is a girl."

What is the chance that the professor's children are both girls?

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1 solution

Denton Young
Jun 17, 2015

Let the older child be the first letter, and B = boy, G = girl.

The four possibilities are: BB, BG, GB, GG.

Since the oldest child is a girl, that eliminates BB and BG. Of the two remaining possibilities, one has both children as girls.

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