Three children, all boys

A family has three children (each independently a boy or girl with probability ½). Given that at least one is a boy, what is the probability all three are boys? Give a decimal to four places.

Show hints (2)+
  1. Condition shrinks the sample space.
  2. 1/87/8\tfrac{1/8}{7/8}.

Answer

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0.1429 (± 0.001)

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