The boy born on a Tuesday

A parent has two children. You learn that at least one is a boy born on a Tuesday. Assuming boys and girls are equally likely and birth-days are uniform and independent, what is the probability that both children are boys? Give your answer as a decimal (to 2 decimals).

Show hints (2)+
  1. Label each child by (sex, day): 14 equally likely tags, 196 ordered pairs.
  2. Count ordered pairs with at least one boy-Tuesday using inclusion-exclusion.

Answer

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0.48 (± 0.01)

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