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## Submission + - The Tuesday Birthday Problem (sciencenews.org) 1

An anonymous reader writes: I have two children, one of whom is a boy born on a Tuesday. What's the probability that my other child is a boy?

Believe it or not, the Tuesday thing is relevant. Well, sort of. It's ambiguous. Read the article to find out the answer.

In honor of Martin Gardner.

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## The Tuesday Birthday Problem

• #### exactly 1 in 2 (Score:2)

Because your boy born on Tuesday is a constant in the problem, not a variable. The only variable is the gender and weekday for your other child.

If you rephrase the question: "In families with two children at least one of which is a boy born on Tuesday, what's the probability the other is a boy?" then the answer is 13 in 27.

There are 2 genders x 7 days x 2 genders x 7 days = 196 equally likely gender/day of week combinations for families with two children. I then eliminate 169 of the 196 possibilities with t

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