At the end of Maths at: the Movies, The Imitation Game Ben presented the following question

I have two children. One of them is a boy and they were born on a Tuesday.

What is the probability that both children are boys?

Now, unfortunately, Ben royally screws up the explanation of this answer in the next podcast. However, we are recording an appendix episode to put the world to rights. In the mean time though we can solve the slightly simpler puzzle:

I have two children. One of them is a boy.

What is the probability that both children are boys?

The answer will appear in the next podcast.

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