Probability that mangles the mind

Here's an impressive blog entry about "recreational mathematics", in the area of probability:
Briefly, someone asks: I have two children. One is a boy born on a Tuesday. What is the probability I have two boys?

The answer is not 50 %.

This is even more mind-boggling than the Monty Hall problem, a variation of which I published in the web about 14 years ago:

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