Solving problem N3871 Bayesian probability theory

Solving problem N3871 Bayesian probability theory

3871. 20% of all men and 5% of all women are color blind. At random, the chosen person turned out to be color blind. The number of men and women is considered the same. What is the probability that this is a man.

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)