Solving problem N3869 Bayesian probability theory

Solving problem N3869 Bayesian probability theory

3869. 10% of all men and 6% of all women are color blind. At random, the chosen person turned out to be color blind. What is the probability that the selected person turned out to be a man? The number of men and women is considered the same.

Additional information:

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