Solving problem N3873 Bayesian probability theory

Solving problem N3873 Bayesian probability theory

3873. 6% of all men and 35% of all women are color blind. At random, the chosen person turned out to be color blind. What is the probability that this is 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)