Solving problem N4061 Bayesian probability theory

Solving problem N4061 Bayesian probability theory

4061. Past gas stations on average per day passes 60% of trucks and 40% of cars. The probability that the truck stops at a gas station is 0.2, and for a passenger car this probability is 0.1. A car stopped at a gas station. Find the probability that it is passenger.

Additional information:

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