Solving problem N4063 Bayesian probability theory

Solving problem N4063 Bayesian probability theory

4063. Past the gas station passing cars and trucks. Among them, trucks 40%. The probability that a passing car will arrive at a gas station is 0.1 for trucks, and 0.2 for cars. A car arrived at the gas station. Find the probability that she is freight.

Additional information:

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