Решение задачи N4038 теория вероятностей Байеса

4038. On the highway on average passes cars twice as much as trucks. The probability that a passenger car will refuel is 0.1; for a truck, the probability is 0.2. A car drove up to the gas station for refueling. Find the probability that this is a passenger car.

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