Решение задачи N4067 теория вероятностей Байеса

4067. The number of trucks traveling along the highway on which the gas station stands refers to the number of cars passing along the same highway as 5: 2. The probability that a passing truck will refuel is 0.02. For a passenger car, this probability is 0.05. Find probabilities of events:
1. A randomly selected driving car will refuel (Event A).
2. A car that has arrived at a gas station is a truck (event H1).

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