Solving problem N4069 Bayesian probability theory

Solving problem N4069 Bayesian probability theory

4069. 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: 3. The probability that a passing truck will refuel is 0.05. For a passenger car, this probability is 0.06. Find the probabilities of the following events: a) a passing car will refuel; b) the car that arrived at the gas station is passenger.

Additional information:

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