Solving problem N4067 Bayesian probability theory

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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)

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