Solving problem N4038 Bayesian probability theory

Solving problem N4038 Bayesian probability theory

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.

Additional information:

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

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