Solving problem N4013 Bayesian probability theory

Solving problem N4013 Bayesian probability theory

4013. The number of trucks traveling along the highway on which the gas station stands is one of the cars driving along the same highway as 3: 2. The probability that a truck will refuel is 0.1; for a passenger car, this probability is 0.2. A car drove up to the gas station for refueling. Find the probability that this is a truck

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