Solution of problem N4081 probability theory total prob

Solution of problem N4081 probability theory total prob

4081. Near the gas station, standing on the highway, passes an average of 80% of trucks and 20% of passenger cars. The probability that the truck will refuel is 0.05, for a passenger this probability is 0.1. Find the probability that the car chosen at random will refuel.

Additional information:

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