4015. The number of trucks traveling along the highway on which the gas station stands is one of the cars passing along the same highway as 3: 5. It is known that, on average, one out of 30 trucks and two out of 50 passenger cars drive up to a gas station to refuel. What is the probability that: a) the car that approached the gas station will refuel; b) there is a passenger car at the gas station; c) is there a truck at the gas station?

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