B. Suppose that the police force has sufficient resources to conduct 100 car searches per day and that half of all vehicles are pick-up trucks and half are passenger cars. The probability of finding an illegal substance in a pick-up truck is pt 1nt 2 5 9/190 1 nt 2 where nt is the number of pick-up truck searches conducted. The probability of finding an illegal substance in a passenger car is pc 1nc 2 5 1/110 1 nc 2

(where nc is the number of car searches conducted).