Police plan to enforce speed limits by using radar traps at different locations within the Kumasi Metropolis. The radar traps at each of the locations L_{1, }L_{2, }L_{3}and L_{4}are operated 40%, 30%, 20% and 30% of the time, and if a person who is speeding on his way to work has probabilities 0.2, 0.1, 0.5, and 0.2 respectively, of passing through these locations:

1. what is the probability that he will receive a speeding ticket?

\2. if a person received a speeding ticket on his way to work, what is the probability that he passed the trap located at L_{2}