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 L1, L2, L3 and L4 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 L2