A driver encounters two traffic lights on the way to work each morning. Each light is either red, yellow, or green. The probabilities of the various combinations of colours is given in the following table:

a. What is the probability that the first light is red? b. What is the probability that the second light is green?

c. Find the probability that both lights are the same color.

d. Given that the first light is red, find the probability that the second light is green.

e. Given that the second light is yellow, find the probability that the first light is red.