There are two traffic lights, working independently, on your way home. Each light is either Red (R), Yellow (Y) or Green (G) with probabilities p(R) = .3, P(Y) = .2, and P(G) = .5. The experiment consists of recording the colors of the traffic lights when a vehicle is 20 feet away from the light.
a. List the outcomes in the sample space and find the probabilities for each outcome in the sample space.(Hint: P(RG)=P(R)*P(G))
b. What is the probability of stopping exactly at one of the lights?
c. What is the probability of not stopping at any of the lights?