Question: Suppose each day that you drive to work a traffic light that you encounter is either green with probability 7/16, red with probability 7/16, or

Suppose each day that you drive to work a traffic light that you encounter is either green with probability 7/16, red with probability 7/16, or yellow with probability 1/8, independent of the status of the light on any other day. If over the course of five days, G, Y, and R denote the number of times the light is found to be green, yellow, or red, respectively, what is the probability that P[G = 2, Y = 1, R = 2]? Also, what is the probability P[G = R]?

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