Suppose at Islamabad Kashmir Highway, the traffic engineers have coordinated the timings of two traffic signals to encourage a run of green signals. In particular, the timing was designed so that with probability 0.8 a driver will find second signals’ light to have the same color as the first. Assuming the first signal is equally likely to be red or green,
i. What is the probability that the second signal is green?
ii. What is the probability that the driver at least waits at one of the signal?
iii. What is the probability of a first green signal, given that the second signal is red?