An old car is never garaged at. On the morning following a wet night, the probability that the car does not start is 1/3. On the morning following a dry night, this probability is 1/25. The starting of a car each morning is independent of its performance on previous morning

During a long summer drought there are 100 dry nights. Using a Poisson approximation, determine the probability that the car does not start on 5 or more of the 100 mornings.