Assume that the probability that there is a significant accident in a nuclear power plant during one year’s time is .001. If a country has 100 nuclear plants, estimate the probability that there is at least one such accident during a given year.
Problem is from Grinstead and Snell. They have solved by Poisson approximation. My question is why can't this be solved by binomial. To me it looks like a straight-forward binomial problem.