Suppose you are coding a simulation in order to estimate the probability of some event. So you simulate the random experiment times, and keep track of the proportion of times that the event happens. When you stop, will be your estimate of the true probability . We would like our estimate to be within 0.02 of the correct .

Question: How big should be to guarantee that the probability that is more than 0.02 away from is less than 0.05?