SOLUTION BY R Give an efficient method for generating nine uniform points on (0, 1) conditional on the event than no two of them are within 0.1 of each other. (It can be shown that if n points are independent and uniformly distributed on (0, 1), then the probability that no two of them are within d of each other is, for 0 < d < 1/(n 1), [1- (n-1)d]n.)