On september 11, 2002, a particular state lottery's daily number came up 9 dash 1 dash 1. assume that no more than one digit is used to represent the first nine months. a) what is the probability that the winning three numbers match the date on any given day? b) what is the probability that a whole year passes without this happening? c) what is the probability that the date and winning lottery number match at least once during any year? d) if 38 states have a three-digit lottery, what is the probability that at least one of them will come up 7 dash 1 dash 9 on july 19?