On September 11, 2002, a particular state lottery's daily number came up 9-1-1. 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 25 states have a three-digit lottery, what is the probability that at least one of them will come up 9-1-2 on September 12? a) The probability that the winning three numbers match the date on any given day that can be represented by a three-digit number is (Type an integer or decimal rounded to the nearest thousandth as needed.) The probability that the winning three numbers match the date on any given day that can be represented by a four-digit number, such as October 15, is (Type an integer or decimal rounded to the nearest thousandth as needed.) b) The probability that a whole year passes without this happening isU (Type an integer or decimal rounded to the nearest thousandth as needed.) c) The probability that the date and winning lottery number match at least once during any year is (Type an integer or decimal rounded to the nearest thousandth as needed) d) The probability that at least one of the winning numbers from 25 states is 9-1-2 on September 12 is (Type an integer or decimal rounded to the nearest thousandth as needed.)