In a TV program, the contestant can win one of three prizes. The prizes consist of a first prize and two lesser prizes. The dollar value of the first prize is a five-digit number and begins with 1, whereas the dollar values of the lesser prizes are three digit numbers. There are initially four unexposed digits in the value of first prize and three in each of the values of the other two prizes. The game involves trying to guess the digits in the dollar value of the first prize before guessing the digits in either of the dollar values of the other two prizes. Each of the digits 0-9 is used only once among the three prizes. The contestant chooses one digit at a time until all of the digits in the dollar value of one of the three prizes have been completed. What is the probability that the contestant will win the first price? Use computer simulation to find this probability.