MathDB
Random Selector

Source: 1972 USAMO Problem 3

March 6, 2010
probability

Problem Statement

A random selector can only select one of the nine integers 1,2,,9 1,2,\ldots,9, and it makes these selections with equal probability. Determine the probability that after n n selections (n>1 n>1), the product of the n n numbers selected will be divisible by 10.