Probability that the product of two eight-sided dice equals a given value and a binomial number of wins

In a board game, a player rolls two fair eight-sided dice, each with faces numbered \(1\) to \(8\). The player collects a token when the product of the two scores is \(12\).

1. The player rolls the two dice once. Find the probability that the player collects a token.[3]
2. The player rolls the two dice \(10\) times. Find the probability that the player collects exactly \(2\) tokens.[2]