What is the probability of rolling greater than 7 with two dice?

Answer 1

P(8 or greater on two dice) = P(2 on first and 6 on second) + P(3 on first and at least 5 on second) + P(4 on first and at least 4 on second) + P(5 on first and at least 3 on second) + P(6 on first and at least 2 on second) = (1/6 * 1/6) + (1/6 * 2/6) + (1/6 * 3/6) + (1/6 * 4/6) + (1/6 * 5/6) = (1 + 2 + 3 + 4 + 5)/36 = 15/36

P(8 or greater on two dice) = 15/36, or 5/12.