Two dice are rolled. The sum of the dice is a 5 or a 11. Compute the probability of the compound event occurring.

Answer 1

There are 36 combinations for 2 six-sided dice

How many are 5: 1 and 4, 4 and 1, 2 and 3, 3 and 2

How many are 11: 5 and 6, 6 and 5

so six combinations are either 5 or 11 out of 36 possible combinations, so probability is 6/36 = 1/6.