Question

8-two standard dice are rolled, what is the probability that the total of the two dice is less than 6?

Answer 1

`5/18`

Explanation:

There are `6` possibilities for each die, and thus `6*6=36` total possible rolls. Of these rolls, `10` have sums less than `6`, those being, with the format `("die 1", "die 2")`,

`(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (4, 1)`

Thus the probability of the total being less than `6` is `10/36=5/18`