Question

A red die and green die have been rolled. What is the probability the red die is greater than the green die?

Answer 1

`5/12`

Explanation:

There are `6xx6 = 36` possible outcomes, `6` of which have equal values for the red and green dice. That leaves `36-6 = 30` other possibilities, of which half (`15`) will have red higher than green and half (`15`) green higher than red.

So there are `15` out of `36` outcomes of equal probability in which the red die will be greater than the green die.

So the probabilitiy of red greater than green is `15/36 = 5/12`