Question

A pair of die is rolled, what is the probability of getting a 5 or a 6?

Answer 1

The total number of outcomes is

$N=6\cdot6=36.$

The favorable outcomes are

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

(1, 5), (2, 4), (3, 3), (4, 2), (5, 1).

The number of favorable outcomes is n = 9.

The probability of getting a 5 or a 6 is

$P=\cfrac{n}{N}=\cfrac{9}{36}=\cfrac{1}{4}=0.25.$