Question

The experiment is to throw a fair die twice. What is the probability that the sum of the two numbers is equal to 6?

Answer 1

Below are the total 36 possible outcomes when two dice are rolled.

(1,1)   (1,2)   (1,3)   (1,4)   (1,5) (1,6)
(2,1)   (2,2)   (2,3)   (2,4)   (2,5)   (2,6)
(3,1)   (3,2)   (3,3)   (3,4)   (3,5)   (3,6)
(4,1)   (4,2)   (4,3)   (4,4)   (4,5)   (4,6)
(5,1)   (5,2)   (5,3)   (5,4)   (5,5)   (5,6)
(6,1)   (6,2)   (6,3)   (6,4)   (6,5)   (6,6)

There are 5 outcomes where the sum is 6

Hence required probability = 5/36 = 0.1389