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

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A
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