Question

Three dice are rolled. What is the probability of getting the sum as 13?

Answer 1

When three dices are rolled.

Total number of outcomes = = 216

Sum of 13 can be achieved in the following ways:

From the digits 6,4,3

So, there are 3! ways = = 6

From the digits 6,2,5

So, there are 3! ways = = 6

From the digits 5,4,4

So, there are ways = 3

From the digits 6,6,1

So, there are ways = 3

From the digits 3,5,5

So, there are ways = 3

So, total numbers whose sum is 13=

So, Probability = .

Therefore, the probability of getting sum as 21 on rolling three dice = .