Question

If two dice are rolled then the probability of getting sum as prime number is

Answer 1

HERE IS YOUR ANSWER.....

The sum of the upper faces of two die ranges from 2 (1+1) to 12 (6+6). Only 2, 3, 5, 7 and 11 are the primes in this range. So, the favourable outcomes for each prime are:

2=(1,1)

3=(1,2),(2,1)

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

7=(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)

11=(6,5),(5,6)

So, number of favourable outcomes are: 15

Total number of outcomes are: 36

Probability =15 by 36=5 by 12

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