Question

Find the probability of getting the sum as a perfect square number when two dice are thrown together.

Options

• 5/12

• 7/18

• 7/36

• None of these

Answer 1

7/36

Explanation:

Sample space in this case is 6 × 6 =36

The sum of two results is a perfect square number. We have the following cases

Case (i): If the sum is 4, then we have the following 3 cases: (1, 3), (2, 2) and (3, 1) 

Case (ii): If the sum is 9 then we have following 4 cases (3, 6), (4, 5), (5, 4) and (6, 3). So, the total number of ways is 3 + 4 = 7 

So the required probability is 7/36