The probability of getting sum greater than 10, when two dice are rolled together, is

The probability of getting sum greater than 10, when two dice are rolled together, is
(a) 1/9
(B) 1/18
(C) 1/12
(D) 1

Solution : Correct answer is : (C) 1/12

Total possible outcomes

When two dice are rolled:

Each die has 6 faces.

So total outcomes = 6 × 6 = 36

Find sums greater than 10

“Sum greater than 10” means:

• 11
• 12

Sum = 11

Possible pairs:

• (5,6)
• (6,5)

2 outcomes

Sum = 12

Possible pair:

• (6,6)

1 outcome

Total favourable outcomes

$$2 + 1 = 3$$Probability

Correct answer is : (C) 1/12