Question

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

Options

• `1/9`

• `1/18`

• `1/12`

• 1

Answer 1

The probability of getting sum greater than 10, when two dice are rolled together, is `underlinebb(1/12)`.

Explanation:

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 favorable outcomes

2 + 1 = 3

Probability = `"Favourable outcomes"/"Total outcomes"`

= `3/36`

= `1/12`