Question

In a single throw of two dice, find the probability of getting a total of 9 or 11.

Answer 1

Given:Two fair six-sided dice are thrown once; find P(total = 9 or 11).

Step-wise calculation:

1. Total possible ordered outcomes

= 6 × 6

= 36

2. Outcomes giving total 9: (3, 6), (4, 5), (5, 4), (6, 3) → 4 outcomes.

3. Outcomes giving total 11: (5, 6), (6, 5) → 2 outcomes.

4. Total favourable outcomes

= 4 + 2

= 6

5. Probability = `"Favourable"/"Total"`

= `6/36`

= `1/6`

= 0.1667

The probability of getting a total of 9 or 11 in one throw of two dice is `1/6`.