Question

In a single throw of two dice, find the probability of getting a total of 10.

Answer 1

Given: In a single throw of two fair dice, find the probability that the total sum is 10.

Step-wise calculation:

1. Total number of equally likely outcomes = 6 × 6 = 36.

2. Outcomes giving a sum of 10 are (4, 6), (5, 5), (6, 4). 

Number of favourable outcomes = 3.

3. Probability = `"Number of favourable outcomes"/"Total outcomes"`

= `3/36`

= `1/12`

The probability of getting a total of 10 in a single throw of two dice is `1/12`.