Question

In a throw of a pair of dice, find the probability of getting 8 as the sum.

Answer 1

Given: A single throw of a pair of fair six-sided dice; find P(sum = 8).

Step-wise calculation:

1. Total possible outcomes

= 6 × 6

= 36

2. Favourable outcomes that sum to 8:

(2, 6), (3, 5), (4, 4), (5, 3), (6, 2) → 5 outcomes

3. Required probability = `"Number of favourable outcomes"/"Total outcomes"`

= `5/36`

= 0.1389

The probability of getting 8 as the sum is `5/36`.