Two dice are thrown together. The probability of the sum of the numbers being 8 is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(\frac{5}{36}\)
Each die can show any of 6 numbers, so two dice have \(6\times6=36\) equally likely outcomes, each a pair (first die, second die). The probability is the number of favourable outcomes divided by 36; (2, 6) and (6, 2) are different outcomes and are counted separately.
Outcomes with a sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2), that is 5 outcomes
Probability of a sum of 8: \(\displaystyle\frac{5}{36}\)