Question

Find the probability of getting the sum of two numbers, less than 3 or more than 11, when a pair of distinct dice is thrown together. [CBSE 2017]

Answer 1

Favorable outcomes for sum of numbers on dice less than 3 or more than 11 are (1,1), (6,6).
Required probability = P(sum is less than 3 or more than 11) = $\frac{2}{36}=\frac{1}{18}.$