Question

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is 8.

Answer 1

The number of possible outcomes = 6 × 6 = 36 

The outcomes favourable to the event the sum of the two number is 8 = E = {(2, 6),(3, 5),(4, 4),(5, 3),(6, 2)}` 

The number of outcomes favourable to E = n(E) = 5 

Hence, `P(E) = (n(E))/(n(S)) = 5/36`