Question

Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is 2.

Answer 1

The total number of sample space in two dice, n(S) = 6 × 6 = 36

Let E = Event of getting the numbers whose difference is 2

= {(1, 3), (2, 4), (3, 5), (4, 6), (3, 1), (4, 2), (5, 3),(6, 4)}

∴ n(E) = 8

∴ P(E) = `(n(E))/(n(S)) = 8/36 = 2/9`