Question

Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is 2. Select the correct answer from above options

Answer 1

The total number of sample space in two dice, n(S) = 6 x 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 \(\therefore\,P(E)=\frac{n(E)}{n(S)}=\frac{8}{36}=\frac{2}{9}\)