Question

Question 26
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, $n\left(S\right)=6\times 6=36$
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)}
$\therefore n\left(E\right)=8$
$\therefore P\left(E\right)=\frac{\left(n\right(E\left)\right)}{n\left(S\right)}=\frac{8}{36}=\frac{2}{9}$