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

Total outcomes = $\displaystyle 36$ Number of Outcomes with difference of the numbers on the two dice is \(\displaystyle 2=8\) \[(1,3)(3,1)(4,2)(2,4)(5,3)(3,5)(4,6)(6,4) \] \(\displaystyle P(\) difference of the numbers on the two dice is $\displaystyle 2$\(\displaystyle )=\frac{8}{36}\) or \(\displaystyle \frac{2}{9}\)