Question

In a simultaneous throw of a pair of dice, find the probability of getting a total more than $7$.

Answer 1

n(S) = 6 X 6 = 36
E = { (2,6) ; (6,2) ; (3,5); (5,3); (4,4) ; (4,5) ;(5,4); (4,6); (6,4) ; (5,5) ; (3,6) ; (6,3) ; (5,6) ;(6,5) ; (6,6) }
$\Rightarrow n\left(E\right)=15$
$\Rightarrow P\left(E\right)=\frac{15}{36}=\frac{5}{12}$
$\frac{5}{12}$