Question

Two dice were thrown simultaneously. Then find the probability of getting the sum of outcomes more than 8.

• A. $\frac{1}{9}$
• B. $\frac{1}{6}$
• C. $\frac{5}{18}$
• D. $\frac{4}{9}$

Answer 1

The correct option is C $\frac{5}{18}$

The total possible outcomes will be $6\times 6=36$

They are :

$(1,1),(2,1),(3,1),(4,1),(5,1),(6,1),$

$(1,2),(2,2),(3,2),(4,2),(5,2),(6,2),$

$(1,3),(2,3),(3,3),(4,3),(5,3),(6,3),$

$(1,4),(2,4),(3,4),(4,4),(5,4),(6,4),$

$(1,5),(2,5),(3,5),(4,5),(5,5),(6,5),$

$(1,6),(2,6),(3,6),(4,6),(5,6),(6,6)$

Number of getting sum of outcomes more than 8, $=10$
[i.e. $(3,6)(4,5)(4,6)(5,4)(5,5)(5,6)(6,3)(6,7)(6,5)(6,6)$]

$P\left(A\right)=\frac{Numberoffavorableoutcomes}{TotalNumberofpossibleoutcomes}$
Probability $P\left(A\right)=\frac{10}{36}=\frac{5}{18}$

hence, option $C$ is correct.