Question

In rolling two dice, find the probability that the sum is $5$.

• A. $\frac{1}{8}$
• B. $\frac{2}{9}$
• C. $\frac{1}{9}$
• D. $\frac{2}{3}$

Answer 1

The correct option is C $\frac{1}{9}$

Total no. of outcomes when two dice are roll $n\left(S\right)=6\times 6=36$

Getting a sum of 5 when rolling two dice$=(1,4),(2,3),(3,2)(4,1)$

Hence n(E)=4

$\therefore RequiredProbability=\frac{n\left(E\right)}{n\left(S\right)}=\frac{4}{36}=\frac{1}{9}$