Question

Two unbiased dice are rolled once. Find the probability of getting a sum of $5$.

• A. $\frac{1}{9}$
• B. $\frac{3}{4}$
• C. $\frac{2}{3}$
• D. $\frac{1}{5}$

Answer 1

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

When two dice are thrown, the sample space is given (refer the below diagram)
$n\left(S\right)=6x6=36$
Let $A$ be the event of getting $5$.
$A=\left\{\right(1,4),(2,3),(3,2),(4,1\left)\right\}$
$n\left(A\right)=4$
$P\left(A\right)=\frac{n\left(A\right)}{n\left(S\right)}=\frac{4}{36}=\frac{1}{9}$