Question

A couple of dice rolled. What is the empirical probability of getting the sum as $5$?

• A. $\frac{3}{2}$
• B. $\frac{1}{9}$
• C. $\frac{5}{2}$
• D. $\frac{7}{2}$

Answer 1

Answer: (B)

$\frac{1}{9}$

Refer below diagram for sample space of two dice rolled to get sum of $5$

When a pair of dice rolled possibilities for getting $5$ is $(1,4),(2,3),(3,2),(4,1)$

Total number events occurred when we roll the dice $=36$

So, the empirical probability formula is as follows,

$P\left(E\right)=$ $\frac{4}{36}=\frac{1}{9}$