Question

Kayla rolls two number cubes numbered $1$ to $6$. What is the probability that the sum of the numbers rolled will be $5$?

• A. $\frac{1}{19}$
• B. $\frac{1}{9}$
• C. $\frac{1}{8}$
• D. $\frac{1}{6}$

Answer 1

The correct option is B

$\frac{1}{9}$

Explanation for the correct option:

Solve for the required probability:

Given that Kayla rolls two number cubes numbered $1$ to $6$.

Favorite outcomes are $(1,4),(4,1),(2,3),(3,2)$
Total outcomes $=6^2$
$=36$

Probability that the sum of the numbers rolled will be $5$$=\frac{4}{36}$
$=\frac{1}{9}$

Hence, probability that the sum of the numbers rolled will be $5$ is $\frac{1}{9}$.

Hence, option(B) is correct option.