Question

A fair die is thrown. What is the probability that the score is not a factor of $5$?

• A. $\frac{1}{5}$
• B. $\frac{1}{3}$
• C. $\frac{5}{6}$
• D. $\frac{2}{3}$

Answer 1

Answer: (D)

$\frac{2}{3}$

The numbers on the die that are factors of $5$ are $1$ and $5$.

$P$ (Score is a factor of $5$) $=$ $\frac{2}{6}=\frac{1}{3}$

$P$ (Score is not a factor of $6$) $=$ $1-\frac{1}{3}=\frac{2}{3}$