Question

What is the probability of rolling a fair die and getting a number greater than 2?

• A. $P(Num>2)=\frac{1}{3}$
• B. $P(Num>2)=\frac{2}{3}$
• C. $P(Num>2)=\frac{1}{6}$
• D. $P(Num>2)=\frac{5}{6}$

Answer 1

The correct option is B $P(Num>2)=\frac{2}{3}$

The probability of rolling a fair die and getting an number greater than $2$ is $=\frac{4}{6}=\frac{2}{3}$.

This is because out of the $6$ possible outcomes, $4$ of the outcomes are greater than $2$ namely $3,4,5,6$.