a six - sided die with sides labeled 1 through 6 will be rolled once. each number is equally likely to be…

a six - sided die with sides labeled 1 through 6 will be rolled once. each number is equally likely to be rolled. what is the probability of rolling a number greater than 2? write your answer as a fraction in simplest form.

a six - sided die with sides labeled 1 through 6 will be rolled once. each number is equally likely to be rolled. what is the probability of rolling a number greater than 2? write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Determine total outcomes

The die has 6 sides, so total outcomes $n = 6$.

Step2: Determine favorable outcomes

Numbers greater than 2 are 3, 4, 5, 6. So favorable outcomes $m=4$.

Step3: Calculate probability

Probability $P=\frac{m}{n}=\frac{4}{6}$.

Step4: Simplify fraction

$\frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$