Question

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.

Explanation:

Step1: Determine total outcomes

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

Step2: Determine favorable outcomes

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

Step3: Calculate probability

Probability = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$