Question

A die is rolled once. What is the probability of rolling a number greater than 4?

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

Hint:

When calculating probability, identify the favorable outcomes and divide by the total possible outcomes. For a fair die, there are 6 possible outcomes.

Answer 1

The Correct Option is C

Step 1: Total possible outcomes when rolling a die. A die has 6 faces, numbered from 1 to 6. Thus, the total number of possible outcomes when rolling the die is 6. Step 2: Number of favorable outcomes. We are asked to find the probability of rolling a number greater than 4. The numbers greater than 4 on a die are 5 and 6. Therefore, there are 2 favorable outcomes. Step 3: Probability calculation. The probability is the ratio of favorable outcomes to total outcomes: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{6} = \frac{1}{3} \] Answer: Therefore, the probability of rolling a number greater than 4 is \( \frac{1}{3} \).