Question

A die is rolled. What is the probability of getting a number less than or equal to 4?

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

Hint:

When calculating probabilities, divide the number of favorable outcomes by the total number of possible outcomes.

Answer 1

The Correct Option is A

We are asked to find the probability of rolling a number less than or equal to 4 on a die. Step 1: Total possible outcomes When a fair die is rolled, there are 6 possible outcomes: \( 1, 2, 3, 4, 5, 6 \). Step 2: Favorable outcomes The favorable outcomes are the numbers less than or equal to 4, which are \( 1, 2, 3, 4 \). Thus, there are 4 favorable outcomes. Step 3: Calculate the probability The probability of an event is given by: \[ P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \] Substituting the values: \[ P(\text{number} \leq 4) = \frac{4}{6} = \frac{2}{3} \] Answer: The probability of rolling a number less than or equal to 4 is \( \frac{2}{3} \), so the correct answer is option (1).