Question

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Explanation:

Step1: Determine total outcomes

A standard 6 - sided die has 6 possible outcomes: 1, 2, 3, 4, 5, 6. So the total number of outcomes, \(n = 6\).

Step2: Determine favorable outcomes

We want numbers greater than 3. The numbers greater than 3 on a 6 - sided die are 4, 5, 6. So the number of favorable outcomes, \(m=3\).

Step3: Calculate probability

The formula for probability is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Substituting \(m = 3\) and \(n=6\) into the formula, we get \(P=\frac{3}{6}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\) (corresponding to the option with \(\frac{1}{2}\))