Question

a single fair die is rolled. find the probability of getting a 3. the probability is \boxed{}. (simplify your answer.)

Explanation:

Step1: Determine total outcomes

A fair die has 6 faces, so total possible outcomes \( n(S) = 6 \).

Step2: Determine favorable outcomes

We want to get a 3, so the number of favorable outcomes \( n(E) = 1 \).

Step3: Calculate probability

Probability formula is \( P(E)=\frac{n(E)}{n(S)} \). Substituting values, \( P(E)=\frac{1}{6} \).

Answer:

\(\frac{1}{6}\)