Question

find the probability.
a fair die is rolled. what is the probability of rolling a 3 or a 5?
\\( \frac { 1 } { 6 } \\)
\\( \frac { 1 } { 36 } \\)
\\( \frac { 1 } { 3 } \\)
2

Explanation:

Step1: Determine total outcomes

A fair die has 6 faces. So total number of outcomes \(n(S)=6\).

Step2: Determine favorable outcomes

Favorable outcomes (rolling a 3 or 5) \(n(E) = 2\).

Step3: Calculate probability

Probability formula \(P(E)=\frac{n(E)}{n(S)}\). Substituting values \(P(E)=\frac{2}{6}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)