Question

a 6-sided die is rolled. find the probability that either a 3 or a 5 is the number on top. (1 point) \\(\frac{1}{3}\\) \\(\frac{1}{6}\\) 2 \\(\frac{1}{36}\\)

Explanation:

Step1: Determine total number of outcomes

A 6 - sided die has 6 possible outcomes. So, \(n(S)=6\).

Step2: Determine number of favorable outcomes

The favorable outcomes (either 3 or 5) are 2. So, \(n(E) = 2\).

Step3: Calculate probability

The probability formula is \(P(E)=\frac{n(E)}{n(S)}\). Substituting values, \(P(E)=\frac{2}{6}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\) (corresponding to the first option)