Question

a traditional die with six sides numbered 1 to 6 is rolled. find the theoretical probability of rolling a 2. p(2) = ?

Explanation:

Step1: Identify total outcomes

A die has 6 sides, so total outcomes $n(S)=6$.

Step2: Identify favorable outcomes

Rolling a 2 is 1 favorable outcome, so $n(E) = 1$.

Step3: Use probability formula

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

Answer:

$\frac{1}{6}$