Question

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

Explanation:

Step1: Identify total outcomes

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

Step2: Identify favorable outcomes

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

Step3: Calculate probability

The probability formula is $P(E)=\frac{n(E)}{n(S)}$, so $P(2)=\frac{1}{6}\approx0.17$.

Answer:

$0.17$