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 hundred

Explanation:

Step1: Determine total outcomes

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

Step2: Determine favorable outcomes

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

Step3: Calculate probability

Probability formula \( P(E)=\frac{n(E)}{n(S)} \). Substitute \( n(E) = 1 \), \( n(S)=6 \), so \( P(2)=\frac{1}{6}\approx0.17 \).

Answer:

\( 0.17 \)