Question

for the experiment of rolling a single fair die, find the probability of obtaining not an even. the probability of obtaining not an even is□. (type an integer or a simplified fraction.)

Explanation:

Step1: Determine the sample space

When rolling a single fair die, the sample space \( S=\{1,2,3,4,5,6\} \), so \( n(S) = 6 \).

Step2: Find the number of non - even outcomes

The non - even (odd) outcomes are \( \{1,3,5\} \), so \( n(\text{not even})=3 \).

Step3: Use the probability formula

The probability formula is \( P(A)=\frac{n(A)}{n(S)} \). Here \( A \) is the event of getting not an even number. Substituting \( n(A) = 3 \) and \( n(S)=6 \) into the formula, we get \( P(\text{not even})=\frac{3}{6}=\frac{1}{2} \).

Answer:

\(\frac{1}{2}\)