Question

let the sample space be ( s={1,2,3,4,5,6,7,8,9,10} ). suppose the outcomes are equally likely. compute the probability of the event ( e= ) \an odd number less than 7.\ ( p(e)= ) (type an integer or a decimal. do not round.)

Explanation:

Step1: Determine the number of elements in sample space

The sample space \( S=\{1,2,3,4,5,6,7,8,9,10\} \), so \( n(S) = 10 \).

Step2: Determine the number of elements in event \( E \)

Event \( E=\) "an odd number less than \( 7 \)" \(=\{1,3,5\}\), so \( n(E)=3 \).

Step3: Use the probability formula \( P(E)=\frac{n(E)}{n(S)} \)

Substitute \( n(E) = 3 \) and \( n(S)=10 \) into the formula: \( P(E)=\frac{3}{10}=0.3 \)

Answer:

\( 0.3 \)