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 = {2,4,7,8} ). ( p(e)=square ) (type an integer or a decimal. do not round.)

Explanation:

Step1: Calculate 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: Calculate the number of elements in event \( E \)

The event \( E=\{2,4,7,8\} \), so \( n(E)=4 \)

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

Substitute \( n(E) = 4 \) and \( n(S)=10 \) into the formula: \( P(E)=\frac{4}{10}=0.4 \)

Answer:

\( 0.4 \)