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 even number less than 8\. ( p(e)=square ) (type an integer or a decimal. do not round)

Explanation:

Step1: Count 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: Identify elements in event \( E \)

Event \( E=\) "an even number less than 8". The elements of \( E \) are \( \{2,4,6\} \), so \( n(E)=3 \).

Step3: Use the probability formula

The probability formula is \( P(E)=\frac{n(E)}{n(S)} \). Substituting \( n(E) = 3 \) and \( n(S)=10 \), we get \( P(E)=\frac{3}{10}=0.3 \).

Answer:

\( 0.3 \)