Question

a bag contains twelve balls labeled 1 through 12. one ball will be randomly picked. what is the probability of picking an even number? write your answer as a fraction.

Explanation:

Step1: Count total number of balls

Total number of balls \( n(S)=12 \)

Step2: Count number of even - numbered balls

Even - numbered balls are \( 2,4,6,8,10,12 \), so \( n(E) = 6 \)

Step3: Use probability formula

Probability \( P(E)=\frac{n(E)}{n(S)}=\frac{6}{12} \)

Step4: Simplify the fraction

\(\frac{6\div6}{12\div6}=\frac{1}{2}\)

Answer:

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