Question

a bag contains ten balls labeled 1 through 10. one ball will be randomly picked. what is the probability of picking a multiple of 3? write your answer as a fraction in simplest form.

Explanation:

Step1: Determine total number of outcomes

Total number of balls \( n(S)=10 \) (since balls are labeled 1 - 10)

Step2: Determine number of favorable outcomes

Multiples of 3 between 1 - 10 are 3,6,9. So \( n(A) = 3 \)

Step3: Use probability formula

Probability \( P(A)=\frac{n(A)}{n(S)}=\frac{3}{10} \)

Answer:

\(\frac{3}{10}\)