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 the total number of balls

The total number of balls is \(n = 10\) (since there are balls labeled 1 - 10).

Step2: Find the number of favorable outcomes

The multiples of 3 between 1 and 10 are 3, 6, 9. So the number of favorable outcomes \(m=3\).

Step3: Calculate the probability

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

Answer:

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