a bag contains nine balls labeled 1 through 9. one ball will be randomly picked. what is the probability of…

a bag contains nine balls labeled 1 through 9. 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.

a bag contains nine balls labeled 1 through 9. 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.

Answer

Explanation:

Step1: Identify total outcomes

There are 9 balls, so total outcomes = 9.

Step2: Identify favorable outcomes

Multiples of 3 from 1 - 9 are 3, 6, 9. So favorable outcomes = 3.

Step3: Calculate probability

Probability = $\frac{\text{favorable outcomes}}{\text{total outcomes}}=\frac{3}{9}$.

Step4: Simplify the fraction

$\frac{3}{9}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$