a bag contains ten balls labeled 1 through 10. one ball will be randomly picked. what is the probability of…

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.

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.

Answer

Explanation:

Step1: Identify total outcomes

There are 10 balls, so total outcomes $n = 10$.

Step2: Identify favorable outcomes

Multiples of 3 from 1 - 10 are 3, 6, 9. So favorable outcomes $m=3$.

Step3: Calculate probability

Probability $P=\frac{m}{n}=\frac{3}{10}$.

Answer:

$\frac{3}{10}$