a bag contains eleven balls labeled 1 through 11. one ball will be randomly picked. what is the probability…

a bag contains eleven balls labeled 1 through 11. 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 eleven balls labeled 1 through 11. 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: Find multiples of 3

The multiples of 3 between 1 and 11 are 3, 6, 9. So there are 3 favorable outcomes.

Step2: Calculate total outcomes

There are 11 balls in total, so total number of outcomes is 11.

Step3: Calculate probability

Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{3}{11}$.

Answer:

$\frac{3}{11}$