a bag contains six balls labeled 1 through 6. one ball will be randomly picked. what is the probability of…

a bag contains six balls labeled 1 through 6. 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 six balls labeled 1 through 6. 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 6 balls, so total outcomes = 6.

Step2: Identify favorable outcomes

Multiples of 3 from 1 - 6 are 3 and 6. So favorable outcomes = 2.

Step3: Calculate probability

Probability = $\frac{\text{favorable outcomes}}{\text{total outcomes}}=\frac{2}{6}$.

Step4: Simplify fraction

$\frac{2}{6}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$