Question

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.

Explanation:

Step1: Count total outcomes

Total balls: 6 (labels 1-6)

Step2: Count favorable outcomes

Multiples of 3: 3,6 → 2 outcomes

Step3: Calculate probability

Probability = $\frac{\text{Favorable}}{\text{Total}} = \frac{2}{6} = \frac{1}{3}$

Answer:

$\frac{1}{3}$