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 an odd number? 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 an odd number? 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

Odd - numbered balls are 1, 3, 5. So favorable outcomes = 3.

Step3: Calculate probability

Probability = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{3}{6}$.

Step4: Simplify the fraction

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

Answer:

$\frac{1}{2}$