Question

a bag contains ten balls labeled 1 through 10. one ball will be randomly picked. what is the probability of picking an odd number? write your answer as a fraction in simplest form.

Explanation:

Step1: Identify total outcomes

There are 10 balls, so total possible outcomes = 10.

Step2: Identify favorable outcomes

Odd numbers from 1 - 10: 1, 3, 5, 7, 9. So favorable outcomes = 5.

Step3: Calculate probability

Probability = $\frac{\text{favorable outcomes}}{\text{total outcomes}}$ = $\frac{5}{10}$ = $\frac{1}{2}$.

Answer:

$\frac{1}{2}$