a bag contains ten balls labeled 1 through 10. one ball will be randomly picked. what is the probability of…

Explanation:

Step1: Count odd - numbered balls

The odd - numbered balls from 1 to 10 are 1, 3, 5, 7, 9. So there are 5 odd - numbered balls.

Step2: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the total number of balls is 10, and the number of favorable outcomes (picking an odd - numbered ball) is 5. So $P = \frac{5}{10}$.

Step3: Simplify the fraction

$\frac{5}{10}=\frac{5\div5}{10\div5}=\frac{1}{2}$

Answer:

$\frac{1}{2}$