a bag contains twelve balls labeled 1 through 12. one ball will be randomly picked. what is the probability…

a bag contains twelve balls labeled 1 through 12. one ball will be randomly picked. what is the probability of picking an even number? write your answer as a fraction in simplest form.

a bag contains twelve balls labeled 1 through 12. one ball will be randomly picked. what is the probability of picking an even number? write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Count total outcomes

There are 12 balls, so total outcomes = 12.

Step2: Count favorable outcomes

Even - numbered balls from 1 - 12 are 2, 4, 6, 8, 10, 12. So favorable outcomes = 6.

Step3: Calculate probability

Probability $P=\frac{\text{favorable outcomes}}{\text{total outcomes}}=\frac{6}{12}$.

Step4: Simplify the fraction

$\frac{6\div6}{12\div6}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$