Question

counting and probability probability involving one die or choosing from n distinct objects a bag contains seven balls labeled 1 through 7. one ball will be randomly picked. what is the probability of picking an even number? write your answer as a fraction.

Explanation:

Step1: Identify total outcomes

The total number of balls is 7, so the total number of possible outcomes is 7.

Step2: Identify favorable outcomes

The even - numbered balls are 2, 4, 6. So there are 3 favorable outcomes.

Step3: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{3}{7}$.

Answer:

$\frac{3}{7}$