Question

there is a spinner with 8 equal areas, numbered 1 through 8. if the spinner is spun one time, what is the probability that the result is a multiple of 3 or a multiple of 2?

Explanation:

Step1: List multiples of 3 and 2

Multiples of 3 from 1 - 8 are 3, 6. Multiples of 2 from 1 - 8 are 2, 4, 6, 8.

Step2: Find unique elements

The set of numbers that are multiples of 3 or 2 is {2, 3, 4, 6, 8}, with 5 elements.

Step3: Calculate probability

The total number of outcomes is 8. Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{5}{8}$.

Answer:

$\frac{5}{8}$