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 2 and 3

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

Step2: Find unique numbers

The set of numbers that are multiples of 3 or 2 is {2, 3, 4, 6, 8}, so there are 5 unique numbers.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. Total outcomes = 8. So $P=\frac{5}{8}$.

Answer:

$\frac{5}{8}$