There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 3?

Answer 1

To find the probability that the result is a multiple of 2 or a multiple of 3, we need to first find the total number of favorable outcomes.

Multiples of 2 between 1 and 12 are 2, 4, 6, 8, 10, and 12.
Multiples of 3 between 1 and 12 are 3, 6, 9, and 12.

The numbers 6 and 12 are common multiples of both 2 and 3, so we need to count them only once.

So, the total number of favorable outcomes is 6 (multiples of 2) + 4 (multiples of 3) - 1 (common multiple of 2 and 3) = 9.

There are 12 total possible outcomes on the spinner.

Therefore, the probability that the result is a multiple of 2 or a multiple of 3 is 9/12 = 3/4 = 0.75 or 75%.