There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result a multiple of 3 or a multiple of 4

First, we need to determine how many numbers on the spinner are multiples of 3 or multiples of 4.

Multiples of 3: 3, 6, 9, 12, 15 (5 numbers)
Multiples of 4: 4, 8, 12 (3 numbers)

However, we need to be careful not to double count the number 12, as it is both a multiple of 3 and a multiple of 4.

Therefore, there are a total of 5 + 3 - 1 = 7 numbers that are multiples of 3 or multiples of 4.

Since there are 15 equal areas on the spinner, the probability of landing on a multiple of 3 or a multiple of 4 when spinning the spinner one time is 7/15 or 0.467, which can be simplified to approximately 46.7%.