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 is a multiple of 5 and a multiple of 3?
The multiples of 5 and 3 (i.e. the common multiples) between 1 and 15 are 15 and 5. Therefore, there are only two possible outcomes that satisfy both conditions. The probability of getting one of those outcomes is $\frac{2}{15}$. Thus, the probability of the result being a multiple of 5 and a multiple of 3 is $\boxed{\frac{2}{15}}$.
