Question

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 2 and a multiple of 3?

Answer 1

Multiples of both 2 and 3 are multiples of lcm(2,3)=6. Among 1–15 those are 6 and 12, so 2 favorable outcomes out of 15.

Probability = 2/15.