Question There is a spinner with 13 equal areas, numbered 1 through 13 . If the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 3 ?

To determine the probability that the result of a spin is a multiple of both 2 and 3, we first need to identify the common multiples of these numbers within the range of 1 to 13. The least common multiple of 2 and 3 is 6. Therefore, the only multiples of 6 between 1 and 13 is 6 itself. So, there is 1 favorable outcome (6) out of 13 possible outcomes. Hence, the probability is 1/13. To put this in simpler terms, you have 13 slices on the spinner. If you want to land on a slice that is both even and a multiple of 3, you're really looking for the magical number 6! Just one little slice from all those 13 holds the key, making your chance of landing on it a neat 1 out of 13. Spin away, and may the odds be ever in your favor!