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 4 and a multiple of 6?
To find the multiples of 4 and 6 within the given spinner, we need to find the numbers that are common multiples of both 4 and 6. The common multiples of 4 and 6 are numbers that are divisible by both 4 and 6, which are multiples of the least common multiple of 4 and 6.
The least common multiple of 4 and 6 is 12. Therefore, the numbers on the spinner that are multiples of both 4 and 6 are 12.
Since there is only one number on the spinner that is a multiple of both 4 and 6, the probability of spinning a number that is a multiple of 4 and 6 is 1 out of 13.
Therefore, the probability of spinning a result that is a multiple of 4 and 6 is 1/13.