There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?
Since the spinner has 12 equal areas, each outcome has a probability of 1/12.
A number is a multiple of 6 if it is divisible by 6, and a number is a multiple of 4 if it is divisible by 4.
The numbers that are multiples of 6 and multiples of 4 are the numbers that are multiples of the least common multiple of 6 and 4, which is 12.
The numbers that are multiples of 12 and therefore satisfy the condition are 12.
Therefore, the probability of spinning a number that is a multiple of 6 and a multiple of 4 is 1/12.