There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the result is a multiple of 6 and a multiple of 4?

Answer 1

A number is a multiple of both 6 and 4 if it is divisible by the least common multiple of 6 and 4, which is 12.

The numbers that are multiples of 12 on the spinner are 12 and 24. However, since the spinner only goes up to 14, only 12 is a possibility.

Therefore, there is only 1 favorable outcome out of 14 possible outcomes.

The probability of spinning a number that is a multiple of both 6 and 4 is 1/14.