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 4 or a multiple of 6?

Question

Answer
Attempt 1 out of 3

Answer 1

First, we need to identify the multiples of 4 and 6 within the numbers 1 through 14.

Multiples of 4: 4, 8, 12
Multiples of 6: 6, 12

We see that 12 is a common multiple of both 4 and 6, so we do not want to double count it.

Therefore, the numbers that are multiples of 4 or 6 are: 4, 6, 8, 12.

There are a total of 4 favorable outcomes out of 14 possible outcomes, so the probability is 4/14 or 2/7.