Question

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 3 or a multiple of 2?

Answer 1

To find the probability of getting a multiple of 3 or a multiple of 2, we first need to find the multiples of 3 and 2 among the numbers 1-14:

Multiples of 3: 3, 6, 9, 12
Multiples of 2: 2, 4, 6, 8, 10, 12, 14

Note that 6 and 12 are multiples of both 3 and 2. We only want to count these once, so we'll remove one of the 6s from our list:

Multiples of 3 or 2: 2, 3, 4, 6, 8, 9, 10, 12, 14

There are a total of 9 numbers on our list, so the probability of getting a multiple of 3 or 2 is:

9/14 or approximately 0.643