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 2 or a multiple of 3?

11/14

Step-by-step explanation:

Firstly, to solve this problem, what we do is to know the number of multiples of 2 and the numbers of multiples of 3 between 1 and 14.

For 2, we have; 2, 4, 6, 8, 10, 12 and 14

For 3, we have: 3,6,9 and 12

The probability of the result being a multiple of 2 is 7/14 = 1/2

The probability of the result being a multiple of 3 is 4/14 = 2/7

The probability of the result being a multiple of 2 or 3 is simply calculated by adding both probabilities: 2/7 + 1/2 = 11/14