A spinner has regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3?

Question

Okay so I am lost. I understand that the probability of an event is

the # of ways an event can occur over the total # of possible outcomes.

I need some explaining done. Please

Answer 1

Would the total possible outcomes be 17?

The number of evens would be 10 and the multiply of 3 is 7. So 10 and 7 together is 10.

Answer 2

List the numbers from 1 to 21 which are either even or multiples of 3:
2,3,4,6,8,9,10,12,14,15,16,18,20,12

I count 14, not 17.
Prob(event as stated) = 14/21 = 2/3

Answer 3

Ok. I counted some numbers twice. I needed to write the numbers out like you did. Thanks