# why is this set of events exhaustive? - ring lands on the number 1 ring lands on a prime number ring lands on and even umber greater than 3

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nathanshields | Certified Educator

Not sure what the set of possible outcomes is, but it looks like you're throwing a ring onto numbers 1, 2, ...., 8. I'm guessing the highest number is 8 because 9 is odd and not prime.

Start with all possibilities:

1 2 3 4 5 6 7 8

Now take out "ring lands on the number 1"

X 2 3 4 5 6 7 8

Now take out "ring lands on a prime number". Don't forget 2 is prime (only divisible by 1 and itself).

X X X 4 X 6 X 8

Now take out "ring lands on an even number greater than 3"

X X X X X X X X

So we have all outcomes accounted for within your set of events....it's exhaustive.