Question

Pam is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is even}, and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∪ B A. {2, 3, 4, 6, 8, 9, 10, 12} B. {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} C. {2, 4, 6, 8, 10, 12} D. {6, 12}

Answer 1

So, all the possible outcomes are number 1-12.


A ∪ B is a union of A and B, that is all the elements that are either in A, or in B or in both (but then are listed only once).

A means all the even numbers and B means all the number divisible by 3 (so 3,6,9,12). Out of those 6 and 12 are also even, so essentially the answer will be all even numbers plus 3 and 9. So the answer is A. {2, 3, 4, 6, 8, 9, 10, 12}!

Answer 2

The answer is letter A. {2, 3, 4, 6, 8, 9, 10, 12}

 A ∪ B indicates the union of A and B.
A = {2, 4, 6, 8, 10, 12}
B = {3, 6, 9, 12}
 A ∪ B =  {2, 3, 4, 6, 8, 9, 10, 12}

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