Amy is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd}, and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∪ B.

Question

mathmate · Answer

The possible sums of two number cubes $\in \Omega =\{{2,3,4,5....11,12}\}$ A={3,5,7,9,11} ..... odd sum B={3,6,9,12}...... outcome divisible by 3 So what is A$\cup$B ? See following link for an explanation of set operators. http://www.mathsisfun.com/sets/venn-diagrams.html

vera_ewing · Answer

Ohhh so this {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} is not the answer?

mathmate · Answer

1 is not a possible outcome if we are looking for the sum of the number cubes.
See my previous post for help.

mathmate · Answer

No, this is the set of possible sums when we throw two number cubes!  There are conditions to A and B, and you need to find $A\cup B$.

vera_ewing · Answer

Oh then it would be {3, 5, 6, 7, 9, 11, 12} right?

mathmate · Answer

Yes,  {3, 5, 6, 7, 9, 11, 12}  is A $\cup$ B