probability help?

Stephanie 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.
{1,3,5,7,9,11}
{1,3,9}
{3,9}
{3,9,12}

Question

probability help?


Stephanie 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. 
	{1,3,5,7,9,11}
	{1,3,9}
	{3,9}
	{3,9,12}

mathmate · Answer

Two number cubes, each numbered 1 to 6.
So the possible outcomes are {2,3,4,5,6,7,8,9,10,11,12}
Possible odd outcomes are therefore A={3,5,7,9,11}
Possible outcomes divisible by three are B={3,6,9,12}
A $\cap$ B  is a set of elements each of which is found in both sets A and B.
Your turn to continue...

supersquidsisters · Answer

@mathmate ooh!! i get it now!! so would it be {3, 9} ??

mathmate · Answer

Yes, because 3 and 9 appear in both sets A and B, and no other element does.

supersquidsisters · Answer

@mathmate thank you so much!!

mathmate · Answer

You're welcome!   :)