Question

Todd 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 2}. List the outcomes in A n B?

Answer 1

First, write what you are able to determine from the given information.

Answer 2

You named two important pieces of information
-there are 2 die
-in set B, the sum of the die rolled must be divisible by 2.

Answer 3

-Also, in set A, the sum of the die rolled must be even

Answer 4

-So fill in the possible sums for set A = {________} and set B = {______}. Fill in the blanks.

Answer 5

dice not die

Answer 6

If you roll a pair of dice, which resulting numbers are even?

Answer 7

The possible sums of the dice roll are 2, 4, 6, 8, 10, and 12. That is set A.

Answer 8

Well in this type of problem, you will want to write out set A and Set B. You are correct that the possible sums of the dice rolls that are divisible by 2 are 2,4, 6, 8, 10, and 12. This is set B.

Answer 9

The question asks that you find the intersection (n) of the two sets. Do you know the rule to do that?

Answer 10

Now that you wrote your sets, use the following RULE to solve:

Only the numbers that exist in each set = the numbers of the final intersecting set

Answer 11

So what numbers appear in both set A and set B?

Answer 12

That is right...that is your final intersecting set, A n B.

Answer 13

Good job!!

Answer 14

Sure.

Answer 15

Yes. One moment.

Answer 16

First label the axes
-the x-axis represents n
-the y-axis represents a

Answer 17

-so each ordered point on the graph represents (n, a)