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.

{2, 3, 4, 6, 8, 9, 10, 12}

{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

{2, 4, 6, 8, 10, 12}

{6, 12}

Answer 1

@zepdrix

Answer 2

@UnkleRhaukus

Answer 3

The union of A with B is the set that contains all the elements that are in set A, as well as all the elements in set B

Answer 4

Okay, I see.

Answer 5

What are the elements in set A; the sum is even ?

Answer 6

2,4,6?

Answer 7

yeah, but you roll two dice, so there are some more possible outcomes that are even

Answer 8

2,4,6,8, 10, 12?

Answer 9

good, so set A = {2,4,6,8, 10, 12}

Now
What are the elements in set B; the sum is divisible by three ?

Answer 10

3,6,12?

Answer 11

and 9.

Answer 12

ok yep,
B = {3,6,9,12}

Answer 13

Now lets take the union

A ∪ B = {2,4,6,8, 10, 12} ∪ {3,6,9,12}
= { }

(the union contains all the elements in both sets,
but with out repeating and element )

Answer 14

So, Its the first one? ;o

Answer 15

any*

Answer 16

um, yep.

Answer 17

Thank you!

Answer 18

if instead you were looking for the intersection of A with B

A ∩ B then it is just the set of elements that are in both sets

= {2,4,6,8, 10, 12} ∩ {3,6,9,12}
= { 6, 12 }