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}

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}

laughoutloud · Answer

I think it's A but I'm not sure?

jim_thompson5910 · Answer

what numbers are in this set

A = {the sum of the number cubes is even}

laughoutloud · Answer

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

jim_thompson5910 · Answer

correct

jim_thompson5910 · Answer

how about this set B = {the sum of the number cubes is divisible by 3}

laughoutloud · Answer

I wasn't sure on this part does it mean the sums in set A that are divisible by 3?

jim_thompson5910 · Answer

no just sums of the two number cubes (aka dice)

jim_thompson5910 · Answer

which sums are divisible by 3?

laughoutloud · Answer

Oh ok so {3, 6, 9, 12}??? I think

jim_thompson5910 · Answer

yep

jim_thompson5910 · Answer

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

jim_thompson5910 · Answer

combine the two sets to form a bigger set

toss out any duplicates

laughoutloud · Answer

ok so I would just put them together? and the would be answer A right?

jim_thompson5910 · Answer

yes combining them and removing duplicates gives {2, 3, 4, 6, 8, 9, 10, 12}

laughoutloud · Answer

THANK YOU SO MUCH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

jim_thompson5910 · Answer

you're welcome