Question

Please help..
Jeremy 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.

{6, 12}

{3, 6, 9, 12}

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

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

Answer 1

@phi @jigglypuff314

Answer 2

you can make a table to show what possible result you will get from rolling 2 dice.

Across the top, label the columns 1,2,3,4,5,6
down the left side label the rows 1,2,3,4,6,5

put in each "box" the sum of the row and the column. This is the sum of the dice
color all of the boxes that have an even sum.

next, using a different color, shade in the boxes where the sum is evenly divisible by 3

List the outcomes in A ∩ B.
that means, pick out all the boxes that are colored both ways.