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 ∩ B.
{3, 6, 9, 12}
{2, 4, 6, 8, 10, 12}
{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
{0,2,4,6,8,12}

Answer 1

2 number cubes. 
Let A = {the sum of the number cubes is even}

Let B ={the sum of the number cubes is divisible by 2}

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

A ∩ B refers to intersection of events where A intersect B. Intersection refers to the sums that are common between that two events. These sums are both even and divisible by 2.

The outcomes in A ∩ B are {2, 4, 6, 8, 10, 12}.

All even numbers are divisible by 2.