Question

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

A ∩ B = {12}

Explanation:

What are the possible even outcomes?

Assuming the number cubes are 1-6,

our possible outcomes run from 2-12, but we are looking for even rolls, so A={2,4,6,8,10,12}.

How many of those are divisible by 3? B={12}.

We are looking for what is in common between these, so

A ∩ B= {12}