math problem

Question

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.

Answer 1

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}.