Question

Roger 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 5}. List the outcomes in A ∪ B.

Answer 1

The answer is A ∪ B = {2, 4, 5, 6, 8, 10, 12}

A = {2, 4, 6, 8, 10, 12}
B = {5, 10}

A ∪ B. The union of two sets is everything in both sets. So we will combine the outcomes in set A and set B. Since in set B 10 is an even number, we will just add number 5 in A ∪ B.

A ∪ B = {2, 4, 5, 6, 8, 10, 12}