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

Can anyone help me with this one???

Answer 2

Is there any answer choices?

Answer 3

A ∪ B is the union between sets A and B. In other words, simply list all the values that are in set A, set B, or both (make sure to only list each possible value once).

Starting off with A {the sum of the number cubes is even}, this event occurs when you have an odd + odd dice or an even + even dice combo. you can start with 2 (the sum of 1 + 1), 4 (the sum of 2 + 2), etc. keep going until you get all possible values.

for set B {the sum of the number cubes is divisible by 5}, start with 5 (the sum of 1 + 4, 4 + 1, 2 + 3 or 3 + 2), and list all the possible sums that are divisible by 5.

finally, combine the two lists you made, making sure to remove duplicate values.

here's a chart of the sums of two dice rolls, for reference: https://andymath.com/wp-content/uploads/2019/04/Dice-chart.jpg