Assume that you are rolling two dice.

In how many ways can you roll a sum less than 4?

Would the answer be 8 ways?

1, 1

1, 2
2, 1

I only see three ways.

Oh, I see what you mean. I was thinking about multiplication.

Thank you

You're welcome.

To find the number of ways you can roll a sum less than 4 with two dice, we can list all the possible outcomes.

First, let's identify the possible outcomes for each die. A standard die has six faces, numbered 1 to 6. Therefore, the possible outcomes for each die are:

Die 1: {1, 2, 3, 4, 5, 6}
Die 2: {1, 2, 3, 4, 5, 6}

To find the sum of the two dice, we add the outcomes for each die. Now, let's find the sums less than 4:

1 + 1 = 2
1 + 2 = 3
2 + 1 = 3

There are only three combinations that result in a sum less than 4. Therefore, the correct answer is not 8, but 3 ways to roll a sum less than 4.