Question

You pick a card, roll a die, and find the sum. How many different sums are possible?

Answer 1

Answer:

14

Step-by-step explanation:

We know that the lowest number on a die is 1 and the lowest number on a card is 2. We can add these two together to find our first sum, 3.

Next, we will add our highest numbers; 6 + 10, which equals 16. Instead of solving for everything in between, since we have found the lowest and the highest and we are only looking for different sums, we can do the following:

16 - 2

You may be wondering why we would do 16 minus two instead of three. This is because three is included as one of the different combinations. The result of this formula is 14, so we know that there are 14 different combinations.

Answer 2

Sums between 5 and 12 or possible. This 8 total possible sums.

We have the option of 4, 5, or 6 for the one card we choose.

We also have the option of 1, 2, 3, 4, 5, or 6.

If we take the lowest option of each we get 4+1=5

If we take the highest totals of each option, we get 6+6=12.

Each value in between are also possible.