Chapter 9.1, Problem 4QR

Solution

To state: The number of possible totals when two dice are rolled.

The number of possible totals when two dice are rolled is 11.

Given information:

The given statement says to give the number of possible totals when two dice are rolled.

Explanation:

The possible outcomes when two dice are rolled:

  $\begin{array}{l}\left(1,1\right),\left(1,2\right),\left(1,3\right),\left(1,4\right),\left(1,5\right),\left(1,6\right)\\ \left(2,1\right),\left(2,2\right),\left(2,3\right),\left(2,4\right),\left(2,5\right),\left(2,6\right)\\ \left(3,1\right),\left(3,2\right),\left(3,3\right),\left(3,4\right),\left(3,5\right),\left(3,6\right)\\ \left(4,1\right),\left(4,2\right),\left(4,3\right),\left(4,4\right),\left(4,5\right),\left(4,6\right)\\ \left(5,1\right),\left(5,2\right),\left(5,3\right),\left(5,4\right),\left(5,5\right),\left(5,6\right)\\ \left(6,1\right),\left(6,2\right),\left(6,3\right),\left(6,4\right),\left(6,5\right),\left(6,6\right)\end{array}$

Now the total possible sums are: $2,3,4,5,6,7,8,9,10,11,12$

Therefore, the number of possible totals when two dice are rolled is 11.