A pair of fair, standard dice are rolled. What is the probability the sum of the dice is 5?

Olpers
Aug 26, 2018

#1**+3 **

We can make a chart for all the sums:

2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
---|---|---|---|---|---|---|---|---|---|---|

1 | 2 | 3 | 4 | 5 | 6 | 5 | 4 | 3 | 2 | 1 |

(The first row is the sum, and the second is the number of ways to get that sum)

So as you can see in the chart, the possibilities for rolling a sum of \(5\) is \(4\), and the number of possibilities for any sum is \(36\). This means that your probability would be \(\frac{4}{36} = \frac{1}{9}\).

- Daisy

dierdurst
Aug 26, 2018

#1**+3 **

Best Answer

We can make a chart for all the sums:

2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
---|---|---|---|---|---|---|---|---|---|---|

1 | 2 | 3 | 4 | 5 | 6 | 5 | 4 | 3 | 2 | 1 |

(The first row is the sum, and the second is the number of ways to get that sum)

So as you can see in the chart, the possibilities for rolling a sum of \(5\) is \(4\), and the number of possibilities for any sum is \(36\). This means that your probability would be \(\frac{4}{36} = \frac{1}{9}\).

- Daisy

dierdurst
Aug 26, 2018