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