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

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

Olpers  Aug 26, 2018

#1
+343
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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
+343
+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