When you finish the table, consolidate the information to the chart below that. These are the theoretical probabilities of the sum of 2 dice. Two entries have been done to get you started.
Sum of the dice |
List of outcomes favorable to sum |
Number Of Outcomes Favorable To Sum |
Theoretical Probability (of the sum of 2 dice) |
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2 |
1,1 |
1 |
136=0.028 |
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3 |
1,2,2,1 |
2 |
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4 |
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5 |
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6 |
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7 |
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8 |
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9 |
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10 |
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11 |
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12 |
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sum of the dice | list of outcomes favourable to sum | number of outcomes favourable to sum | Theoretical probability | |
2 | (1,1) | 1 | 1/36 | 0.0278 |
3 | (1,2),(2,1) | 2 | 1/18 | 0.0556 |
4 | (1,3),(2,2),(3,1) | 3 | 1/12 | 0.0833 |
5 | (1,4)(2,3),(3,2),(4,1) | 4 | 1/9 | 0.1111 |
6 | (1,5),(2,4),(3,3),(4,2),(5,1) | 5 | 5/36 | 0.1389 |
7 | (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) | 6 | 1/6 | 0.1667 |
8 | (2,6),(3,5),(4,4),(5,3),(6,2) | 5 | 5/36 | 0.1389 |
9 | (3,6),(4,5),(5,4),(6,3) | 4 | 1/9 | 0.1111 |
10 | (4,6),(5,5),(6,4) | 3 | 1/12 | 0.0833 |
11 | (5,6),(6,5) | 2 | 1/18 | 0.0556 |
12 | (6,6) | 1 | 1/36 | 0.0278 |
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