Question: Here is the sample space for rolling two fair dice and summing the values. + 1 2 3 4 5 6 1 2 3 4
Here is the sample space for rolling two fair dice and summing the values.
| + | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Use the sample space to find the following probabilities.
- What is the probability of two rolls with even numbers given the sum of 10
- What is the probability of an odd number given a sum of 6
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