Two fair six-sided dice are rolled. The sum is known to be a prime number. The table shows all \(36\) equally likely ordered outcomes; each cell contains the sum.
| Die 1 \ Die 2 | 1 | 2 | 3 | 4 | 5 | 6 |
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| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
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| 2 | 3 | 4 | 5 | 6 | 7 | 8 |
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| 3 | 4 | 5 | 6 | 7 | 8 | 9 |
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| 4 | 5 | 6 | 7 | 8 | 9 | 10 |
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| 5 | 6 | 7 | 8 | 9 | 10 | 11 |
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| 6 | 7 | 8 | 9 | 10 | 11 | 12 |
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What is the probability that
at least one die shows \(2\), given that the sum is prime?
Select one option.