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The odds are: 1 of 36

1-1, 1-2, 1-3, 1-4, 1-5, 1-6, 2-1, 2-2, 2-3, 2-4, 2-5, 2-6, 3-1, 3-2, 3-3, 3-4, 3-5, 3-6, 4-1, 4-2, 4-3, 4-4, 4-5, 4-6, 5-1, 5-2, 5-3, 5-4, 5-5, 5-6, 6-1, 6-2, 6-3, 6-4, 6-5, 6-6

Each die is independent from the other (what you roll with one die does not affect what you can roll with the other). This means that each die can land on any number from 1-6. The sample set CAN involve duplicates, meaning a 1-2 is a DIFFERENT result than 2-1.

Since each die is independent from the other, we calculate the probability of each event happening, then multiple these probabilities by each other. The probability of each event is 1/6, or 0.167, so the changes of rolling double six is 0.0279 or 3%

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