The chance is 1/36.
(There are 36 possible combinations for two 6-sided dice, but only 18 separate combinations when the dice are not considered seperately.)
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The probability of rolling a six on either (or both) die is 11/36.
The probability of rolling two prime numbers on a standard pair of dice is 1 in 4, or 0.25. Take the probability of rolling a prime on one die, 3 in 6, or 1 in 2, or 0.5, and square it.
1/6
If you roll a die often enough, it is a certainty. If you roll a fair die just twice, the probability is 1/36.
The probability is 11/36.