Unlucky 13 in the dice

Discrete Mathematics Level pending

Mr. A has 3 fair dice: one of them has 8 faces, numbered 1 to 8. the other has 12 faces numbered 1 to 12 and the other has 20 faces numbered 1 to 20. What is the probability that when they are all thrown together, a sum which is a multiple of 13 shows up?

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