question archive 6) A pair of two distinct dice are rolled six times

6) A pair of two distinct dice are rolled six times

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6) A pair of two distinct dice are rolled six times. Suppose none of the ordered pairs of values (1, 5), (2, 6), (3,
4), (5, 5), (5, 3), (6, 1), (6, 2) occur. What is the probability that all six values on the ?rst die and all six values on
the second die occur once in the six rolls of the two dice?

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