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A deck of 52 cards are well-shuffled, and split into 13 piles of 4 cards each. Label these piles as A, 2,...,10, J, Q, K.

A deck of 52 cards are well-shuffled, and split into 13 piles of 4 cards each. Label these piles as A, 2,...,10, J, Q, K. Take first card from pile 'K', and next card from pile 'X' where X is the value of the previous card taken. What is the probability that all cards are removed ?

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