A card game probability

Take a card deck with 52 cards. Pick cards one by one and compute the
cards by ace, two, three,..., jack, queen, king, ace,..., king, ace,
...., king, ace, ..., king. What is the probability that at least once
you turn a card of the same value as you say aloud? Here ace=1,
jack=11, queen=12, king=13.

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