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I have a deck of Spanish cards. (It would work the same with poker decks).

If I ask a person to give me a number $X$ and to another to give me a card type $T$ In a given permutation of the decks, I have shuffled them previously.

What is the probability to have guessed the right position and card type?

Example: Position $X=12$ and card type "$5$ of hearts" and I have shuffled the identity just once.

My thinking: I change card types identifying then uniquely by number, cause they won't repeat. But I don't know if I should really have into account the permutation or just try to calculate the probability, in that case the prob would be $\frac{1}{52}$. Any help would be great.

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There are $52$ equally likely positions in which a given card could be. Therefore, the probability that a given card $T$ is in position $X$ is simply $1/52$.

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