# Probability in a deck of Spanish cards

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.

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 $$1/52$$.