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There is only one 4 of each suit in a deck of cards, so there are a total of 4 fours in the deck.
The total number of cards in the deck is 52.
Therefore, the theoretical probability of picking a 4 from the deck of cards is:
4/52
This simplifies to:
1/13
So, the theoretical probability of Lucy picking a 4 from the deck of cards is 1/13.