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American Focus > Blog > Tech and Science > Why 52 Cards Is the Perfect Number for Poker—Mathematically
Tech and Science

Why 52 Cards Is the Perfect Number for Poker—Mathematically

Last updated: January 13, 2026 3:35 am
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Why 52 Cards Is the Perfect Number for Poker—Mathematically
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When it comes to playing poker, the number of cards in a deck is crucial. A recent mathematical discovery has shed light on the perfect number of cards for playing this popular card game – and it’s not what you might expect. According to computer scientist Christopher Williamson, the traditional 52-card deck is almost perfect for playing poker.

In games like Texas Hold’em, where players wager on the best five-card hand they can make, the probability of certain hands occurring is essential. For example, a full house beats a flush because it is less likely to happen. In short-deck poker, a variant that removes cards ranked 2 through 5, the probabilities of certain hands shift due to the reduced number of cards in each suit.

Williamson’s research found an interesting paradox that can occur when the number of cards per suit changes. In short, the ideal number of cards in each suit is 13, which is the standard number in a traditional deck. This number ensures that the showdown ranking matches the standard ranking for all hands except for a single high card.

While the traditional 52-card deck is based on historical significance, the mathematical justification for having 13 cards in each suit adds a new layer of understanding to the game. To maintain alignment between hand rankings and showdown probabilities, a deck with 23 cards in each suit would be required – nearly twice the standard amount.

Professional poker player Nikita Luther finds Williamson’s findings fascinating, noting how the variables interact with each other to create a complex game. Luther acknowledges the depth of complexity in poker variants beyond Texas Hold’em, emphasizing the endless possibilities for exploration and understanding within the game.

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In conclusion, the perfect number of cards for playing poker is 13 in each suit, as determined by mathematical analysis. This research provides valuable insights into the dynamics of the game and showcases the intricate balance between hand rankings and probabilities. As players continue to explore the nuances of poker, the traditional 52-card deck remains a timeless foundation for this beloved card game.

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