Basic Card Odds and Probabilities

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While playing Poker or Blackjack is unquestionably gambling, there is a certain element of skill involved. Having a good head for mathematics and a strong grasp of the probabilities involved will give you a big leg up when playing card games. You may think that there is still an element of luck involved with most games but over longer periods it really pays to know your maths. It’s for that reason we’ve decided to list out some of the more interesting statistics and probabilities in card games below:

With 52 cards in a deck, the odds of getting any single card is 1.9%, a card of a set number is 7% and of a set suit is 25%. These numbers shift and change as the game goes on, but that’s the approximate odds.

The odds of getting an ace are 4/52, the odds of getting a 10 value card are 16/52, which (after some more complicated figures) breaks down to a Blackjack popping up one hand in every 21. Which is a nice little irony.

With the face cards all equalling ten and being strong in most games, it’s worth knowing that the odds of getting one is about 30.7% (obviously, this adjusts depending on what’s already been dealt) so if you’re holding out for a ten, you could well get lucky!

When you’re playing poker, and more specifically Texas Hold ‘em, the Royal Flush is the ultimate trump and the odds of getting one are pretty long, 30,939:1 to be exact. If you’re playing other games, the odds can be even longer! If you’re playing a game with just 5 cards, they shoot up to 649,739:1!

Because of the sheer number of variations available, a deck of cards number of possible permutation is 52 factorial (52x51x50x49, etc.) and means that the odds of getting the same order in a properly shuffled deck of cards is pretty unlikely.