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Mathematics of Blackjack - Odds and Probabilities

Want to take your Blackjack game to the next level? The best way to do that is by learning a little about the mathematics behind the game. Learning about odds and probabilities is the foundation of basic Blackjack strategy, and an invaluable aid to betting and knowing when to hit, stay, fold or double down.

Blackjack Basic Strategy

Basic strategy for Blackjack was first outlined in Edward Thorp's 1962 book Beat the Dealer. Thorp’s strategy used the mathematics of Blackjack to significantly reduce the house advantage by giving the player a list of scenarios and outlining the best possible moves to make. The book also goes into the basics of card counting, which helps advanced players further refine the probabilities behind a potential move.

Blackjack Probabilities

Looking at the probabilities behind some basic Blackjack scenarios can be useful for developing a better understanding of the game. In a standard single deck game, players have:

  • A 1.20663% chance of drawing a natural blackjack on their initial hand
  • A 4.82654% chance of drawing a blackjack from their first two cards
  • A 10.25641% chance of drawing a 20 from their first two cards
  • A 6.03318% chance of drawing a 19 from their first two cards
  • A 27.60180% of drawing either an 18, 19 or 20 with their first two cards

Try Your Luck at Dover Downs Hotel & Casino

Once you have read up on basic strategy and examined some of the mathematics behind it, the best way to put your newfound knowledge to the test is at the Dover Downs Hotel & Casino! Our AAA four-diamond rated facility is the perfect place to win big at some of the best Blackjack tables around.