Probability Of Blackjack With One Deck

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In the game of blackjack played with one deck, a player is initially dealt 2 different cards from the 52 different cards in the deck. A winning 'blackjack' hand is won by getting 1 of the 4 aces and 1 of 16 other cards worth 10 points. The two cards can be in any order. Find the probability of being dealt a blackjack hand. What approximate percentage of hands are winning blackjack hands? Many believe that Blackjack, or 21, or twenty-one is the most popular casino game in the world. Blackjack is also the most researched game ever. It is also the only casino game with fluctuating odds (or probability). The winning chance changes with the composition of the deck. This is more about blackjack mathematics than anything else.

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Introduction

What is the probability of getting blackjack with one deck

To use the basic strategy, look up your hand along the left vertical edge and the dealer's up card along the top. In both cases an A stands for ace. From top to bottom are the hard totals, soft totals, and splittable hands. There are two charts depending on whether the dealer hits or stands on soft 17.

Other basic strategy rules:

Blackjack Probability Chart

  • Never take insurance or 'even money.' The house edge on insurance is 5.9%, based on one deck.
  • If there is no row for splitting (fives and tens), then look up your hand as a hard total (10 or 20).
  • If you can't split because of a limit on re-splitting, then look up your hand as a hard total.

Internal Links

Probability Of Blackjack With One Deck

Blackjack main page.

What Is The Probability Of Getting Blackjack With One Deck

Blackjack Appendix 3A lists exceptions to the single deck, dealer stands on soft 17, basic strategy based on the exact composition of the player's hand.

One Deck One Hand Blackjack

Blackjack Appendix 3C lists exceptions to the single deck, dealer hits on soft 17, basic strategy based on the exact composition of the player's hand.

Blackjack Probability Tables

Boss Media Appendix 1 has a composition dependent basic strategy for single-deck, dealer stands on soft 17, blackjack.