Blackjack Hand Calculator
Blackjack odds calculator. See -help for an overview of options. When printing strategy tables, the columns are the dealer's first card and go 2-9,J,A. Rows are your cards; 1 represents ace and 0 represents 10,J,Q,K (sometimes collectively referred to as Js in the rest of these docs/code).
I vaguely remember trying this out and, as Gordon has said, it's easier to start with vs 10 and vs 9. Personally I worked out all the possible hands a player could make (initially ignoring splits) and then worked out their chances against the dealer's upcard. I then looked at whether each hand should draw, stand or double. (As I'm based in the UK I initially didn't look at peeking, but that's a factor you need to consider, e.g. when looking at the probabilities when drawing the next card.)
I didn't get this far but for splitting I guess you'd then look at say (8-8) and rework the calculation assuming a number of 8's (i.e. resplits) have already been removed from the deck. I doubt if anyone then looks at the second hand being split knowing what cards the first hand used! Spltting Aces is obviously easier as they can either get another Ace (which resplits) or one card only.
There is a problem with all Blackjack advantage calculators (prior to this one). They're inaccurate. They provide what is called top of the deck basic strategy advantage. That is the advantage for the first hand after a shuffle. They ignore the cut card effect. I won't go into an explanation here, but it has long been known that the use of a cut card alters advantage. The calculations here take into account this effect. Another problem is that calculators tend to ignore the fact that rules inter-react. That is, rules affect each other. So, you cannot simply add together a fixed value for each rule to come up with a total advantage. This calculator takes into account most of these inter-reactions.
Below, you will find a set of common rules. Below the rules, you will find six values. The values represent the player advantage as a percent. For example, -.5 means you have a .5% disadvantage given the selected rules. That is, for every $100 you bet at the start of the round, you will lose 50 cents. You will also note that some of the numbers are positive indicating an advantage for the player. Alas, such games are now extremely rare in casinos. The Single-Fixed column provides numbers for single-deck games where a fixed number of rounds are dealt. All other columns assume that a cut-card is used.
You can see that Single-Cut is worse than Single-Fixed. Only two decimals are provided in the Single-Cut column because the edge varies more in single-deck than in multi-deck according to the number of rounds.Simply change the rules checked to calculate new numbers.
After you have your next card, input the card you've been dealt into the calculator. Stand - Stand on your Blackjack game and you're done with the hand. Split - Select split on the Blackjack game you're playing, then click Deal Again on our Strategy Calculator. You can then start again with your two new hands you have after splitting. Our handy blackjack hand calculator allows you to enter the dealers card as well as the two cards you have been dealt. It then calculates your best possible option for winning the hand and lets you know if you should Hit, Stand, Double or Split.
- D11 (nDAS) – Double on 11 only. Calculated with no double after split as D11 is usually found in nDAS games.
- D10 (nDAS) – Double on 10 and 11 only. Calculated with no double after split as D10 is usually found in nDAS games.
- D9 (DAS) – Double on 9, 10, and 11 only. Calculated with double after split as D9 is usually found in DAS games.
- ES (S17) – Early Surrender in a dealer stands on soft-17 game. Early Surrender does not exist in single-deck games except in my dreams.
- BJ pays 6:5 – A scam.
Poker Hand Calculator Odds
Blackjack Odds are calculated via simulation. See Blackjack Odds Simulators for information on high-speed simulators.