I am implementing a little Black Jack game in C# and I have the following problem calculating the player's hand value. Aces may have a value of 1 or 11 based on the player's hand. If the player has three cards and one ace, then if the sum of the cards is.
- 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).
- CVCX Blackjack Calculators. Twelve Blackjack calculators can be found below to answer various 'what if' questions. Win Rates and Standard Deviations used in these calculators can be found in the CVCX Online Viewer, in any good simulator or in some cases Blackjack Attack Chapter 10. Most of the methodologies used are either in or based on formulae in Don Schlesinger's Blackjack Attack.
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.
The Blackjack house edge calculator will help you see your and the casino odds in the specific game you are playing.
- 1. Select the Rules of the game
- 2. Press 'Calculate' button
In the first table you can see your odds according to dealer up card. The second table demonstrates the dealer probability of having a different outcome depending on the first card.
You may also try our other blackjack tools created for counting odds, generating strategies and training players.
Blackjack Hand Odds Calculator
| Dealer upcard | Player Odds |
|---|---|
| 2 | 9.027 % |
| 3 | 12.215 % |
| 4 | 15.682 % |
| 5 | 19.393 % |
| 6 | 22.713 % |
| 7 | 14.318 % |
| 8 | 5.741 % |
| 9 | -4.118 % |
| 10 | -17.331 % |
| A | -37.161 % |
| Total | -0.886 % |
Poker Hand Calculators
Probability of outcome of dealer's hand
| Dealer upcard | Probability of outcome of dealer's hand | ||||||
|---|---|---|---|---|---|---|---|
| Bust | 17 | 18 | 19 | 20 | 21 | Blackjack | |
| 2 | 35.4 % | 13.1 % | 13.7 % | 13.2 % | 12.6 % | 12 % | 0 % |
| 3 | 37.5 % | 12.6 % | 13.3 % | 12.7 % | 12.3 % | 11.7 % | 0 % |
| 4 | 39.6 % | 12.3 % | 12.6 % | 12.3 % | 11.8 % | 11.3 % | 0 % |
| 5 | 41.7 % | 11.9 % | 12.4 % | 11.9 % | 11.3 % | 10.9 % | 0 % |
| 6 | 43.7 % | 11.5 % | 11.5 % | 11.5 % | 11.1 % | 10.6 % | 0 % |
| 7 | 26.2 % | 36.6 % | 13.9 % | 7.9 % | 7.9 % | 7.4 % | 0 % |
| 8 | 24.4 % | 13 % | 35.7 % | 13 % | 7 % | 7 % | 0 % |
| 9 | 22.9 % | 12.1 % | 11.9 % | 34.9 % | 12.1 % | 6.1 % | 0 % |
| 10 | 21.2 % | 11.3 % | 11.2 % | 11.3 % | 33.8 % | 3.5 % | 7.7 % |
| A | 13.9 % | 5.7 % | 14.4 % | 14.4 % | 14.4 % | 6.7 % | 30.5 % |
| Total | 28.5 % | 13.4 % | 14.2 % | 13.6 % | 18 % | 7.5 % | 4.7 % |
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