Blackjack Effect Of Removal
2021年5月25日Register here: http://gg.gg/upnf4
Betting Correlation – BC is defined as the correlation between card point values and the effect of removal of cards. It is used to predict how well a counting system predicts good betting situations and can approach 1.00 (100% correlation.) BC is particularly important in shoe games (six or eight decks.). The purpose of the software is to derive expectations, effects of removal, and optimal linear strategies based on effects of removal tables. Multiple player hands are allowed. Sum 03 BJF 97 John Imming. Real World Casino #1: Practice Casino. Page 1 - Health benefits of black jack By:Asunta Simoloka and Prof Rashid Bhikha July 2016 Black jack vegetable is known botanically as bidens pilosa and in South Africa local names include muxiji and gewone knapseherel. Like many indigenous African vegetables, black jack has an impressive.
*Blackjack Effect Of Removal Procedure
*Blackjack Effect Of Removal SolutionThere is a certain amount of mystic and mythology that surrounds the casino game of blackjack and this is even demonstrated by its regular appearances in Hollywood films. Movies such as 21 where the young smart students try to beat the house and to a certain extent succeed In books and film it’s often used as a game that show players hitting huge winning streaks and often the game is used as the example of how casino players can indeed beat the house. But is any of this actually true? We know that movie makers and authors try to be a little ‘flexible’ with the truth to make a good story a great story, so the question is, can the house be beaten when playing blackjack? Beat the Dealer with the Effect of Removal The reality is however somewhat different. However Edward O Thorp provided the only real way to in fact beat the dealer in his book on card counting ‘Beat the Dealer, a Winning Strategy for the game of 21’. This of course led to other books, and later the film of how it was used to beat the casino. The book explains that in some situations where the shoe was rich in 10’s blackjack players could expect a positive return. It’s a complex system but the important factor in most card counting systems, the effect of removal, is a part of it. The effect of removal is the basis of many systems and it means that in general it’s good for the player to take low cards from the deck, while keeping all high cards. The easiest system in which this is used is the ace/five system, however there are many more complex card counting and card removal systems. Card Counting Systems Difficulties A perfect card counting system needs to have two things in place. It would need to adapt perfectly to the shoe at any given time, and it would allow the player to bet the maximum amount only when they could expect a positive outcome from the hand. Simple strategies do not change the way in which the game is played, they only allow for changes in the bet size, as optimal blackjack strategy should be played at all times. The bet size and when the bet is raised to the maximum is therefore also key, however as casinos picked up on players betting patterns this was quickly noticed and players were banned from casinos. This is where working in teams came in and as those who have seen the film 21 will know, there are counters in place who play the minimum bet and then leave as the deck turned hot, allowing for the high roller to come in and scoop up the winnings. Casinos also quickly picked up on this and now they have many rules in place that stops card counting, with many decks used, limited splitting and doubling opportunities and while this has made things ‘safer’ for the casino, the 99.99% of players who are not card counting are the ones that suffer with all these restrictions in place. With rules in land based casinos that stop card counting, the house edge is now hard to cut and you’ll find that the same house edge exists in land based casinos and in online casino when playing blackjack. Blackjack Effect Of Removal Procedure
*Appendices
*Miscellaneous
*External LinksIntroduction
In single deck blackjack every card that is played has a considerable impact on the distribution of the remaining cards. The following lists will show exactly how to play your cards immediately after a shuffle in a single deck game where the dealer hits a soft 17. Visit Composition-Dependent Strategy for Single Deck and Dealer Stands on Soft 17 for the same thing, except the dealer standing on soft 17.
To use this guide first go to the list according to the number of cards in your hand. Then note the basic strategy changes and finally the exceptions to the changes. For example if you have a 16 composed of a 10, 4, and 2 against a 10 look under the 3 card list. You will see that with three cards you should stand on 16 against 10. Going further you will see there are some exceptions, for example with a 16 composed of a 6, 6, and 4 you should hit. If your hand is not listed as an exception so you should stand. It should not be interpreted that this is a card counting guide. Everything is based on exact cards and no numbers represent a count. Basic Strategy Changes: None
Exceptions: Tulalip casino conference room.
*8 (6+2) vs 6 = Hit
*12 (7+5) vs 3 = Stand
*12 (8+4) vs 3 = Stand
*12 (10+2) vs 4 = HitThree Cards Basic Strategy Changes:
*12 vs 3 = Stand
*16 vs 10 = Stand Exceptions:
*15 (5+5+5) vs 10 = Stand
*15 (6+5+4) vs 10 = Stand
*15 (6+6+3) vs 10 = Stand
*16 (6+5+5) vs 9 = Stand
*16 (8+4+4) vs 9 = Stand
*16 (8+5+3) vs 9 = Stand
*16 (6+6+4) vs 10 = Hit
*16 (7+6+3) vs 10 = Hit
*16 (8+6+2) vs 10 = Hit
*16 (9+6+A) vs 10 = Hit Basic Strategy Changes:
*12 vs 3 = Stand
*16 vs 10 = Stand Exceptions:
*12 (2+2+2+6) vs 3 = Hit
*12 (2+2+3+5) vs 3 = Hit
*12 (2+3+3+4) vs 3 = Hit
*15 (A+4+5+5) vs 10 = Stand
*15 (A+3+5+6) vs 10 = Stand
*15 (A+2+6+6) vs 10 = Stand
*16 (A+5+5+5) vs 7 = Stand
*16 (2+4+5+5) vs 7 = Stand
*16 (3+3+5+5) vs 7 = Stand
*16 (3+4+4+5) vs 7 = Stand
*16 (4+4+4+4) vs 7 = Stand
*16 (A+5+5+5) vs 8 = Stand
*16 (2+4+5+5) vs 8 = Stand
*16 (3+3+5+5) vs 8 = Stand
*16 (3+4+4+5) vs 8 = Stand
*16 (4+4+4+4) vs 8 = Stand
*16 (4+4+4+4) vs 9 = Stand
*16 (5+4+4+3) vs 9 = Stand
*16 (5+5+3+3) vs 9 = Stand
*16 (5+5+4+2) vs 9 = Stand
*16 (5+5+5+A) vs 9 = Stand
*16 (6+4+4+2) vs 9 = Stand
*16 (6+5+4+A) vs 9 = Stand
*16 (8+3+3+2) vs 9 = Stand
*16 (8+4+2+2) vs 9 = Stand
*16 (8+4+3+A) vs 9 = Stand
*16 (8+5+2+A) vs 9 = Stand
*16 (9+5+A+A) vs 9 = Stand
*16 (9+4+2+A) vs 9 = Stand
*16 (6+6+2+2) vs 10 = Hit
*16 (6+6+3+A) vs 10 = Hit
*16 (7+6+2+A) vs 10 = Hit
*16 (8+6+A+A) vs 10 = Hit
*16 (10+2+2+2) vs 10 = Hit
*Soft 18 (3+2+2+A) vs 10 = Stand
*Soft 18 (3+2+2+A) vs A = StandFive Cards Basic Strategy Changes:
*12 vs 3 = Stand
*16 vs 10 = Stand
*16 vs 9 = Stand Exceptions: Blackjack Effect Of Removal Solution
*12 (A+2+2+2+5) vs 3 = Hit
*12 (A+2+2+3+4) vs 3 = Hit
*12 (A+2+3+3+3) vs 3 = Hit
*12 (2+2+2+2+4) vs 3 = Hit
*12 (2+2+2+3+3) vs 3 = Hit
*15 (A+A+A+6+6) vs 10 = Stand
*15 (A+A+3+5+5) vs 10 = Stand
*16 (A+A+4+5+5) vs 7 = Stand
*16 (A+2+3+5+5) vs 7 = Stand
*16 (A+2+4+4+5) vs 7 = Stand
*16 (A+3+3+4+5) vs 7 = Stand
*16 (A+3+4+4+4) vs 7 = Stand
*16 (2+2+2+5+5) vs 7 = Stand
*16 (2+2+3+4+5) vs 7 = Stand
*16 (2+2+4+4+4) vs 7 = Stand
*16 (2+3+3+3+5) vs 7 = Stand
*16 (2+3+3+4+4) vs 7 = Stand
*16 (3+3+3+3+4) vs 7 = Stand
*16 (A+A+4+5+5) vs 8 = Stand
*16 (A+2+3+5+5) vs 8 = Stand
*16 (A+2+4+4+5) vs 8 = Stand
*16 (A+3+3+4+5) vs 8 = Stand
*16 (A+3+4+4+4) vs 8 = Stand
*16 (2+2+2+5+5) vs 8 = Stand
*16 (2+2+3+4+5) vs 8 = Stand
*16 (2+2+4+4+4) vs 8 = Stand
*16 (2+3+3+3+5) vs 8 = Stand
*16 (2+3+3+4+4) vs 8 = Stand
*16 (3+3+3+3+4) vs 8 = Stand
*16 (10+3+A+A+A) vs 9 = Hit
*16 (7+6+A+A+A) vs 9 = Hit
*16 (10+2+2+A+A) vs 9 = Hit
*16 (7+5+2+A+A) vs 9 = Hit
*16 (6+6+2+A+A) vs 9 = Hit
*16 (7+4+3+A+A) vs 9 = Hit
*16 (7+4+2+2+A) vs 9 = Hit
*16 (7+3+3+2+A) vs 9 = Hit
*16 (6+3+3+3+A) vs 9 = Hit
*16 (7+3+2+2+2) vs 9 = Hit
*16 (6+3+3+2+2) vs 9 = Hit
*16 (6+3+3+2+2) vs 10 = Hit
*16 (7+6+A+A+A) vs 10 = Hit
*16 (10+2+2+A+A) vs 10 = Hit
*16 (6+6+2+A+A) vs 10 = Hit Basic Strategy Changes:
*12 vs 3 = Stand
*16 vs 7 = Stand
*16 vs 9 = Stand
*16 vs 10 = Stand Exceptions:
*12 (3+3+3+A+A+A) vs 3 = Hit
*12 (3+3+2+2+A+A) vs 3 = Hit
*12 (3+2+2+2+2+A) vs 3 = Hit
*15 (6+5+A+A+A+A) vs 10 = Stand
*16 (A+A+A+A+3+9) vs 7 = Hit
*16 (A+A+A+A+6+6) vs 7 = Hit
*16 (A+A+A+2+2+9) vs 7 = Hit
*16 (A+A+A+3+5+5) vs 8 = Stand
*16 (A+A+2+2+5+5) vs 8 = Stand
*16 (A+A+2+3+4+5) vs 8 = Stand
*16 (A+A+2+4+4+4) vs 8 = Stand
*16 (A+A+3+3+3+5) vs 8 = Stand
*16 (A+A+3+3+4+4) vs 8 = Stand
*16 (A+2+2+2+4+5) vs 8 = Stand
*16 (A+2+2+3+3+5) vs 8 = Stand
*16 (A+2+2+3+4+4) vs 8 = Stand
*16 (A+2+3+3+3+4) vs 8 = Stand
*16 (2+2+2+2+3+5) vs 8 = Stand
*16 (2+2+2+2+4+4) vs 8 = Stand
*16 (2+2+2+3+3+4) vs 8 = Stand
*16 (2+2+3+3+3+3) vs 8 = Stand
*16 (6+6+A+A+A+A) vs 9 = Hit
*16 (7+3+3+A+A+A) vs 9 = Hit
*16 (7+3+2+2+A+A) vs 9 = Hit
*16 (7+2+2+2+2+A) vs 9 = Hit
*16 (6+3+2+2+2+A) vs 9 = Hit
*16 (6+6+A+A+A+A) vs 10 = Hit
*16 (6+3+2+2+2+A) vs 10 = HitMethodology The fine points of basic strategy was determined using a combinatronic and recursive program that made the optimal play at every step considering the exact distribution of remaining cards. This program was also used to create the basic strategy charts for one and multiple decks. Internal Links
*Blackjack main page.
*Appendix 1:Total dependent expected return table for an infinite deck.
*Appendix 2a:Dealer probabilities after dealer peeks for blackjack.
*Appendix 2b:Dealer probabilities before dealer peeks for blackjack.
*Appendix 3a:Composition dependent exceptions to single deck basic strategy where the dealer stands on soft 17.
*Appendix 3b:Composition dependent exceptions to double deck basic strategy where the dealer stands on soft 17.
*Appendix 3c:Composition dependent exceptions to single deck basic strategy where the dealer hits a soft 17.
*Appendix 4:Details on the standard deviation in blackjack.
*Appendix 5:Infinite deck expected return according to player hand and dealer up card.
*Appendix 6:Fine points of when to surrender.
*Appendix 7:Effect of card removal.
*Appendix 8:Analysis of some popular blackjack side bets includingSuper Sevens, Streak, Royal Match, and a tie.
*Appendix 9:Composition dependent expected returns for 1, 2, 4, 5, 6, and 8 decks.
*Appendix 10:The effect on the house edge of the continuous shuffling machines vs. the cut card.
*Appendix 11: Value and strategy for 678 and 777 bonuses.
*Appendix 12:Risk of ruin statistics.
*Appendix 13:Probabilities in the first four cards. May be used to test for the number of decks in online blackjack.
*Appendix 14:Value of each initial player card.
*Appendix 15:House edge using total dependent vs composition dependent basic strategy
*Appendix 16: Basic strategy when dealer exposes both cards.
*Appendix 17: The Ace-Five Count. Possibly the easiest way to count cards.
*Appendix 18: Basic strategy exceptions for three to six cards.
*Appendix 19: Blackjack splitting strategy when a back-player is betting.
*Appendix 20: Blackjack doubling strategy, when doubling after splitting aces is allowed.
*Appendix 21: Details on the Wizard’s Simple Strategy.
*’21’ Movie — Truth and Fiction : My comments on the movie ’21.’
*Australian Blackjack: Rules and odds for blackjack down under.
*Rule Variations: The effect of just about every known blackjack rule change.
*Automatic Winner Charlie Rule in Blackjack.
Written by: Michael Shackleford
Register here: http://gg.gg/upnf4
https://diarynote-jp.indered.space
Betting Correlation – BC is defined as the correlation between card point values and the effect of removal of cards. It is used to predict how well a counting system predicts good betting situations and can approach 1.00 (100% correlation.) BC is particularly important in shoe games (six or eight decks.). The purpose of the software is to derive expectations, effects of removal, and optimal linear strategies based on effects of removal tables. Multiple player hands are allowed. Sum 03 BJF 97 John Imming. Real World Casino #1: Practice Casino. Page 1 - Health benefits of black jack By:Asunta Simoloka and Prof Rashid Bhikha July 2016 Black jack vegetable is known botanically as bidens pilosa and in South Africa local names include muxiji and gewone knapseherel. Like many indigenous African vegetables, black jack has an impressive.
*Blackjack Effect Of Removal Procedure
*Blackjack Effect Of Removal SolutionThere is a certain amount of mystic and mythology that surrounds the casino game of blackjack and this is even demonstrated by its regular appearances in Hollywood films. Movies such as 21 where the young smart students try to beat the house and to a certain extent succeed In books and film it’s often used as a game that show players hitting huge winning streaks and often the game is used as the example of how casino players can indeed beat the house. But is any of this actually true? We know that movie makers and authors try to be a little ‘flexible’ with the truth to make a good story a great story, so the question is, can the house be beaten when playing blackjack? Beat the Dealer with the Effect of Removal The reality is however somewhat different. However Edward O Thorp provided the only real way to in fact beat the dealer in his book on card counting ‘Beat the Dealer, a Winning Strategy for the game of 21’. This of course led to other books, and later the film of how it was used to beat the casino. The book explains that in some situations where the shoe was rich in 10’s blackjack players could expect a positive return. It’s a complex system but the important factor in most card counting systems, the effect of removal, is a part of it. The effect of removal is the basis of many systems and it means that in general it’s good for the player to take low cards from the deck, while keeping all high cards. The easiest system in which this is used is the ace/five system, however there are many more complex card counting and card removal systems. Card Counting Systems Difficulties A perfect card counting system needs to have two things in place. It would need to adapt perfectly to the shoe at any given time, and it would allow the player to bet the maximum amount only when they could expect a positive outcome from the hand. Simple strategies do not change the way in which the game is played, they only allow for changes in the bet size, as optimal blackjack strategy should be played at all times. The bet size and when the bet is raised to the maximum is therefore also key, however as casinos picked up on players betting patterns this was quickly noticed and players were banned from casinos. This is where working in teams came in and as those who have seen the film 21 will know, there are counters in place who play the minimum bet and then leave as the deck turned hot, allowing for the high roller to come in and scoop up the winnings. Casinos also quickly picked up on this and now they have many rules in place that stops card counting, with many decks used, limited splitting and doubling opportunities and while this has made things ‘safer’ for the casino, the 99.99% of players who are not card counting are the ones that suffer with all these restrictions in place. With rules in land based casinos that stop card counting, the house edge is now hard to cut and you’ll find that the same house edge exists in land based casinos and in online casino when playing blackjack. Blackjack Effect Of Removal Procedure
*Appendices
*Miscellaneous
*External LinksIntroduction
In single deck blackjack every card that is played has a considerable impact on the distribution of the remaining cards. The following lists will show exactly how to play your cards immediately after a shuffle in a single deck game where the dealer hits a soft 17. Visit Composition-Dependent Strategy for Single Deck and Dealer Stands on Soft 17 for the same thing, except the dealer standing on soft 17.
To use this guide first go to the list according to the number of cards in your hand. Then note the basic strategy changes and finally the exceptions to the changes. For example if you have a 16 composed of a 10, 4, and 2 against a 10 look under the 3 card list. You will see that with three cards you should stand on 16 against 10. Going further you will see there are some exceptions, for example with a 16 composed of a 6, 6, and 4 you should hit. If your hand is not listed as an exception so you should stand. It should not be interpreted that this is a card counting guide. Everything is based on exact cards and no numbers represent a count. Basic Strategy Changes: None
Exceptions: Tulalip casino conference room.
*8 (6+2) vs 6 = Hit
*12 (7+5) vs 3 = Stand
*12 (8+4) vs 3 = Stand
*12 (10+2) vs 4 = HitThree Cards Basic Strategy Changes:
*12 vs 3 = Stand
*16 vs 10 = Stand Exceptions:
*15 (5+5+5) vs 10 = Stand
*15 (6+5+4) vs 10 = Stand
*15 (6+6+3) vs 10 = Stand
*16 (6+5+5) vs 9 = Stand
*16 (8+4+4) vs 9 = Stand
*16 (8+5+3) vs 9 = Stand
*16 (6+6+4) vs 10 = Hit
*16 (7+6+3) vs 10 = Hit
*16 (8+6+2) vs 10 = Hit
*16 (9+6+A) vs 10 = Hit Basic Strategy Changes:
*12 vs 3 = Stand
*16 vs 10 = Stand Exceptions:
*12 (2+2+2+6) vs 3 = Hit
*12 (2+2+3+5) vs 3 = Hit
*12 (2+3+3+4) vs 3 = Hit
*15 (A+4+5+5) vs 10 = Stand
*15 (A+3+5+6) vs 10 = Stand
*15 (A+2+6+6) vs 10 = Stand
*16 (A+5+5+5) vs 7 = Stand
*16 (2+4+5+5) vs 7 = Stand
*16 (3+3+5+5) vs 7 = Stand
*16 (3+4+4+5) vs 7 = Stand
*16 (4+4+4+4) vs 7 = Stand
*16 (A+5+5+5) vs 8 = Stand
*16 (2+4+5+5) vs 8 = Stand
*16 (3+3+5+5) vs 8 = Stand
*16 (3+4+4+5) vs 8 = Stand
*16 (4+4+4+4) vs 8 = Stand
*16 (4+4+4+4) vs 9 = Stand
*16 (5+4+4+3) vs 9 = Stand
*16 (5+5+3+3) vs 9 = Stand
*16 (5+5+4+2) vs 9 = Stand
*16 (5+5+5+A) vs 9 = Stand
*16 (6+4+4+2) vs 9 = Stand
*16 (6+5+4+A) vs 9 = Stand
*16 (8+3+3+2) vs 9 = Stand
*16 (8+4+2+2) vs 9 = Stand
*16 (8+4+3+A) vs 9 = Stand
*16 (8+5+2+A) vs 9 = Stand
*16 (9+5+A+A) vs 9 = Stand
*16 (9+4+2+A) vs 9 = Stand
*16 (6+6+2+2) vs 10 = Hit
*16 (6+6+3+A) vs 10 = Hit
*16 (7+6+2+A) vs 10 = Hit
*16 (8+6+A+A) vs 10 = Hit
*16 (10+2+2+2) vs 10 = Hit
*Soft 18 (3+2+2+A) vs 10 = Stand
*Soft 18 (3+2+2+A) vs A = StandFive Cards Basic Strategy Changes:
*12 vs 3 = Stand
*16 vs 10 = Stand
*16 vs 9 = Stand Exceptions: Blackjack Effect Of Removal Solution
*12 (A+2+2+2+5) vs 3 = Hit
*12 (A+2+2+3+4) vs 3 = Hit
*12 (A+2+3+3+3) vs 3 = Hit
*12 (2+2+2+2+4) vs 3 = Hit
*12 (2+2+2+3+3) vs 3 = Hit
*15 (A+A+A+6+6) vs 10 = Stand
*15 (A+A+3+5+5) vs 10 = Stand
*16 (A+A+4+5+5) vs 7 = Stand
*16 (A+2+3+5+5) vs 7 = Stand
*16 (A+2+4+4+5) vs 7 = Stand
*16 (A+3+3+4+5) vs 7 = Stand
*16 (A+3+4+4+4) vs 7 = Stand
*16 (2+2+2+5+5) vs 7 = Stand
*16 (2+2+3+4+5) vs 7 = Stand
*16 (2+2+4+4+4) vs 7 = Stand
*16 (2+3+3+3+5) vs 7 = Stand
*16 (2+3+3+4+4) vs 7 = Stand
*16 (3+3+3+3+4) vs 7 = Stand
*16 (A+A+4+5+5) vs 8 = Stand
*16 (A+2+3+5+5) vs 8 = Stand
*16 (A+2+4+4+5) vs 8 = Stand
*16 (A+3+3+4+5) vs 8 = Stand
*16 (A+3+4+4+4) vs 8 = Stand
*16 (2+2+2+5+5) vs 8 = Stand
*16 (2+2+3+4+5) vs 8 = Stand
*16 (2+2+4+4+4) vs 8 = Stand
*16 (2+3+3+3+5) vs 8 = Stand
*16 (2+3+3+4+4) vs 8 = Stand
*16 (3+3+3+3+4) vs 8 = Stand
*16 (10+3+A+A+A) vs 9 = Hit
*16 (7+6+A+A+A) vs 9 = Hit
*16 (10+2+2+A+A) vs 9 = Hit
*16 (7+5+2+A+A) vs 9 = Hit
*16 (6+6+2+A+A) vs 9 = Hit
*16 (7+4+3+A+A) vs 9 = Hit
*16 (7+4+2+2+A) vs 9 = Hit
*16 (7+3+3+2+A) vs 9 = Hit
*16 (6+3+3+3+A) vs 9 = Hit
*16 (7+3+2+2+2) vs 9 = Hit
*16 (6+3+3+2+2) vs 9 = Hit
*16 (6+3+3+2+2) vs 10 = Hit
*16 (7+6+A+A+A) vs 10 = Hit
*16 (10+2+2+A+A) vs 10 = Hit
*16 (6+6+2+A+A) vs 10 = Hit Basic Strategy Changes:
*12 vs 3 = Stand
*16 vs 7 = Stand
*16 vs 9 = Stand
*16 vs 10 = Stand Exceptions:
*12 (3+3+3+A+A+A) vs 3 = Hit
*12 (3+3+2+2+A+A) vs 3 = Hit
*12 (3+2+2+2+2+A) vs 3 = Hit
*15 (6+5+A+A+A+A) vs 10 = Stand
*16 (A+A+A+A+3+9) vs 7 = Hit
*16 (A+A+A+A+6+6) vs 7 = Hit
*16 (A+A+A+2+2+9) vs 7 = Hit
*16 (A+A+A+3+5+5) vs 8 = Stand
*16 (A+A+2+2+5+5) vs 8 = Stand
*16 (A+A+2+3+4+5) vs 8 = Stand
*16 (A+A+2+4+4+4) vs 8 = Stand
*16 (A+A+3+3+3+5) vs 8 = Stand
*16 (A+A+3+3+4+4) vs 8 = Stand
*16 (A+2+2+2+4+5) vs 8 = Stand
*16 (A+2+2+3+3+5) vs 8 = Stand
*16 (A+2+2+3+4+4) vs 8 = Stand
*16 (A+2+3+3+3+4) vs 8 = Stand
*16 (2+2+2+2+3+5) vs 8 = Stand
*16 (2+2+2+2+4+4) vs 8 = Stand
*16 (2+2+2+3+3+4) vs 8 = Stand
*16 (2+2+3+3+3+3) vs 8 = Stand
*16 (6+6+A+A+A+A) vs 9 = Hit
*16 (7+3+3+A+A+A) vs 9 = Hit
*16 (7+3+2+2+A+A) vs 9 = Hit
*16 (7+2+2+2+2+A) vs 9 = Hit
*16 (6+3+2+2+2+A) vs 9 = Hit
*16 (6+6+A+A+A+A) vs 10 = Hit
*16 (6+3+2+2+2+A) vs 10 = HitMethodology The fine points of basic strategy was determined using a combinatronic and recursive program that made the optimal play at every step considering the exact distribution of remaining cards. This program was also used to create the basic strategy charts for one and multiple decks. Internal Links
*Blackjack main page.
*Appendix 1:Total dependent expected return table for an infinite deck.
*Appendix 2a:Dealer probabilities after dealer peeks for blackjack.
*Appendix 2b:Dealer probabilities before dealer peeks for blackjack.
*Appendix 3a:Composition dependent exceptions to single deck basic strategy where the dealer stands on soft 17.
*Appendix 3b:Composition dependent exceptions to double deck basic strategy where the dealer stands on soft 17.
*Appendix 3c:Composition dependent exceptions to single deck basic strategy where the dealer hits a soft 17.
*Appendix 4:Details on the standard deviation in blackjack.
*Appendix 5:Infinite deck expected return according to player hand and dealer up card.
*Appendix 6:Fine points of when to surrender.
*Appendix 7:Effect of card removal.
*Appendix 8:Analysis of some popular blackjack side bets includingSuper Sevens, Streak, Royal Match, and a tie.
*Appendix 9:Composition dependent expected returns for 1, 2, 4, 5, 6, and 8 decks.
*Appendix 10:The effect on the house edge of the continuous shuffling machines vs. the cut card.
*Appendix 11: Value and strategy for 678 and 777 bonuses.
*Appendix 12:Risk of ruin statistics.
*Appendix 13:Probabilities in the first four cards. May be used to test for the number of decks in online blackjack.
*Appendix 14:Value of each initial player card.
*Appendix 15:House edge using total dependent vs composition dependent basic strategy
*Appendix 16: Basic strategy when dealer exposes both cards.
*Appendix 17: The Ace-Five Count. Possibly the easiest way to count cards.
*Appendix 18: Basic strategy exceptions for three to six cards.
*Appendix 19: Blackjack splitting strategy when a back-player is betting.
*Appendix 20: Blackjack doubling strategy, when doubling after splitting aces is allowed.
*Appendix 21: Details on the Wizard’s Simple Strategy.
*’21’ Movie — Truth and Fiction : My comments on the movie ’21.’
*Australian Blackjack: Rules and odds for blackjack down under.
*Rule Variations: The effect of just about every known blackjack rule change.
*Automatic Winner Charlie Rule in Blackjack.
Written by: Michael Shackleford
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