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Blackjack Switch – Wizard of Odds Related to strategy

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strategy related Blackjack switch is a blackjack variant which allows the player to do what is normally considered a classic cheating manoeuver, trading cards between two hands. The player must make two bets of equal size and is allowed to switch the second card dealt to each hand. Of course, nothing good comes without a trade-off.

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Blackjack Switch

Blackjack switch is a blackjack variant which allows the player to do what is normally considered a classic cheating manoeuver, trading cards between two hands. The player must make two bets of equal size and is allowed to switch the second card dealt to each hand. Of course, nothing good comes without a trade-off. In this case a dealer 22 results in a push against all non-busted hands and blackjacks pay even money.
Russian Rules : Same as the rules above, except early surrender allowed (sometimes not against an ace), dealer does not take a hole card, and dealer stands on soft 17.
The following tables show the basic strategy under the 8-deck Las Vegas rules after the switch decision has been made. The reason for the differences compared to conventional blackjack strategy is the push on 22 rule.
If 6 decks are used the player should double 9 against a 5.
At this time I have not created a strategy for the Russian rules or Ontario rules.
The following is the ‘Cindy Liu Simple Switching Strategy,’ appropriate under the Las Vegas rules. It is based on the following list of hands in order of strength:
Against a dealer 7 or 8, balance the hands, by making the weaker hand as high as possible, using the above scale of hands, if you can.
Against any other dealer up card, maximize the strength of the higher hand, using the scale above, if you can.
If you can’t achieve one of the desired hands in the list, then make the strongest hand possible from the following list, in order of strength:
The simple strategy, compared to optimal strategy, results in a cost of errors of 0.17%. It results in an error once every 18.6 hands, and an error with an expected value of more than 10% once every 82 hands.
The following is the ‘Cindy Liu Advanced Switching Strategy,’ appropriate under the Las Vegas rules. To use it, add up the points for each hand for both ways to play them, and play the one with the greater number of points. In the case of a tie, use the the simple strategy.
Let’s look at an example. Suppose you have 8+ 4 and A+ 8 against a dealer 6, where the underlined card is the second one dealt. So you can play (1) 12 and soft 19, or (2) 8-8 and soft 15. Which pair of hands is better? According to the table, the 12 is worth 0 points and the soft 19 is worth 1, for a total of 1. For the alternative, 8-8 is worth 1 and the soft 15 is worth 1, also for a total of 2. So the odds favor switching to 8-8 and soft 15. Note that the simple strategy would incorrectly advise the player to not switch. My Blackjack Switch appendix 1 shows that the combined expected value of 12 + soft 19 is -0.2108+0.3634=0.1526, and 8-8 + soft 15 is higher at 0.1461+0.0365=0.1824.
The cost of mistakes in the advanced strategy, compared to optimal strategy, is 0.08% only. The player will make an incorrect decision once every 24.5 hands, and a mistake with an expected value over 10% once every 250 hands.
I also have a printer friendly version (PDF) of both switching strategies, as well as the basic strategy.
The Big Book of Blackjack by Arnold Synder contains an easy and intuitive switching strategy. Out of respect for copyright, I won’t say more than that about how it works. According to Cindy Liu, the Sndyer strategy results in a cost of errors of about 0.2% compared to optimal strategy. Besides that, I highly recommend the book for breaking new ground in blackjack, which is not easy to do any more.
My Blackjack Switch calculator , courtesy of Jing Ding, will advise when to switch in any situation. The calculator is based on the Playtech rules and an infinite deck assumption.
Under the standard Las Vegas rules, with six decks, the dealer hits a soft 17, and a switched blackjack counts as 21 points, the house edge is 0.58%, assuming optimal strategy. Follow are the effects on the house edge of some rule variations:
The house edge under the Russian rules is 0.20%, assuming early surrender against an ace is allowed.
There is also a Super Match side bet based on the player’s initial four cards. The following table shows the paytable, probability, and return of each hand:
The lower right cell shows a house edge on the side bet of 2.55%.
My thanks to Cindy Liu for both her simple and advanced switching strategies, Jing Ding for his switching calculator , and to Gabor for his mathematical contributions.

Copyright © 1998-2016 Wizard of Odds Consulting, Inc. All rights reserved.
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Jacks or Better: Intermediate Strategy – Wizard of Odds Related to strategy

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strategy is The following strategy is not expressed in the usual order of value. Instead, this is a list of all the common conflict hands. I think the kind of list below is better suited to the way people actually think about video poker. The list is in the order of the hand strength of the better play.

Strategies

Jacks or Better

Simple Strategy (99.46%)

Intermediate Strategy (99.52%)

Optimal Strategy (99.54%)

Deuces Wild

NSUD Intermediate Strategy

Full-Pay Simple Strategy (100.71%)

Full-Pay Optimal Strategy (100.76%)

8/5 Bonus Poker

10/7 Double Bonus

9/6 Double Double Bonus

8/5 Super Aces

Quick Quads

9/6 Jacks or Better

8/5 Bonus Poker

9/7/5 Double Bonus

9/6 Double Double Bonus

8/5 Triple Bonus

Ultimate X

Jacks or Better

Bonus Poker

Bonus Poker Deluxe

Double Bonus

Double Double Bonus

Joker Poker

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Jacks or Better: Intermediate Strategy

The following strategy is not expressed in the usual order of value. Instead, this is a list of all the common conflict hands. I think the kind of list below is better suited to the way people actually think about video poker. The list is in the order of the hand strength of the better play.
If you prefer to learn the usual way, here is a list of possible plays according to the strength of the hand. To use the strategy look up all viable ways to play an initial hand on the following list and elect that which is highest on the list. A ‘high card’ means a jack or higher.
High card : A jack, queen, king, or ace. These cards are retained more often because if paired up they return the original bet.
Outside straight : An open ended straight that can be completed at either end, such as the cards 7,8,9,10.
Inside straight : A straight with a missing inside card, such as the cards 6,7,9,10. In addition A,2,3,4 and J,Q,K,A also count as inside straights because they are at an extreme end.
Straight Flush draw (type 1) : Straight flush draw in which the number of high cards equals or exceeds number of gaps.
Straight Flush draw (type 2) : One of the following straight flush draws.

Straight Flush draw (type 3) : Straight flush draw with two gaps and no high cards.
Example : Suppose you have the following hand.
The top two plays are (1) keep the three to a straight flush and (2) keep two to a royal flush. The number of gaps to the straight flush is 2 and the number of high cards is also 2, so it is a type 1 straight flush draw. The table shows that 3 to a straight flush (type 1), beats two suited high cards, so keep the 3 cards to the straight flush.
The following table compares the probability and return of each hand under both the simple strategy and the optimal strategy.

The next table is a frequency distribution of the error,or difference in expected return, between the simple strategy and the optimal strategy.

Copyright © 1998-2016 Wizard of Odds Consulting, Inc. All rights reserved.
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Basic Video Poker Info

My main Video Poker page

Return tables:

(select a game)
2 Ways Royal
2nd Chance Royal
3-Way Action
4-5 Bonus Poker
7 Stud Poker
Ace & Deuce Bonus Poker
Ace Invaders
Ace on the Deal
ACE$ Bonus Poker
Aces and Eights
Aces and Faces
Acey Deucey Poker
All Aces
All American Video Poker
American Poker
Anything’s Wild Video Poker
Atomic Fever
Barnyard Poker
Big Split Poker
Big Times Draw Poker
Big Win Poker
Black Jack Bonus Poker
Bonus Deuces Wild
Bonus Poker
Bonus Poker Deluxe
Bonus Poker Plus
Bonus Royals Video Poker
Bonus Video Poker
Build a Wheel Poker
Chase The Royal
Deuce on the Deal
Deuces and Joker Wild
Deuces Wild
Dice Fever
Double Aces and Faces
Double Bonus
Double Bonus Deuces Wild
Double Bonus Poker Plus
Double Deuces
Double Double Aces & Faces
Double Double Bonus
Double Double Bonus Poker Plus
Double Double Jackpot
Double Draw Aces
Double Draw Poker
Double Jackpot Poker
Double Joker
Double Pay Poker
Double Super Times Pay
Draw 6 Poker
Dream Card
Dual Action Poker
Extra Action Poker
Extra Draw Frenzy
Extreme X Poker
Faces n’ Deuces
Fast Fours
Five Aces Poker
Flex Change Poker
Flush Fever
Flush Fever – Nevada Variant
Full House Bonus Poker
Going for Fours
Good Times Pay
Hot Roll Poker
Hyper Bonus Poker
Jackpot Poker
Jacks or Better
Joker Poker (Kings or better)
Joker Poker (two pair or better)
Joker Wild (aces or better)
Keno Draw Poker
Look Ahead Poker
Loose Deuces
Lucky Quads Wheel Poker
Lucky Suit Poker
Match Card Video Poker
Max Out Poker
Movin’ On Up Poker
Multi-Hand Ultimate 4 of a Kin…
Multi-Streak Poker
Multi-Strike Poker 16X
Multi-Strike Video Poker
Nevada Bonus Poker
No Risk Double Up
One-Eyed Jacks
Pay the Aces Video Poker
Peek and Play Poker
Pick ’em Poker
Power Quads
Pyramid Bonus Poker
Quick Quads
Red Black Double Double Bonus …
Royal Aces Bonus Poker
Royal Court
Royal Draw
Royal Hunt Poker
Sequential Royal
Sevens and Joker Wild
Sevens Wild
Shockwave
Spin Fever
Spin Poker
Split Card Poker
Stack ’em Poker
Straight Flush Bonus
Stud Choice Poker
Super Aces Bonus
Super Bonus Deuces Wild
Super Double Bonus
Super Double Double Bonus Poker
Super Draw 6 Poker
Super Draw Poker
Super Hand Poker
Super Look Ahead Poker
Super Times Pay
Super Triple Bonus
Tens or Better
Three Card Draw Poker
Trade Up Poker
Triple Bonus
Triple Bonus Poker Plus
Triple Deuces Wild – Odds
Triple Double Bonus Poker
Triple Triple Bonus Video Poker
Triple Trouble
Turbo Poker
Turbo Video Poker
Ultimate 4 of a Kind Bonus Poker
Ultimate Aces Poker
Ultimate X (single line)
Ultimate X Video Poker – Multi…
Ultra Bonus Poker
Video Hold ‘Em
Video Hold ‘Em
Wheel Poker
Wheel Poker Deluxe
Wheel Poker with Quick Quads
White Hot Aces
Winning Streak Poker
Without Wheels Video Poker
World Poker Tour Multi-Strike …
World Series of Poker

Probability of Ruin for single-play video poker
Random simulations of multi-play video poker
The standard deviation of n-play video poker

Practice / Play Video Poker for Free

Play my free video poker game/trainer

Video Poker Calculator

Analyze the return for almost any video poker paytable

Other Stuff

Jacks or Better quiz
Probability distribution for each hand by number of cards held in Full-Pay Deuces Wild
Video poker programming tips
San Diego County video poker survey
100% Rebate on Video Poker Losses Promotions
Effect of Strategy Mismatches in Video Poker

Strategies

Full-Pay Jacks or Better:

Simple Strategy (return of 99.46%)
Intermediate Strategy (return of 99.52%)
Optimal Strategy (return of 99.54%)

Full-Pay Deuces Wild:

Simple Strategy (return of 100.71%)
Optimal Strategy (return of 100.76%)
3 to a wild royal (ace-high) vs. Deuce only
2 to a royal (king-high) with a straight penalty
2 to a royal (king-high) with no penalty

Quick Quads:

9/6 Jacks or Better
8/5 Bonus Poker
9/7 Double Bonus
9/6 Double Double Bonus
8/5 Triple Bonus

Other Strategies:

‘Not So Ugly Ducks’
8/5 Bonus Poker
10/7 Double Bonus
10/6 Double Double Bonus

Blackjack – Wizard of Odds by Article strategy

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strategy begin The Wizard presents the odds, rules and complete strategy charts for casino Blackjack. These are the authoritative charts copied by everyone all over the world.

Appendices

1: Total dependent expected return table for an infinite deck

2a: Probabilities of dealer blackjack after peek

2b: Probabilities of dealer blackjack before peek

3a: Exceptions to single-deck S17 basic strategy

3b: Exceptions to double-deck S17 basic strategy

3c: Exceptions to single-deck H17 basic strategy

4: Blackjack standard deviation details

5: Infinite deck expected return by player hand and dealer upcard

6: Fine points of when to surrender

7: Effect of card removal

8: Analysis of blackjack side bets

9: Composition-dependent expected returns for 1 to 8 decks

10: Continuous shuffling machine vs. cut card

11: Value and strategy for 678 and 777 bonuses

12: Risk of ruin statistics

13: Probabilities in the first four cards

14: Value of each initial player card

15: House edge using total-dependent vs. composition-dependent basic strategy

16: Basic strategy when dealer exposes both cards

17: The Ace-Five card counting method

18: Basic strategy exceptions for three to six cards

19: Blackjack splitting strategy when a back-player is betting

20: Blackjack doubling strategy when doubling after splitting aces is allowed

21: Details on the Wizard’s Simple Strategy

Miscellaneous

My comments on the movie ’21’

Australian Blackjack

Introduction to Card Counting

Rule Variations

Blackjack ‘Charlie’ Rule

Rummy (Blackjack variant popular in Costa Rica)

External Links

Macau Blackjack rules

Simple Blackjack Explanation

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Game Odds & Strategies

Blackjack

I overhear a lot of bad gambling advice in the casinos. Perhaps the most frequent is this one, ‘The object of blackjack is to get as close to 21 as possible, without going over.’ No! The object of blackjack is to beat the dealer. To beat the dealer the player must first not bust (go over 21) and second either outscore the dealer or have the dealer bust. Here are the full rules of the game.

I’ve been preaching for years that to play blackjack properly requires memorizing the basic strategy. However, after pitching the basic strategy for 20 years, I’ve learned that few people have the will to memorize it. In my book, Gambling 102 , I presented a ‘Simple Strategy,’ which is seven simple rules to playing blackjack. The cost due to incorrect plays with the Simple Strategy is 0.53%, under liberal Vegas Strip rules.
Ever since my book was published it has bothered me that the cost in errors to my Simple Strategy was too high. So in September 2009 I developed the following ‘Wizard’s Strategy.’ The cost due to imperfect plays is 0.14% only, relative to liberal Vegas Strip rules. That is the cost of one hand for about every 12 hours of play. Compared to the 250 cells in the Basic Strategy, the Wizard’s Strategy has only 21, as follows.
Let me be perfectly clear that this strategy is not right 100% of the time. I continue to get Emails saying that when this strategy was used with my practice game , the player was corrected for following it. For example, my simple strategy says to stand on 12 against a 2, when it is mathematically better to hit. If you want to learn a strategy that is correct all the time you should use the appropriate basic strategy for the set of rules you are playing.
Here are some comments of clarification.
A reader named Jeff provided another table of my simple strategy, with exceptions in small print. Details about the Wizard’s Simple Strategy can be found in my Blackjack appendix 21 .
See my Blackjack House Edge Calculator to determine the house edge under 6,912 possible rule combinations.
Following is a list of some common rule variations and the effect on the player’s expected return compared to standard U.S. rules (8 decks, dealer stands on soft 17, double after split allowed).
More and more tables are showing up that pay less than the full 3 to 2 on a blackjack. Most of these tables pay 6 to 5, but some even money and 7 to 5 tables are known to exist. I would estimate that 10% of ’21’ tables in Las Vegas now pay less than 3 to 2. In my opinion, only games that pay 3 to 2 deserve to be called ‘blackjack,’ the rest fall under ’21’ games, including Super Fun 21 and Spanish 21. Regardless of the other rules, you should demand nothing less than 3 to 2 blackjack. You should always check the felt to be sure, and if the felt doesn’t say, look for a sign. If nothing says the win on a blackjack, then ask.
Three popular bad strategies encountered at the blackjack table are: never bust, mimic the dealer, and always assume the dealer has a ten in the hole. All three are very bad strategies. Following are my specific comments on each of them, including the house edge under Atlantic City rules (dealer stands on soft 17, split up to 4 hands, double after split, double any two cards) of 0.43%.
Never bust: For my analysis of this strategy I assumed the player would never hit a hard 12 or more. All other decisions were according to correct basic strategy. This ‘never bust’ strategy results in a house edge of 3.91%.
Mimic the dealer: For my analysis of this strategy I assumed the player would always hit 16 or less and stand on17 or more, including a soft 17. The player never doubled or split, since the dealer is not allowed to do so. This ‘mimic the dealer’ strategy results in a house edge of 5.48%.
Assume a ten in the hole: For this strategy I first figured out the optimal basic strategy under this assumption. If the dealer had an ace up, then I reverted to proper basic strategy, because the dealer would have peeked for blackjack, making a 10 impossible. This ‘assume a ten’ strategy results in a house edge of 10.03%.
Practice your blackjack game using my two training tools.

Copyright © 1998-2016 Wizard of Odds Consulting, Inc. All rights reserved.
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Player may double on any number of cards
Player may not double after splitting

Quick Quads – Wizard of Odds by Story strategy

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strategy begin Quick Quads is a video poker game that I first noticed at the Red Rock in September, 2008. For the first five coins bet per hand, the game plays like ordinary multi-play video poker. For an optional sixth coin bet, the player qualifies to add two cards together to complete a four of a kind.

Strategies

Jacks or Better

Simple Strategy (99.46%)

Intermediate Strategy (99.52%)

Optimal Strategy (99.54%)

Deuces Wild

NSUD Intermediate Strategy

Full-Pay Simple Strategy (100.71%)

Full-Pay Optimal Strategy (100.76%)

8/5 Bonus Poker

10/7 Double Bonus

9/6 Double Double Bonus

8/5 Super Aces

Quick Quads

9/6 Jacks or Better

8/5 Bonus Poker

9/7/5 Double Bonus

9/6 Double Double Bonus

8/5 Triple Bonus

Ultimate X

Jacks or Better

Bonus Poker

Bonus Poker Deluxe

Double Bonus

Double Double Bonus

Joker Poker

The Wizard of Vegas

The Wizard of Macau

Las Apuestas

Quick Quads is a video poker game that I first noticed at the Red Rock in September, 2008. For the first five coins bet per hand, the game plays like ordinary multi-play video poker. For an optional sixth coin bet, the player qualifies to add two cards together to complete a four of a kind. For example, if the player had 99936, then he can add the 3 and 6, to make a fourth nine. A full house like 66633 will pay as a four of a kind too. Only four of a kinds of 2 to 10 qualify as Quick Quads, and aces count as one point. The game sometimes bumps up some of the four of a kind wins too, for a sixth coin bet. With the sixth coin bet, the player will get about 2.7 times as many four of a kinds.
The following return tables are for those games and pay tables that I am aware of. The return column is the product of the win, probability, and 5/6.

Copyright © 1998-2016 Wizard of Odds Consulting, Inc. All rights reserved.
Privacy & Terms .

Basic Video Poker Info

My main Video Poker page

Return tables:

(select a game)
2 Ways Royal
2nd Chance Royal
3-Way Action
4-5 Bonus Poker
7 Stud Poker
Ace & Deuce Bonus Poker
Ace Invaders
Ace on the Deal
ACE$ Bonus Poker
Aces and Eights
Aces and Faces
Acey Deucey Poker
All Aces
All American Video Poker
American Poker
Anything’s Wild Video Poker
Atomic Fever
Barnyard Poker
Big Split Poker
Big Times Draw Poker
Big Win Poker
Black Jack Bonus Poker
Bonus Deuces Wild
Bonus Poker
Bonus Poker Deluxe
Bonus Poker Plus
Bonus Royals Video Poker
Bonus Video Poker
Build a Wheel Poker
Chase The Royal
Deuce on the Deal
Deuces and Joker Wild
Deuces Wild
Dice Fever
Double Aces and Faces
Double Bonus
Double Bonus Deuces Wild
Double Bonus Poker Plus
Double Deuces
Double Double Aces & Faces
Double Double Bonus
Double Double Bonus Poker Plus
Double Double Jackpot
Double Draw Aces
Double Draw Poker
Double Jackpot Poker
Double Joker
Double Pay Poker
Double Super Times Pay
Draw 6 Poker
Dream Card
Dual Action Poker
Extra Action Poker
Extra Draw Frenzy
Extreme X Poker
Faces n’ Deuces
Fast Fours
Five Aces Poker
Flex Change Poker
Flush Fever
Flush Fever – Nevada Variant
Full House Bonus Poker
Going for Fours
Good Times Pay
Hot Roll Poker
Hyper Bonus Poker
Jackpot Poker
Jacks or Better
Joker Poker (Kings or better)
Joker Poker (two pair or better)
Joker Wild (aces or better)
Keno Draw Poker
Look Ahead Poker
Loose Deuces
Lucky Quads Wheel Poker
Lucky Suit Poker
Match Card Video Poker
Max Out Poker
Movin’ On Up Poker
Multi-Hand Ultimate 4 of a Kin…
Multi-Streak Poker
Multi-Strike Poker 16X
Multi-Strike Video Poker
Nevada Bonus Poker
No Risk Double Up
One-Eyed Jacks
Pay the Aces Video Poker
Peek and Play Poker
Pick ’em Poker
Power Quads
Pyramid Bonus Poker
Quick Quads
Red Black Double Double Bonus …
Royal Aces Bonus Poker
Royal Court
Royal Draw
Royal Hunt Poker
Sequential Royal
Sevens and Joker Wild
Sevens Wild
Shockwave
Spin Fever
Spin Poker
Split Card Poker
Stack ’em Poker
Straight Flush Bonus
Stud Choice Poker
Super Aces Bonus
Super Bonus Deuces Wild
Super Double Bonus
Super Double Double Bonus Poker
Super Draw 6 Poker
Super Draw Poker
Super Hand Poker
Super Look Ahead Poker
Super Times Pay
Super Triple Bonus
Tens or Better
Three Card Draw Poker
Trade Up Poker
Triple Bonus
Triple Bonus Poker Plus
Triple Deuces Wild – Odds
Triple Double Bonus Poker
Triple Triple Bonus Video Poker
Triple Trouble
Turbo Poker
Turbo Video Poker
Ultimate 4 of a Kind Bonus Poker
Ultimate Aces Poker
Ultimate X (single line)
Ultimate X Video Poker – Multi…
Ultra Bonus Poker
Video Hold ‘Em
Video Hold ‘Em
Wheel Poker
Wheel Poker Deluxe
Wheel Poker with Quick Quads
White Hot Aces
Winning Streak Poker
Without Wheels Video Poker
World Poker Tour Multi-Strike …
World Series of Poker

Probability of Ruin for single-play video poker
Random simulations of multi-play video poker
The standard deviation of n-play video poker

Practice / Play Video Poker for Free

Play my free video poker game/trainer

Video Poker Calculator

Analyze the return for almost any video poker paytable

Other Stuff

Jacks or Better quiz
Probability distribution for each hand by number of cards held in Full-Pay Deuces Wild
Video poker programming tips
San Diego County video poker survey
100% Rebate on Video Poker Losses Promotions
Effect of Strategy Mismatches in Video Poker

Strategies

Full-Pay Jacks or Better:

Simple Strategy (return of 99.46%)
Intermediate Strategy (return of 99.52%)
Optimal Strategy (return of 99.54%)

Full-Pay Deuces Wild:

Simple Strategy (return of 100.71%)
Optimal Strategy (return of 100.76%)
3 to a wild royal (ace-high) vs. Deuce only
2 to a royal (king-high) with a straight penalty
2 to a royal (king-high) with no penalty

Quick Quads:

9/6 Jacks or Better
8/5 Bonus Poker
9/7 Double Bonus
9/6 Double Double Bonus
8/5 Triple Bonus

Other Strategies:

‘Not So Ugly Ducks’
8/5 Bonus Poker
10/7 Double Bonus
10/6 Double Double Bonus

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