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Blackjack – Wizard of Odds – Wizard of Odds Related to strategy

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strategy begin Rule variations will have an effect on the player’s expected return. The numbers below show the effect on the player’s return under various rules and after taking into consideration proper basic strategy adjustments. These changes are relative to the following rules: eight decks, dealer stands on soft 17, player may double on anyfirst two cards, player can double after splitting, playermay split to 4 hands.

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The Wizard endorses these 3 casinos to play blackjack for real money.
Our beginner’s guide to Blackjack is an introduction into the world’s most popular casino game.
Analyze and improve your game with the use of these free tools, calculators, and advice.
Serious blackjack players who are looking for ways to take the advantage away from the casino and put themselves on top.
Blackjack should need no introduction. It is the most popular table game in the United States, and is easily found in casinos throughout the world.
The object of the game of Blackjack is simply to get more points than the dealer without going over 21.
Learn the rules and Wizard’s Simple Strategy in this introductory video.
Analysis and advice for experienced players who have mastered basic strategy, and are looking to add an extra edge to their game.
Let me determine the correct basic strategy for you, under just about any set of rules, using my basic strategy calculator.
I still have my traditional charts too:
Over the years we have negotiated several blackjack bonuses with some of the best casinos in the industry. This has resulted in the following list of blackjack bonuses, which are sorted out by wagering requirement, amount offered, and quality of the site.
Topics include an in-depth history of blackjack, biographies of the influencial people to the game, how to beat lots of blackjack variants and side bets, cheating, team play, an FAQ, and blackjack poetry.
Analyze and improve your game with the use of these free tools, calculators, and advice.
I’m proud to finally add a blackjack game and trainer to my web site. If you make an inferior play, the game will warn you first. If doubling or splitting is mathematically the correct play, but you don’t have enough chips, the game will give the best advice for what you can afford to do.
Our second blackjack game not only builds on what the first had to offer but now it also trains you to count cards in over 10 different blackjack card counting systems!
Rule variations will have an effect on the player’s expected return. The numbers below show the effect on the player’s return under various rules and after taking into consideration proper basic strategy adjustments. These changes are relative to the following rules: eight decks, dealer stands on soft 17, player may double on anyfirst two cards, player can double after splitting, playermay split to 4 hands.
Analysis of some popular blackjack side bets that I have seen.

Copyright © 1998-2016 Wizard of Odds Consulting, Inc. All rights reserved.
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8/6 Jacks or Better 10-Play Ultimate X Strategy – Wizard of Odds Related to strategy

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strategy begin This page shows my strategy for the 10-hand version of 8/6 Ultimate X Jacks or Better. With perfect play, which requires knowing more than one correct play for many hands based on the average multiplier, the expected return of this game is 99.42%.

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

Introduction
Basic Strategy
Exceptions

The Wizard of Vegas

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8/6 Jacks or Better 10-Play Ultimate X Strategy

This page shows my strategy for the 10-hand version of 8/6 Ultimate X Jacks or Better . With perfect play, which requires knowing more than one correct play for many hands based on the average multiplier, the expected return of this game is 99.42%. If you use the following single strategy at all times, the expected return is 99.38%. So you are giving up 0.04% in long-term return in exchange for a single, simple strategy.
Please note this strategy is not appropriate for the single-line Ultimate X game .
Below the strategy are some exceptions based on the average multiplier, which will boost the return slightly above 99.38%.
The exceptions listed below will bring the above strategy a little closer to perfect strategy. This list of exceptions is not a complete list.

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

7/5 Bonus Poker 10-Play Ultimate X Strategy – Wizard of Odds Focus on strategy

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strategy with This page shows my strategy for the 10-hand version of 7/5 Ultimate X Bonus Poker. With perfect play, which requires knowing more than one correct play for many hands based on the average multiplier, the expected return of this game is 99.40%. If you use the following single strategy at all times, the expected return is 99.32%.

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

Introduction
Basic Strategy
Exceptions

The Wizard of Vegas

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Las Apuestas

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7/5 Bonus Poker 10-Play Ultimate X Strategy

This page shows my strategy for the 10-hand version of 7/5 Ultimate X Bonus Poker . With perfect play, which requires knowing more than one correct play for many hands based on the average multiplier, the expected return of this game is 99.40%. If you use the following single strategy at all times, the expected return is 99.32%. So you are giving up 0.08% in long-term return in exchange for a single, simple strategy.
Please note this strategy is not appropriate for the single-line Ultimate X game .
Below the strategy are some exceptions based on the average multiplier, which will boost the return slightly above 99.32%.
The exceptions listed below will bring the above strategy a little closer to perfect strategy. This list of exceptions is not a complete list.
The following hand is interesting because it is the only hand in this game which has three correct plays:
78T of one suit + Jack of a second suit + Queen of a third suit. For example, 7♦ 8♦ 10♦ J♣ Q♥ .
The three correct plays for this hand are:

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

Simple Strategy for Deuces Wild Video Poker – Wizard of Odds by Article strategy

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strategy is

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

Home

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Simple Strategy for Deuces Wild Video Poker

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.
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.
Any hand that does not appear on the above lists should never be played. Most notably a two pair, keeping a single pair has a higher expected value.
Example : Suppose you have the following hand.
The top two plays are (1) keep the pat flush, and (2)keep the 4 to a straight flush. The 4 to a straight flush consists of 3 consecutive singletons with a range of 5-7 or greater. This appears higher on the list than a pat flush,and is thus the better play.
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.
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

Australian Blackjack – Wizard of Odds Subject of strategy

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strategy with I would like to express my thanks and gratitude to \”MGP\” for his Blackjack Combinatorial Analyzer. Usually I use my own programs for blackjack analysis; however they do not support the Australian BB+1 and OBBO rules. The use of MGP’s program saved me a great deal of time.

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

The Wizard of Vegas

The Wizard of Macau

Las Apuestas

Home

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Australian Blackjack

Australian blackjack is played much the same way as in the rest of the world. As in Europe and Asia, the dealer does not take a hole card in Australia. If the player doubles and/or splits, and the dealer gets a blackjack, then what happens next in Australia depends on the particular casino. There are four for possibilities for this hole-card rule, as follows:
OBO (Dealer takes original bets only) : Under this rule, the dealer will take the player’s original bet only, regardless of what the player did. The player may split and/or double under this rule, without fear of losing more than the initial bet. Mathematically speaking, this is equivalent to the American rule where the dealer peeks for blackjack. My main blackjack page is based on the U.S. rules.
ENHC (European No Hole Card) : Under this rule, the dealer will take the total amount the player bet, including doubles and splits, if the dealer gets a blackjack. My European strategy page shows how to play under this rule.
BB+1 (Busted Bets Plus One) : Under this rule, the dealer will take all busted bets, plus one more unit from everything else the player may have bet from doubling and/or splitting.
OBBO (Original and Busted Bets Only) : Under this rule, the dealer will take any busted bets, and one unit from each un-busted hand on the table. In other words, the player is at risk to lose his additional bets from splitting, but not doubling.
The blackjack rules consistent across Australia are as follows:
Double allowed on 9 to 11 only Double after split allowed Surrender not allowed
Rules that can vary are as follows:
Number of decks Dealer hits/stands on soft 17 Number of splits allowed Re-splitting aces allowed Hole card rule
In August 2008 I visited the Star City in Sydney. The variable rules there are as follows:
8 decks Only one split allowed BB+1 hole card rule House edge of 0.59%.
The following table shows the effect of various rule changes on the player’s expected return, relative to the Star City Sydney rules. Changing two or more rules at the same time may cause an interaction effect.
Following is the basic strategy for the BB+1 rule, and the dealer standing on a soft 17.
After splitting 8s against a 10, the player should stand on 15 or more. The only exception is the last hand to be played, where all previous hands busted.
The following table is appropriate for the OBBO rule, and the dealer stands on a soft 17. There are only two changes relative to the BB+1 strategy above: hit 8,8 vs. 10, and hit A,A vs. A.
At the time I visited Australia, in August 2008, every casino in the country stood on soft 17. However, the Crown Casino in Melbourne has since changed their rules to hit on a soft 17, according to this article at the theage.com.au. This increases the house edge by 0.22%.
I would like to express my thanks and gratitude to ‘MGP’ for his Blackjack Combinatorial Analyzer. Usually I use my own programs for blackjack analysis; however they do not support the Australian BB+1 and OBBO rules. The use of MGP’s program saved me a great deal of time.

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Dealer takes original bet only on dealer BJ (OBO)
Dealer takes original and busted bets on dealer BJ (OBBO)
Dealer takes all bets on dealer BJ (ENHC)

Pai Gow Tiles Optimal Strategy – Wizard of Odds in strategy

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strategy with Optimal strategy for Pai Gow Tiles.

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Pai Gow Tiles Optimal Strategy

Following is the optimal strategy for Pai Gow Tiles with exceptions based on whether the dealer is banking or you are banking. This strategy is optimal against the Traditional Way. It should be nearly optimal against any casino house way.
The approach with this strategy is a little different than usual. It is separated into two sections: pairs and non-pairs. If the tile combination contains at least one pair, follow the rules in the Pairs section. Otherwise, skip to the second section.
Determine the combination code for a hand by determing each tile’s code as listed above, and then sorting the four codes from lowest to highest. For example, if the tiles are Teen, high 4, Gee, and 11, their respective codes are 2, 4, 3, and 1. Then sort the digits to get the code 1234. Look up the rule for the 4-digit code in the table below.
Combinations which have only one way to play are included but are greyed-out .

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  0 and 0, except with H7s when banking
high 1/6 when dealer is banking; 0/7 when banking
high 1/4 when dealer is banking; 0/5 when banking
high 1/5 when dealer is banking; 0/6 when banking
high 1/6 when dealer is banking; 0/7 when banking
1/high 7 when dealer is banking; 0/8 when banking
0/6 except play 2/4 with 0-0-L2-H4 when dealer is banking
6/6 (separate H0 and H6 if applicable)
4/4 when dealer is banking; 0/8 when banking
4/high 6 except play high 4/6 with 0-0-L4-H6 when dealer is banking
high 6/8 except play 6/high 8 with 0-0-H6-L8 when dealer is banking
6/high 9 except play high 6/9 with L6 when banking
high 6/7 (separate H0 and H6 if applicable)
7/8 except play 6/9 with H0-1-3-H8, and play 6/9 with H0-1-3-L8 when banking
high 4/5 with L0; 1/8 with H0 when dealer is banking
5/8 except play 4/9 with H0-1-L4-H8, and play 4/9 with L0-1-H4-H8 when banking
high 6/7 (separate H0 and H6 if applicable)
7/8 except play 6/9 with H0-1-6-H8, and play 6/9 with H0-1-L6-L8 when banking
4/4 except play 2/high 6 with L0-2-2-L4
6/9 with H2; 7/8 with L2 when dealer is banking
6/Gong except play 8/8 with L0-L2-3-H8
2/8 when dealer is banking; 4/6 when banking
6/7 except play 4/9 with L0-H2-H4-7; when banking play 4/9 except play 6/7 with L0-L2-L4-7
6/8 except play 4/Gong with 0-H2-H4-L8; also play 4/Gong when banking with H0-H2, H2-H4, H2-L8, and H4-L8
6/9 except play 4/Wong with L0-2-H4-9
7/7 except play 5/9 with L0-H2-5-7; also play 5/9 with H0-H2-5-7 when banking
7/8 except play 5/Gong with H0-H2-5-L8; also play 5/Gong with L0-H2-5-L8 and H0-H2-5-H8 when banking
6/9 except play 7/8 with H0-L2-6-7 when dealer is banking
6/Gong except play 8/8 with L0-L2-L6-H8; also play 8/8 with L0-L2-L6-L8, L0-L2-H6-H8, and L0-H2-L6-H8 when dealer is banking
8/9 except play 7/Gong with H0-2-7-L8 and H0-L2-7-H8
9/9 except play 7/Wong with H0-L2-7-9
9/Gong except play 8/Wong with 0-L2-H8-9; also play 8/Wong with L0-H2-H8-9 when dealer is banking
6/8 except play 5/9 with H0-3-5-H6 when dealer is banking
0/7 except play 1/6 with L0-H4-H6-7 when dealer is banking
when dealer is banking, play 2/high 8 except play 4/6 with H0-L4-8-8; when banking, play 4/6 except play 2/high 8 with L0-L4-8-8
2/8 except play 4/6 with H0-6-6-H8; also play 4/high 6 with L0-6-6-H8 when banking
5/6 except play 4/7 with H0-H6-L7-L8; also play 3/8 with L0-H6-L7-L8 when banking
6/6 except play 5/7 with H0-H6-7-9; also play 5/7 with L0-H6-L7-9 when banking
7/Gong except play 8/9 with 1-L2-3-H8 when dealer is banking
6/9 except play 5/Gong with 1-2-H4-L8 and 1-H2-4-L8; also play 5/Gong with 1-L2-L4-L8 and 1-H2-H4-H8 when banking
7/9 except play 6/Gong with 1-H2-5-L8; also play 6/Gong with 1-L2-5-L8 when banking
7/Gong except play 8/9 with 1-L2-L6-H8
6/8 when dealer is banking; 5/high 9 when banking
0/8 except play 1/7 with 1-H4-H6-7 when dealer is banking
5/7 except play 3/9 with 1-H6-L7-L8 when banking
high 8/Wong when dealer is banking; 8/high Wong when banking
high 8/Wong when dealer is banking; 8/high Wong when banking
4/9 with H8; 3/Gong with L8; except play 5/8 with L2-3-H7-L8 and L2-3-7-H8 when dealer is banking
6/8 except play 4/Gong with H2-3-8-8 when banking
7/8 except play 5/Gong with H2-3-L8-9
6/6 except play 2/Gong with H2 when banking
6/7 except play 2/Wong with L2-4-L8-9 and 3/Gong with H2-4-L8-9; also play 3/Gong with L2-H4-L8-9 when banking
5/7 with H8; 2/Gong with L8; except play 3/9 with H2-5-7-H8 when banking
4/9 with H8; 3/Gong with L8; except play 5/8 with L2-6-7-H8 and 4/9 with H2-H6-7-L8 when dealer is banking, and 4/9 with H2-L6-L7-L8 when banking
6/8 except play 4/Gong with H2-6-8-8 when banking
7/8 with H8; 5/Gong with L8; except play 7/8 with L2-L6-L8-9 when dealer is banking
4/7 except play 2/9 with 3-H4-H6-L8 and 3-L4-6-L8
5/6 when dealer is banking; high 4/7 when banking
2/3 except play 0/5 with L4-6-6-9 when banking
2/3 except play 1/4 with H4-6-7-H8 when dealer is banking, and 0/5 with H8 when banking
0/7 except play 3/4 with H4-6-L8-9 and L4-H6-L8-9 when dealer is banking
3/4 except play 1/6 with 5-H6-H7-9 when dealer is banking
5/6 except play high 4/7 with L6-8-8-9 when banking

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4 of a kind or better
3 aces
4 to a royal flush
Straight, flush, or full house
3 deuces through kings
4 to a straight flush
Pair of aces
Two pair
Pair of Jacks, Queens, or Kings [1]
3 to a royal flush [1]
4 to a flush
4 to a straight: 89TJ, 9TJQ, or TJQK
Pair of deuces through tens
3 to a straight flush: 8TJ, 9TJ, or 9JQ
4 to a straight: 2345, 3456, 4567, 5678, 6789, 789T, or JQKA
3 to a straight flush: 345, 456, 567, 678, 789, 89T, 89J, 8JQ, 9TQ, 9JK, or 9QK
Suited JQ, JK, QK, JA, QA, KA [2]
4 to a straight: 9JQK, TJQA, TJKA, or TQKA [2]
Ace
Unsuited JQK
3 to a straight flush: 234, 235/245, 346/356, 457/467, 568/578, 679/689, 78T/79T, 78J/79J/7TJ, 89Q, 8TQ, or 9TK
4 to a straight: 89JQ, 8TJQ, 9TJK, or 9TQK
Unsuited JQ, JK, or QK [3]
Suited TJ, TQ, or TK [3] [4]
Jack, Queen, or King [4]
3 to a straight flush: 236/246/256, 347/357/367, 458/468/478, 569/579/589, or 67T/68T/69T
4 to a straight: 2346/2356/2456, 3457/3467/3567, 4568/4578/4678, 5679/5689/5789, 678T/679T/689T
Discard everything

Suited TJQ or JQK beats a pair of Jacks, Queens, or Kings if there is no straight or flush penalty to the 3-card royal
Unsuited 9JQK, TJQA, TJKA, and TQKA beats suited JK, QK, JA, QA, or KA if there is a flush penalty to the 2-card royal
Suited TJ beats unsuited JK if there is no 8 or flush penalty to the TJ
King beats suited TK if there is a flush penalty to the TK

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Super Aces Bonus Video Poker Strategy

The following strategy is the optimal strategy for 8/5 Super Aces Bonus Poker , which returns 99.94%. To use it, make the play which is closest to the top of the list, noting the exceptions.

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Bonus Royals Video Poker
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Chase The Royal
Deuce on the Deal
Deuces and Joker Wild
Deuces Wild
Dice Fever
Double Aces and Faces
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Double Bonus Poker Plus
Double Deuces
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Royal Court
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Sevens and Joker Wild
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Shockwave
Spin Fever
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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
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Other Strategies:

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

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