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4-Deck to 8-Deck Blackjack Strategy – Wizard of Odds by Article strategy

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strategy related The original, world-famous strategy charts for 4-deck to 8-deck blackjack by the Wizard of Odds.

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

Basic Strategy in Text Surrender Split Double Hit or Stand

The Wizard of Vegas

The Wizard of Macau

Las Apuestas

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Game Odds & Strategies

4-Deck to 8-Deck Blackjack Strategy

To use the basic strategy, look up your hand along the left vertical edge and the dealer’s up card along the top. In both cases an A stands for ace. From top to bottom are the hard totals, soft totals, and splittable hands. There are two charts depending on whether the dealer hits or stands on soft 17.
If you play a mixture of six-deck games, some where the dealer hits a soft 17, and some where he stands, and you only wish to memorize one strategy, I would recommend you memorize the one where the dealer stands on soft 17. The cost in errors due to playing the wrong strategy is 2.3 times higher playing a stand on soft 17 game, with the hit on 17 strategy, than vise versa.
For the benefit of my blind readers, here is the above strategy in text form, when the dealer stands on soft 17 and surrender is allowed. To use the strategy, start at the top, and follow the first rule that applies.
As I’ve said many times, the above strategy will be fine under any set of rules. However, for you perfectionists out there, here are the modifications to make if the dealer hits a soft 17.
My thanks to Kelly for putting together the above text strategy.

Copyright © 1998-2016 Wizard of Odds Consulting, Inc. All rights reserved.
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9/6 Double Double Bonus 10-Play Ultimate X Strategy – Wizard of Odds of strategy

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strategy with This page shows my strategy for the 10-hand version of 9-6 Ultimate X Double Double Bonus. 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 99.8663%.

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

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games

9/6 Double Double Bonus 10-Play Ultimate X Strategy

This page shows my strategy for the 10-hand version of 9-6 Ultimate X Double Double Bonus . 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 99.8663%. If you use the following single strategy at all times, the expected return is 99.8176%. So you are giving up 0.0487% 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 .

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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