The Denenberg Strategy
||The Denenberg Strategy is an
improved strategy for playing your tiles. It was designed by
computer exclusively for PaiGow.com.
If you are an experienced Pai Gow player,
the strategy that you use is often called the
traditional strategy. It is played, with minor variations, by almost every
Pai Gow player and casino.
But the traditional strategy was designed
without the aid of computers. The Denenberg Strategy, a
computer-formulated strategy for playing Pai Gow, allows you to play your
tiles smarter, significantly increasing your expected return. The Denenberg Strategy was designed and
confirmed through hundreds of billions of calculations over several years.
The Denenberg Strategy is mathematically proven to increase your returns.
How much better is the Denenberg Strategy? When playing the Denenberg Strategy, your
expected return is .68% higher than when playing the traditional
strategy. Every deal, win lose or push, you are two-thirds of a percent
ahead. That's a huge advantage in a gambling game.
You acquire the Denenberg Strategy by joining
PaiGow.com. PaiGow.com charges a fee to become a member, and then you
forever reap the benefits of the improved strategy. The strategy was
conceived and designed by PaiGow.com's author, Steven M. Denenberg.
Explore the following questions and
answers about the Denenberg Strategy:
Q & A on the Denenberg Strategy
How do I learn the Denenberg Strategy?
become a member of PaiGow.com, you gain access to Chapters 11 and 12 of
PaiGow.com's Tutorials, which explain the strategy in a clear, step-by-step manner.
Is the Denenberg Strategy difficult to learn?
No. The Denenberg Strategy is similar to the traditional strategy, but it
gives modified rules for when you should maximize the value of your high
hand, or when you should maximize the value of your low hand, or when you
should split a pair, etc. The Denenberg Strategy is only modestly more difficult to learn and remember than the
traditional strategy. If you can read and understand PaiGow.com's Tutorial
Chapter 5: The Traditional Strategy, then you can
certainly learn the Denenberg Strategy.
The breakthrough of the Denenberg Strategy is that
it takes the reams of computer output from a complete analysis of the game
of Pai Gow, and makes that data useable to you at the Pai Gow
much will the Denenberg Strategy benefit me?
If you use the traditional strategy, your expected return is negative
1.49%, which means that, on average, you will lose $1.49 for each $100 you
wager. Those odds are already quite good for a casino game. The Denenberg strategy cuts the house's advantage over you approximately
in half: it improves your expected return by 0.68%.
That increase in expected return means that
for every $1000 that you wager, you will be $6.80 ahead if you use the
Denenberg Strategy rather than the traditional strategy. You gain that
$6.80 on every $1000 wagered, win lose or push, for
the rest of your life. It adds up fast. Here is a calculator that you can use
to see how much the Denenberg Strategy will benefit you. Enter your own figures in the boxes and then press the
else do I benefit from using the Denenberg
Strategy, other than monetarily?
You get a new challenge, and a new way to play! Most Pai Gow players
one traditional strategy, which they play by rote. It's fun to have a new
strategy that not only adds spice to your game, it adds to your bottom line.
Playing the Denenberg Strategy, when you have a decision to make, you will play your tiles differently than the traditional strategy plays them 25% of the time. That's quite often for you to be
playing a unique strategy. Dealers and other players may tell you that you are playing your tiles wrong, when in fact you are playing much better than they are.
You also learn some fun plays, such as how to
alter your playing strategy to your advantage depending on whether you are banking.
fact, when you bank at a full table, your expected return will be at least
a positive .53%!
Can I practice the Denenberg Strategy?
Yes. In fact, PaiGow.com's practice
program is crucial in helping you learn and use the Denenberg Strategy.
The practice area for the Denenberg Strategy gives you deals to play, shows you if you played
them correctly, and shows you the appropriate rule if you need it. You can
ask the computer to give you totally random deals, or the program will make
certain that the deals you receive expose you to all of the rules
of the Denenberg Strategy.
For each practice deal, you also get a link back to the exact page
in the Tutorial that describes the rule pertinent to that deal. Having
access to the programmed practice area helps you greatly in learning the
Practice Area 5 provides all of
the features described above for the
strategy, and it doesn't require membership. Try it out.
How was the Denenberg Strategy computed?
Through several years of exhaustive
calculation and computer analysis, and transforming the results to a
strategy that can be remembered and used at the table. PaiGow.com's
Tutorial Chapter 9: Designing the Denenberg Strategy
gives a detailed account of how some of the calculations were made.
Do I have to know the entire Denenberg Strategy in order to use it at
No. You can learn the new strategy in pieces, and apply what you
know as you learn it.
For example, you can learn how the Denenberg Strategy handles deals that
contain Wong or Gong. Then, you play according to the Denenberg Strategy when you
receive one of those deals, and use your traditional strategy for all other
Do I have to know the entire Denenberg Strategy to
No. You benefit from any part of the
Denenberg Strategy that you use. You increase your expected return more with every piece of the
Denenberg Strategy that you incorporate into your game.
Is it legal to use the Denenberg Strategy?
Yes. Casinos don't require that you play your tiles according to
strategy. Customers are allowed to play their tiles any way they wish. You are not
cheating: you are not looking at other players' tiles. You are simply
making non-traditional, computer-enhanced decisions on how to play your
Can the casino alter its strategy to neutralize my advantage?
No. If the casino changes its strategy, PaiGow.com can design a new
strategy for you that will give you an even higher expected return.