4/8/2022

Martingale Casino

Dubins; Leonard J.reverse martingale. Then your probability of winning is The Martingale system is the most popular and commonly used roulette strategy. Dat is in principe een goed systeem, poker tournament blind level calculator maar juist daarom hebben casino’s een tafelmaximum.” Elke tafel heeft een maximale best martingale strategy. A betting strategy (also known as betting system) is a structured approach to gambling, in the attempt to produce a profit.To be successful, the system must change the house edge into a player advantage — which is impossible for pure games of probability with fixed odds, akin to a perpetual motion machine.

STATE UNIVERSITY COLLEGE AT BUFFALO

Department of Mathematics

Course Revision


I. Number and Title of Course

MAT 107 Casino Gambling

II. Reasons for Revision

We have updated the bibliography to better address and reflect the current work in this area, and we have redefined the major objectives of the course in terms of student outcomes. The course continues to serve the following purposes in our program:

A. To provide an intensive encounter with the behavior of the phenomenon of chance that pervades everyone’s life and that is an essential characteristic of the world in which we live. Life is said to be a school of probability.

B. To develop an intelligent approach toward the phenomenon of chance and an understanding of the calculation of risks involved in making a decision. Casino gambling games offer an excellent training opportunity for such knowledge just as Geometry is an excellent training opportunity for learning logic. Indeed, in all the affairs of life we must make decisions that are gambles because risk is involved.

C. To present the fundamental elements of Combinatorial Analysis and of Probability Theory, which is perhaps the single most important model of reality, in order to produce well-educated citizens who know and understand the basic facts of chance and the way it works.

D. To critically examine casino gambling, a topic that is currently gaining popularity and that, besides being a source of entertainment, offers a splendid model for a study of the workings of probability theory, leading to a comprehension of chance that is of real value when applied to many other phases of life.

E. To eliminate many common and widely held superstitions about the phenomenon of chance and the laws that govern it.

III. Major Objectives of the Course

A. Students will examine the pervasive phenomenon of chance and the laws of probability according to which this phenomenon behaves.

B. Students will develop the abilities of logical analysis and critical thinking concerning possibilities and decisions open to them by means of a thorough examination of the rules governing popular games of chance in gambling casinos.

C. Students will demonstrate how the laws of probability and mathematical expectation, together with careful analysis, can uncover the precise value of the player’s disadvantage in various gambling situations.

D. Students will understand the power and inexorability of the advantage held by gambling operators through their favorable House Percentages on each bet made.

E. Stduents will experience the contrasting emotional and intellectual reactions held by one who faces a real situation governed by chance and in which s/he must make a decision.

IV. Topical Outline

A. Nature of the phenomenon of chance and the laws of probability

Solution1. Objective view of chance, and its measure, probability

2. Subjective view of chance, and its measure, betting odds

3. Law of Large Numbers (Law of Averages) and fallacies concerning it:

a. Doctrine of the maturity of chances

b. Doctrine of runs of luck

c. Fallacy of the small sample.

4. Permutations and combinations

5. Probability laws of addition and multiplication

6. Mathematical expectation

B. Roulette Martingale1. Layout, rules of play and betting

2. Computation of House Percentages

3. Betting systems as attempts to control chance:

a. Martingale

b. Great Martingale

c. D’Alembert system (Up-Down system)

d. Cancellation system

C. Craps 1. Layout, rules of play and betting

2. Computation of House Percentages

3. Comparison of advantages and disadvantages of various available bets

D. Blackjack (Twenty-One) 1. Layout, rules of play and betting

2. Basic Strategy to reduce the casino advantage

3. Introduction to variable strategies

Martingale chart E. Other casino games (optional) 1. Baccarat

2. Wheel of Fortune

3. Keno

4. Slot Machines

F. Applications of the probability model’s principles to situations other than casino gaming

V. Bibliography

Allen, J. Edward. The Basics of Winning Blackjack. New York: Cardoza Publishing, 1992.

Allen, J. Edward. Winning Craps for the Serious Player. New York: Cardoza Publishing, 1993.

Barnhart, Russell T. Beating the Wheel. Secaucus, N. J.: Lyle Stuart (Carol division), 1992.

Chambliss, Carlson R. and Roginski, Thomas C. Fundamental of Blackjack. Las Vegas, Nevada: GBC Press, 1990.

Epstein, Richard A. The Theory of Gambling and Statistical Logic (2nd edition). New York: Academic Press, 1995.

Freund, John E. Introduction to Probability. Mineola, N. Y.: Dover, 1993.

Casino

Gollehon, John. All About Roulette. New York: Perigee Books, 1988.

Griffin, Peter A. The Theory of Blackjack (5th edition). Las Vegas, Nevada: Huntington Press, 1996.

Humble, Ph.D., Lance, and Cooper, Ph.D., Carl. The World’s Greatest BlackjackBook (revised edition). New York: Doubleday, 1987.

Hutchinson, Robert J. The Absolut Beginner’s Guide t Gambling. New York: Pocket Books, 1996.

Levinson, Horace C. Chance, Luck and Statistics. New York: Dover, 1963.

Patrick, John. John Patrick’s Craps. Secaucus, N. J.: Lyle Stuart (Carol division), 1991.

Reber, Arthur S. The New Gambler’s Bible. New York: Random House (Crown division), 1996.

Revere, Lawrence. Playing Blackjac as a Business (new revised edition). Secaucus, N. J.: Lyle Stuart (Carol division), 1980.

Ross, Sheldon M. A First Course in Probability (4th edition). Englewood Cliffs, N. J.: Prentice Hall, 1994.

Scarne, John. Scarne’s New Complete Guide to Gambling. New York: Simonand Schuster, 1974.

Scoblete, Frank. Spin Roulette Gold. Chicago: Bonus Books, 1997.

Silberstang, Edwin. The Winner’s Guide to Casino Gambling (3rd edition). New York: Penguin Books USA (Plume division), 1997.

Sklansky, David. Getting the Best of It (revised edition). Henderson, Nevada: Two Plus Two Publishing, 1989.

Thomason, Walter. The Ultimate Blackjack Book. Secaucus, N. J.: Lyle Stuart

(Carol division), 1997.

Thorp, Edward O. Beat the Dealer (revised edition). New York: Random House (Vintage Books division), 1966.

Thorp, Edward O. The Mathematics of Gambling. Secaucus, N. J.: Lyle Stuart, 1984.

Weaver, Warren. Lady Luck, the Theory of Probability. Garden City, N. Y.: Doubleday, 1963.

Wilson, Allan N. The Casino Gambler’s Guide (enlarged edition). New York: Harper & Row, 1970.

Wong, Stanford. Professional Blackjack. La Jolla, Calif.: Pi Yee Press, 1994.

VI. Presentation and Evaluation

A. Lectures, demonstrations and discussions will be used. An essential element in the classroom will be the actual playing of the major casino games so that the student gains first-hand encounters with the phenomenon of chance and the problems of making a decision in the face of uncertainty. This will be done initially to acquaint the student with the rules of play and betting procedures, and it will also be done after a critical examination of the game is made using the theory of probability so that the student may actually see this knowledge put to real use in the gambling decisions he or she then makes.

B. Evaluation will be made through written examinations of the student’s knowledge of the casino games and the elements of probability theory, and of how the latter affects decisions made in the former.

VII. Prerequisite

3 years of Regents high school mathematics or equivalent.

VIII. Credit

3 credits: (3:0)

The Martingale is the most-famous betting system of all time. It calls on you to double your wagers following every loss.

The Martingale is both simple and effective, but it’s also extremely risky. This strategy creates the potential for losing all your money more so than with any other betting system.

Nevertheless, some gamblers still use this system while chasing riches. Certain players, including the ones covered below, have made millions using the Martingale.

Charles Wells

Who Is Charles Wells?

Charles Wells is one of the most-famous gamblers of all time. Interestingly enough, though, he wasn’t a gambler by trade.

Wells was an nineteenth century conman who tricked people into investing in his fake inventions. The key word is fake, because he never intended to create any of the products he proposed.

The Brit’s best skill was convincing investors to give him money—not inventing things. He even managed to trick people into giving him a collective £4,000 for a musical jump rope.

Wells never had any intention of using the £4,000 (approx. £130,000 today) to work the fabled jump rope. Instead, he used the money to go on a gambling excursion in Monte Carlo.

How Did Wells Get Rich Through the Martingale?

Wells began playing roulette when he arrived in Monte Carlo. He started experiencing success almost immediately.

The conman suddenly looked like a professional gambler as the chips mounted in front of him. He managed to break the bank over a dozen times during the trip.

Breaking the bank refers to winning every chip at a table and, subsequently, shutting it down.

Wells walked away from his first trip with over 1 million francs (approx. £4 million, or $5.2 million).

He returned to Britain for a short while only to decide that he wanted another go at Monte Carlo. Wells once again experienced incredible success and won even more francs.

Upon returning to England this time, Wells had suddenly become a nationwide celebrity. Many people wanted to know the reason behind his success.

The conman lied his way through interviews by saying that he devised a secret strategy. The spoiler is that he was merely using the Martingale.

Wells made the fateful mistake of taking a third trip to Monte Carlo. Beforehand, he decided to defraud more people and purchase a yacht with his earnings.

Karma would catch up to Wells as he lost all his money to the casino. He returned to Britain and was immediately arrested for fraud. His final years were spent rotting in prison without a pound/franc to his name.

David Choe

Who Is David Choe?

David Choe is an American artist who has painted famous murals and designed album cover art for Linkin Park, Jay-Z, and more. His painting of Barack Obama is featured in the White House.

Despite his talent, one of Choe’s most-memorable works has nothing to do with his skill. Instead, he did a mural for Facebook’s office that ended up netting him $200 million.

Choe thought that Facebook would never succeed in the long run. Nevertheless, he liked Mark Zuckerberg and the other FB figureheads.

Martingale Gambling Strategy

So, he painted them a mural in exchange for Facebook stock. His shares ended up being worth $200 million when the company’s IPO launched.

How Did Choe Win with the Martingale?

With a famous art career and numerous Facebook shares, Choe obviously didn’t need gambling to get rich. Nevertheless, he found success on the casino floor too.

Casino blackjack became his game of choice. Choe employed the Martingale and set a stop-win limit for each session.

A stop-win limit refers to when a gambler quits playing after meeting a desired win target. Choe even brought a friend along to make sure that he quit sessions after reaching his goal.

In an interview with Howard Stern, the artist spoke of how he started gambling with just $500. He ran this total up to $1 million strictly through the Martingale and stop-win limits.

This gambling story is impressive enough. However, some of the side stories that Choe told on Stern and the Joe Rogan Experience podcast are even more interesting.

The Las Vegas Review-Journal chronicled some of his Las Vegas adventures in 2014. They recounted how Vegas rolled out the red carpet to keep Choe gambling.

Martingale Calculator Casio

“The height of my Vegas experience was staying at the penthouse in every single casino — like all the high-roller casinos — a harem of whores in each one,” he told LVRJ.

“I would be going to Vegas all the time with 100 grand. A million dollars in, like, a pillowcase in my backpack.”

One casino even sent a private jet to Choe’s Burbank, CA home. He and a friend rode on the “giant, empty plane” to Las Vegas.

Other gambling establishments let him ride in “secret elevators,” offered him illegal drugs, and threw more women at him. He didn’t want the drugs, but he definitely appreciated the women.

Choe’s lavish lifestyle and Martingale winnings came to a halt when he suffered an angina attack (form of heart disease) at age 35.

He hadn’t slept for five days and began losing his sense of balance. Finally, Choe collapsed on his penthouse floor with $20,000 chips spilling out of his pockets.

After waking up from the angina attack 36 hours later, he wanted to start playing blackjack again. However, his friends talked him into returning home to Burbank and leaving the wild Vegas lifestyle behind.

John Henry Martindale

Who Is J.H. Martindale?

Casino

If you think that the name John Henry Martindale sounds familiar, you’re right. He invented the Martingale system, or at least holds credit for the idea.

J.H. Martindale was a casino owner in London during the eighteenth century. He was a hands-on owner who frequently mingled with his customers.

During these conversations, he’d give advice to gamblers. One of his biggest pieces of advice was to double bets following losses.

How Did Martindale Win Through the Martingale?

J.H. Martindale didn’t win by gambling with the Martingale. Instead, he made money for his casino by talking players into doubling wagers after losing.

This is a risky betting strategy compared to others when considering that many players book small, consistent wins with this system. In the end, though, Martindale felt that the house would always come out on top.

He was right in most respects. The Martingale can reap plenty of small winning sessions. However, a gambler’s luck will eventually run out if they keep employing this strategy.

Should You Use the Martingale to Win Big Too?

The Martingale has remained popular for almost two centuries. The main reason why is because it works…at least in theory.

Here’s an example to show the power of the Martingale:

  • You bet $10 and lose (bankroll at -10).
  • You bet $20 and lose (bankroll at -30).
  • You bet $40 and lose (bankroll at -70).
  • You bet $80 and lose (bankroll at -150).
  • You bet $160 and lose (bankroll at -310).
  • You bet $320 and win (bankroll at +10).

You’ve lost five bets in a row in this example. But despite winning just one out of six wagers, you’ve managed to book a $10 profit.

The Martingale is seemingly a foolproof system. It could work under the perfect conditions. The problem, though, is that such conditions don’t exist.

First off, you’d need to find a casino without table limits. Otherwise, you’ll eventually reach the table limit during a losing streak and not be able to double your wagers any longer.

Secondly, you’d need an infinite bankroll to ensure that you never risk losing all of your money. Maybe Jeff Bezos can pull this off, but not you.

Of course, the odds of you going on an insane losing streak are low. The longer you play, though, the more likely you are to run into such a horrific occurrence.

If this happens, then you have no recourse since your bankroll will be gone. Long story short, use the Martingale at your own risk.

Conclusion

Most gamblers don’t use the Martingale (at least consistently) due to the reasons outlined above. But you can see from the stories of Wells and Choe that it’s possible to win big with this strategy.

La Martingale Casino Du Liban

Each player earned seven figures using the Martingale. Wells actually pulled this feat off twice during trips to Monte Carlo.

However, you should temper your expectations with this system. The Martingale can deliver frequent winning sessions, but it also takes a while to build your winnings. The story of Choe playing for a year before hitting $1 million illustrates this idea.