The principle of the impossibility of a gambling system is a concept in probability. It states that in a random sequence, the methodical selection of subsequences does not change the probability of specific elements. The first mathematical demonstration is attributed to Richard von Mises (who used the term collective rather than sequence). The principle states that no method for forming a subsequence of a random sequence (the gambling system) improves the odds for a specific event. For instance, a sequence of fair coin tosses produces equal and independent 50/50 chances for heads and tails. A simple system of betting on heads every 3rd, 7th, or 21st toss, etc., does not change the odds of winning in the long run. As a mathematical consequence of computability theory, more complicated betting strategies (such as a martingale) also cannot alter the odds in the long run. Von Mises' mathematical demonstration defines an infinite sequence of zeros and ones as a random sequence if it is not biased by having the frequency stability property. With this property, the frequency of zeroes in the sequence stabilizes at 1/2, and every possible subsequence selected by any systematic method is likewise not biased. The subsequence selection criterion is important, because although the sequence 0101010101... is not biased, selecting the odd positions results in 000000... which is not random. Von Mises did not fully define what constituted a "proper" selection rule for subsequences, but in 1940 Alonzo Church defined it as any recursive function which having read the first N elements of the sequence decides if it wants to select element number N+1. Church was a pioneer in the field of computable functions, and the definition he made relied on the Church Turing Thesis for computability. In the mid 1960s, A. N. Kolmogorov and D. W. Loveland independently proposed a more permissive selection rule. In their view Church's recursive function definition was too restrictive in that it read the elements in order. Instead they proposed a rule based on a partially computable process which having read any N elements of the sequence, decides if it wants to select another element which has not been read yet. The principle influenced modern concepts in randomness, e.g. the work by A. N. Kolmogorov in considering a finite sequence random (with respect to a class of computing systems) if any program that can generate the sequence is at least as long as the sequence itself. (Wikipedia).
Why The Martingale Betting System Doesn't Work
This is a follow up to a video where I described a betting system that seems to guarantee you win money- I asked you guys how that's possible. In this video I explain the flaws in the system. Previous video: https://youtu.be/t8L9GCophac
From playlist Puzzles and Riddles
Can you solve this gambling paradox?
Here's an interesting paradox for you to consider. We've all been told it doesn't pay to chase our losses gambling- but this video seems to prove that actually this will let you consistently win money. This can't be right- and that's the paradox. Solution announced at this time where you
From playlist Puzzles and Riddles
Democracy is mathematically impossible.
Determining the "will of majority" is badly defined. Why should we believe the two- round voting system if there are many other ways to quantify people's preferences ? In this video I discuss the manipulations, paradoxes and other problems associated with the mathematics of voting. My
From playlist Something you did not know...
The Mathematics of Roulette I Understanding Casino Games
For thousands of years, games and puzzles have been an enjoyable and rewarding aspect of human civilization. They tease our brains. They challenge our memories. They strengthen our competitive skills. And whether it's chess, poker, or Sudoku, most games have this in common: Everything you
From playlist Math and Statistics
Which tips and tricks actually work according to probability laws? I discuss the three tips that work to increase your odds of winning the lottery, plus several that do not.
From playlist Contests and Sweepstakes odds
Not every voting system generates impossibility: Score Voting and Impossibility
Not every voting system generates impossibility in the sense of Arrow's Impossibility theorem. That is there are voting systems that have the Weak Pareto, Independence of Irrelevant Alternatives, and Non-Dictatorial properties simultaneously. In particular we look at the relationship betwe
From playlist The New CHALKboard
Testing Monopoly Tips with Python simulation. Should you really ignore greens? (and much more)
There are dozens, maybe more, articles all over the Internet with tips how to always win in Monopoly. Let's test some of those by simulating hundreds of thousands of games with Python. Ignoring certain properties, different building stategies, cash reserve - which will have the maximum (p
From playlist Simulations
What's the probability of an endless Monopoly game? (simulating 1.000.000 games in Python)
Monopoly is known to have a nasty tendency of getting endless. I have built a Python simulator that will uncover whether it is really so - and what factors are at play here. 5 different experiments, 1000000 games simulated, multiple graphs plotted, ppt slides created. (Spoiler: it is actu
From playlist Simulations
Calculated Bets: Computers, Gambling, and Mathematical Model
An interview with Steven Skiena about his book: Calculated Bets: Computers, Gambling, and Mathematical Modeling to Win! The book tells the story of how the author used computer simulation and mathematical modeling techniques to predict the outcome of jai-alai matches and bet on them succes
From playlist Calculated Bets: Computers, Gambling, and Mathematical Model
Nash Equilibriums // How to use Game Theory to render your opponents indifferent
Check out Brilliant ► https://brilliant.org/TreforBazett/ Join for free and the first 200 subscribers get 20% off an annual premium subscription. Thank you to Brilliant for sponsoring this playlist on Game Theory. Game Theory Playlist ► https://www.youtube.com/playlist?list=PLHXZ9OQGMqx
From playlist Game Theory
IMS Public Lecture: Gambling Against the Second Law of Thermodynamics
Renato Renner, ETH Zurich, Switzerland
From playlist Public Lectures
The Computer Chronicles - Computers and Gambling (1987)
Special thanks to archive.org for hosting these episodes. Downloads of all these episodes and more can be found at: http://archive.org/details/computerchronicles
From playlist Computer Chronicles Episodes on Software
The Whole of AQA A Level Psychology | Revision for Exams
A-Level Psychology Courses, FREE revision guide & workbooks https://primrosekitten.org/a-level-psychology/ To sign up to the mailing list for discount codes and updates https://mailchi.mp/161c4e43b8bf/primrosekitten Study planners https://www.primrosekitten.com/collections/study-planners
From playlist AQA A-Level Psychology | Revision Playlist
Cascadia Ruby 2013 Gambling for Rubyists by Kerri Miller
If baseball is America's Pastime, then surely poker is America's Game. From Rounders to Celebrity Poker, Kenny Rogers to World Series of Poker events on constant loop on ESPN, poker is everywhere in our popular culture. An iconic game of the Wild West, today it has lost much of its stigma
From playlist Cascadia Ruby 2013
Will Play to Earn Games Remain Legal? - Extra Credits Video Games
---- To learn more about Brilliant, go to https://brilliant.org/ExtraCredits/ and sign up for free. The first 200 people that go to that link will get 20% off the annual Premium subscription! ---- In 2018 we discussed blockchain and how it might potentially change the gaming industry. Now
From playlist Extra Credits (ALL EPISODES)
Official Cowards, Financial Scatology & Precursors to Hyperinflation (SOB 468)
SOB #468 - Official Cowards, Financial Scatology & Precursors to Hyperinflation On today's episode of Speaking of Bitcoin, join hosts Andreas M. Antonopoulos, Adam B. Levine, Jonathan Mohan and Stephanie Murphy as they dive into the growing topic of inflation. Our modern world is increasi
From playlist Podcast: Speaking of Bitcoin
How to Make $1 Billion Betting on Horse Racing with Machine Learning
Bill Benter is arguably the most successful sports bettor of all time. Its estimated he made close to $1 Billion betting on horses in Hong Kong. His story is well documented, but the models he used and the reasons for his success are often overlooked. In this video I break down the circums
From playlist Data Scientist Reacts
How These Legendary Aircrafts Shaped Boeing 787 Dreamliner | Legends Of Flight | Spark
Through the eyes of chief test pilot Mike Carriker, a legendary contemporary pilot who is flight rated in more than 100 airplanes, we will see how a century of aviation trial and error, and some of the seminal airplanes of the 20th century influenced the design of the Boeing 787 Dreamliner
From playlist The Science Of Planes
Re-Imagining the Social Sciences in the Age of AI - March 4, 2020
Re-Imagining the Social Sciences in the Age of AI: A Cross-Disciplinary Conversation Wednesday, March 4 5:30 p.m. Wolfensohn Hall Co-organized by the School of Mathematics and the School of Social Sciences, this public event will feature two short talks about the transformational possibi
From playlist Mathematics
Labouchere system for Gambling tested and analysis
This video covers the Labouchère system, which is used for gambling and betting on games of luck. The assertion with the Labouchère system is that it can be used to profit in scenarios where you win less than 50% of the time, and that it is a generally profitable system. My assertion i
From playlist Monte Carlo Simulation with Python