A martingale is a class of betting strategies that originated from and were popular in 18th-century France. The simplest of these strategies was designed for a game in which the gambler wins the stake if a coin comes up heads and loses if it comes up tails. The strategy had the gambler double the bet after every loss, so that the first win would recover all previous losses plus win a profit equal to the original stake. Thus the strategy is an instantiation of the St. Petersburg paradox. Since a gambler will almost surely eventually flip heads, the martingale betting strategy is certain to make money for the gambler provided they have infinite wealth and there is no limit on money earned in a single bet. However, no gambler has infinite wealth, and the exponential growth of the bets can bankrupt unlucky gamblers who chose to use the martingale, causing a catastrophic loss. Despite the fact that the gambler usually wins a small net reward, thus appearing to have a sound strategy, the gambler's expected value remains zero because the small probability that the gambler will suffer a catastrophic loss exactly balances with the expected gain. In a casino, the expected value is negative, due to the house's edge. Additionally, as the likelihood of a string of consecutive losses is higher than common intuition suggests, martingale strategies can bankrupt a gambler quickly. The martingale strategy has also been applied to roulette, as the probability of hitting either red or black is close to 50%. (Wikipedia).
Stirring the Mandelbrot Set: a checkerboard
http://code.google.com/p/mandelstir/
From playlist mandelstir
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
23. Martingales (Plain, Sub, and Super)
MIT 6.262 Discrete Stochastic Processes, Spring 2011 View the complete course: http://ocw.mit.edu/6-262S11 Instructor: Robert Gallager License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.262 Discrete Stochastic Processes, Spring 2011
Heads-Tails and Heads-Heads are different? The ABRACADABRA Theorem for coin flips and dice #SoME2
Which takes more coin flips to come up on average, Heads-Tails or Heads-Heads? What about HHTT vs HTHT? Find out how long it takes and why using the magical ABRACADABRA Theorem. The method also works for dice rolls, the speeding rule in Monopoly, or a monkey typing at a typewriter. Video
From playlist Summer of Math Exposition 2 videos
Alternators and Dynamos | Magnetism | Physics | FuseSchool
Alternators and Dynamos | Magnetism | Physics | FuseSchool This video is all about alternators and dynamos. They both use magnetic fields to produce electric power. Ships, cars and motorbikes use alternators to charge their batteries. Toys, power tools and your bicycle lights use dynamos.
From playlist PHYSICS: Magnetism
How to Price an Election: A Martingale Approach- Discussion with Dhruv Madeka
Discussion with Dhruv of the paper: Election Pricing: a Martingale Approach and other related works. https://arxiv.org/pdf/1703.06351.pdf
From playlist TOPICS IN APPLIED PROBABILITY
Gambling with the Martingale Strategy - Numberphile
Tom Crawford discussing roulette and gambling with a famed strategy. More Tom videos on Numberphile: http://bit.ly/Crawford_Videos More links & stuff in full description below ↓↓↓ Tom Crawford's website, with links to his work and other outreach: https://tomrocksmaths.com Numberphile is
From playlist Tom Crawford on Numberphile
15. Graph limits II: regularity and counting
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Prof. Zhao explains how graph limits can be used to gener
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Twenty third SIAM Activity Group on FME Virtual Talk Series
Date: Thursday, December 2, 2021, 1PM-2PM ET Speaker 1: Renyuan Xu, University of Southern California Speaker 2: Philippe Casgrain, ETH Zurich and Princeton University Moderator: Ronnie Sircar, Princeton Universit Join us for a series of online talks on topics related to mathematical fina
From playlist SIAM Activity Group on FME Virtual Talk Series
From playlist Training - Turnitin
FRESNEL LENS FIBER OPTIC OPTICAL CABLE Solar Lighting
This is a Spot Fresnel Lens focused on composite Fiber Optic Cable. This is a fiber optic ponytail.
From playlist THE FRESNEL LENS SOLAR POWER
Win a SMALL fortune with counting cards-the math of blackjack & Co.
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Curious about how it is possible to make money in a casino, for example, by counting cards in Blackjack?
From playlist Recent videos
24. Martingales: Stopping and Converging
MIT 6.262 Discrete Stochastic Processes, Spring 2011 View the complete course: http://ocw.mit.edu/6-262S11 Instructor: Robert Gallager License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.262 Discrete Stochastic Processes, Spring 2011
Monte Carlo Simulation and Python 5 - Martingale Strategy
Monte Carlo Simulation with Python Playlist: http://www.youtube.com/watch?v=9M_KPXwnrlE&feature=share&list=PLQVvvaa0QuDdhOnp-FnVStDsALpYk2hk0 In this video, we create a bettor who doubles down on every loss. This is known as the Martingale Strategy. In the Monte Carlo simulation with Py
From playlist Monte Carlo Simulation with Python