Variants of random walks | Probability problems
The gambler's ruin is a concept in statistics. It is most commonly expressed as follows: A gambler playing a game with negative expected value will eventually go broke, regardless of their betting system. The concept was initially stated: A persistent gambler who raises his or her bet to a fixed fraction of the gambler's bankroll after a win, but does not reduce it after a loss, will eventually and inevitably go broke, even if each bet has a positive expected value. Another statement of the concept is that a persistent gambler with finite wealth, playing a fair game (that is, each bet has expected value of zero to both sides) will eventually and inevitably go broke against an opponent with infinite wealth. Such a situation can be modeled by a random walk on the real number line. In that context, it is probable that the gambler will, with virtual certainty, return to his or her point of origin, which means going broke, and is ruined an infinite number of times if the random walk continues forever. This is a corollary of a general theorem by Christiaan Huygens, which is also known as gambler's ruin. That theorem shows how to compute the probability of each player winning a series of bets that continues until one's entire initial stake is lost, given the initial stakes of the two players and the constant probability of winning. This is the oldest mathematical idea that goes by the name gambler's ruin, but not the first idea to which the name was applied. The term's common usage today is another corollary to Huygens's result. Gambler's ruin should not be confused with the gambler's fallacy, a different concept. The concept has specific relevance for gamblers. However it also leads to mathematical theorems with wide application and many related results in probability and statistics. Huygens's result in particular led to important advances in the mathematical theory of probability. (Wikipedia).
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
Billion Dollar Wreck: The Coin Expert | History
In an effort to really understand the treasure sitting at the bottom of the sea, Grant enlists the help of professional numismatist Tom Caldwell in this web exclusive. #BillionDollarWreck Subscribe for more from Billion Dollar Wreck and other great HISTORY shows: http://histv.co/Subscrib
From playlist Billion Dollar Wreck | Official Series Playlist | History
MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: Patrick Jaillet License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu
From playlist MIT RES.6-012 Introduction to Probability, Spring 2018
Billion Dollar Wreck: Diver Safety in the Deep Sea | History
Commercial deep sea diving is one of the most dangerous jobs out there, but the "two is one, one is none" rule helps to keep it safer. Learn more in this web exclusive. #BillionDollarWreck Subscribe for more from Billion Dollar Wreck and other great HISTORY shows: http://histv.co/Subscri
From playlist Billion Dollar Wreck | Official Series Playlist | History
Billion Dollar Wreck: Lobster Feast | History
After diver Mark Bowman's near-death accident, team morale is at a low, so Tim attempts to rally the troops with a New England lobster feast in this web exclusive. #BillionDollarWreck Subscribe for more from Billion Dollar Wreck and other great HISTORY shows: http://histv.co/SubscribeHis
From playlist Billion Dollar Wreck | Official Series Playlist | History
Probability and sports by Yogeshwaran
PROGRAM : SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS ORGANIZERS : Siva Athreya and Anita Naolekar DATE : 13 May 2019 to 24 May 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore The summer school is intended for women students studying in first year B.A/B.Sc./B.E./B.Tech.
From playlist Summer School for Women in Mathematics and Statistics 2019
The Great Gambler (1979) - Hindi Full Movies - Amitabh Bachchan - Zeenat Aman -Neetu Singh- 70's Hit
Download the app now and share it with all the asli fans https://shemaroome.app.link/0XZ0pmF9cX Give a missed call on 18002665151 www.shemaroome.com Movie Starts At 00:25 Amitabh Best Scene 54:50 Best Scene 2:02:32 Watch The Great Gambler - Amitabh Bachchan, Zeenat Aman & Neetu Singh -
From playlist Hindi Movies
Billion Dollar Wreck: A Day in the Life | History
Issue after issue with the mission means the crew has some downtime. See how they spend it in this web exclusive. #BillionDollarWreck Subscribe for more from Billion Dollar Wreck and other great HISTORY shows: http://histv.co/SubscribeHistoryYT Find out more about the show and watch ful
From playlist Billion Dollar Wreck | Official Series Playlist | History
The History Guy Podcast: The Wild West: The Outlaw Who Couldn't Ride a Horse and Soapy Smith
Joshua Geiger, The History Guy's son, chats with THG about the creation of episodes of forgotten history and trivia in a behind-the-scenes look at The History Guy channel. Find the podcast on your favorite podcast app with RSS feed: https://feeds.captivate.fm/thehistoryguy/ On this episod
From playlist Podcast
16. Film in the 1970s, Part II
MIT 21L.011 The Film Experience, Fall 2007 View the complete course: http://ocw.mit.edu/21L-011F07 Instructor: David Thorburn License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 21L.011 The Film Experience, Fall 2007
Financial Markets (ECON 252) The exchanges in which stocks and other securities are traded serve an important function in finance. They bring together people interested in buying and selling securities in order to create a universal price. Brokers and dealers are also an important part
From playlist Financial Markets (2008) with Robert Shiller
Billion Dollar Wreck: The Ship's in Bad Shape (S1, E1) | History
A submersible locates the wreckage of the Republic, but it's in far worse shape than the team was expecting in this collection of scenes from "The Mysterious Treasure of the Republic." #BillionDollarWreck Subscribe for more from Billion Dollar Wreck and other great HISTORY shows: http://h
From playlist Wealth & Money | History
16. American Film in the 1970s, Part II (2007)
MIT 21L.011 The Film Experience, Fall 2013 View the complete course: http://ocw.mit.edu/21L-011F13 Instructor: David Thorburn Continue the discussion of transformation and subversion in 1970s films, specifically as embodied in the work of director Robert Altman. Detailed preview of McCabe
From playlist MIT 21L.011 The Film Experience, Fall 2013
Yes. I make mistakes ... rarely. http://www.flippingphysics.com
From playlist Miscellaneous
Random Walks in Science by Mustansir Barma
Courtesy: 39:07 - https://www.youtube.com/watch?v=QxNSw7wI6Ro 4pm to 6pm Sunday, 09 April 2017 WHERE: St. Joseph’s College, 36, Lal Bagh Main Road, Langford Gardens, Bengaluru 27 The element of chance enters in a crucial way not only in our daily affairs, but also in practically every
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)
Random Genetic Drift by Kavita Jain
DISCUSSION MEETING: SECOND PREPARATORY SCHOOL ON POPULATION GENETICS AND EVOLUTION ORGANIZERS: Deepa Agashe (NCBS-TIFR, India) and Kavita Jain (JNCASR, India) DATE & TIME: 20 February 2023 to 24 February 2023 VENUE: Madhava Lecture Hall, ICTS Bengaluru We plan an intensive 1-week prepar
From playlist SECOND PREPARATORY SCHOOL ON POPULATION GENETICS AND EVOLUTION