PPT-Coin tossing sequences

Martin Whitworth MBWhitworth Toss a coin repeatedly until we get a particular sequence eg HTT T T T H H T H T T 9 tosses How many tosses on average Is it the same for all sequences. An ideal unb iased coin might not correctly model a real coin which could be biased slightly one way or another Afte r all real life is rarely fair This possibility leads us to an interesting mathematical an d computational question Is there some wa Our worldwide customer base is served through a network of SCAN COIN companies and distribution partners covering some 120 countries SCAN COIN develops manufactures and markets equipment and integrated solutions for handling banknotes and coins and An ideal unbiased coin might not correctly model a real coin which could be biased slightly one way or another After all real life is rarely fair This possibility leads us to an interesting mathematical and computational question Is there some way w Three of these proble ms are of Winkler type that is they are challenges for a clairvoya nt demon brPage 2br Edited by brPage 3br Three problems for the clairvoyant demon 11 Introduction Probability theory has emerged in recent decades as a crossr o SWBAT work with the rules of probability. SWBAT find the probability of an event. SWBAT find the probability that an event will not occur. Vocabulary. Experiment: anything that happens for which the result is uncertain. Mathematics in Today's . World. Last Time. We discussed the four rules that govern probabilities:. Probabilities are numbers between 0 and 1. The probability an event does . not. occur is 1 minus the probability that it . THEORY. T. Introduction to Probability . T. heory. History and Relevance of probability theory. Probability theory began with the study of game of chance that were related to gambling, like throwing a die, drawing a card from a deck of card, tossing a coin , etc.. Eran Omri, Bar-Ilan University. Joint work with . Amos Beimel . and . Ilan Orlov, BGU . Ilan. . Orlov. …!??!!. Coin Tossing. 2. What is the minimal bias for multiparty coin-toss. ?. Coin tossing is a basic primitive in secure computation. Martin Whitworth. @. MB_Whitworth. Toss a coin repeatedly until we get a particular sequence.. e.g. HTT. T. T. T. H. H. T. H. T. T. 9 tosses. How. many tosses on average?. Is it the same for all sequences?. The game and each extra period is started with a jump ball unless a technical foul . occurs or . a . player . violates during the dead ball which precedes the start of the game or . each extra . period.. Year 8 Mathematics. Probability. Learning Intentions. You . should:. Understand the . terms . impossible. , unlikely, likely and certain. Know that the probability scale goes from 0 to 1. Be able to calculate the probability of an event occurring. Coin tossing sequences Martin Whitworth @ MB_Whitworth Toss a coin repeatedly until we get a particular sequence. e.g. HTT T T T H H T H T T 9 tosses How many tosses on average? Is it the same for all sequences?  . Fourth stage. By:. MSC. Ridhab Sami. . Al-. Mustaqbal. University College. Department of Computer Engineering Techniques. Lecture 1. Probability. Probability. : . is the study of randomness and uncertainty. Third. Edition, By Michael Baron. Chapter 2: Probability. CIS 2033. Computational Probability and Statistics . Pei Wang. Events and probability. Intuitively speaking, the . probability. of an event is its .