Investigation of Fair Coin Tossing Mechanism and Chances Dependence
Disputes are often resolved through coin tosses, providing equal winning chances. This study delves into how tossing mechanisms and coin properties impact these chances, exploring theories, experiments, and points for discussion related to the process.
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Presentation Transcript
Opposition to the problem 8 Fair coin IYNT 2018 TEAM OF BELARUS OPPONENT: MARYIA TOMASHUK
Statement IN MANY CASES, DISPUTES ARE RESOLVED WITH THE COIN TOSS. IT IS PROCEDURE GIVES EQUAL CHANCES OF WINNING TO BOTH SIDES. INVESTIGATE HOW DO CHANCES DEPEND ON THE TOSSING MECHANISM AND THE COIN PROPERTIES. PRESUMES THAT THIS
Theory WEAKNESSES STRENGTHS Law of large numbers; Probability theory; Displacement of barycenter; No proving of randomness; Almost no parameters of the coin;
Experiment WEAKNESSES STRENGHTS Only one machine (no machine proving probability theory); No comparing different surfaces using one set ups; Displacement of the barycenter wasn t measured A lot of tosses; Comparing theory and experiment; Analysis of tosses; Hand and machine set up; Different coins; Properties of the coin;
Points for the discussion Displacement of barycenter Does the material of the coin influence the results What about physical forces What is coin made of material and covered with another
