UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2022-07-01 15:56

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Conference: Bucharest University Faculty of Physics 2019 Meeting


Section: Physics Education


Title:
Biased Coin Toss Modeling


Authors:
Alexandru CRACIUN, Tiberius O. CHECHE


Affiliation:
University of Bucharest, Faculty of Physics, P.O.Box MG-11, RO-077125, Măgurele, Romania


E-mail
craciun.alex.1643@gmail.com, tiberiuscheche@yahoo.com


Keywords:
coin toss, probability, rigid body


Abstract:
The torque-free motion of a coin in gravitational field is analyzed for general initial conditions. After launch at the end of motion the coin lands on a soft surface that allows no bouncing. The model assumes the coin is a thin cylindrical rigid body and the air resistance is absent. The motion is described by numerical integration of the Euler equation of motion. Biased probabilities of heads and tails are obtained for various initial conditions accessible to a skilled person.


References: