Coin flipping is an action often used in everyday life and probability theory (for example, in a Turing probabilistic machine ) as a “ random generator ” that gives the receiver two possible signals: “ eagle ” (coat of arms) or “ tails ” (coin value). It can be used both as a game ( toad ) and, if necessary, making a random decision of two equally acceptable ones (for example, when drawing lots in various sports).
Coin Physics
Theoretical and experimental analysis shows that the result is predictable to a certain extent, at least if the initial data are known - location , speed and angular momentum . A coin toss can well be considered as a task from the field of Lagrangian mechanics . Important aspects are the rotational movement of the coin, its uneven fluctuations , as well as the possibility of a rebound when falling at the end of the trajectory .
The problem of predicting the result of a coin toss was dealt with by Percy Deaconess (American mathematician and former professional illusionist ) and his staff. They demonstrated that when using a mechanical tosser that is capable of throwing with strictly specified parameters, the drop-out result is very predictable [1] .
Moreover, they theoretically and experimentally proved that there is a technique that allows you to flip a coin so that it does not flip over, and outwardly the throw will look the most ordinary. Such a technique can be mastered, say, by magicians or professional players [1] .
In rare cases, as a result of a toss, the coin can stand on the edge (for a 5- cent coin, the probability is approximately 1/6000) [2] .
See also
- Eaglet
- Tu-up
- Player Busting Challenge
Links
- ↑ 1 2 P. Diaconis with S. Holmes and R. Montgomery. Dynamical Bias in the Coin Toss. // SIAM Review 49 (2): p. 211-235.
- ↑ Daniel B. Murray, Scott W. Teare. Probability of a tossed coin landing on edge. // Physical Review E, vol. 48, October 1993, p.2547-2552.