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Chaos theory and a little physics predict the outcome at the roulette table

Date:
October 1, 2012
Source:
American Institute of Physics (AIP)
Summary:
With enough information, physics can predict a great deal about the world around us, and that includes the fall of the ball in the game of roulette.

At first glance, a roulette table looks like a jumble of numbers and a randomly hopping little white ball. But with a better understanding of physics and some general knowledge of the starting conditions, it may be possible to shift the odds of winning a little in your favor. According to new research published in the American Institute of Physics' journal Chaos, by knowing some of the starting conditions -- such as the speed of the spin and the rotation of the ball -- this game of chance starts to look a little less random.

Under normal conditions, according to the researchers, the anticipated return on a random roulette bet is -2.7 percent. By applying their calculations to a casino-grade roulette wheel and using a simple clicker device, the researchers were able to achieve an average return of 18 percent, well above what would be expected from a random bet.

With more complete information, such as monitoring by an overhead camera, the researchers were able to improve their accuracy even further. This highly intrusive scheme, however, could not be deployed under normal gambling conditions. The researchers also observed that even a slight tilt in the wheel would produce a very pronounced bias, which could be exploited to substantially improve the accuracy of their predictions.

This model, however, does not take into account the minor changes of the friction of the surfaces, the level of the wheel, or the manner in which the croupier plays the ball -- any of which would thwart the advantage of the physicist/gambler. The gambler, the researchers conclude, can rest assured that the game is on some level predictable, and therefore inherently honest.


Story Source:

The above story is based on materials provided by American Institute of Physics (AIP). Note: Materials may be edited for content and length.


Journal Reference:

  1. Michael Small, Chi Kong Tse. Predicting the outcome of roulette. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012; 22 (3): 033150 DOI: 10.1063/1.4753920

Cite This Page:

American Institute of Physics (AIP). "Chaos theory and a little physics predict the outcome at the roulette table." ScienceDaily. ScienceDaily, 1 October 2012. <www.sciencedaily.com/releases/2012/10/121001110657.htm>.
American Institute of Physics (AIP). (2012, October 1). Chaos theory and a little physics predict the outcome at the roulette table. ScienceDaily. Retrieved September 21, 2014 from www.sciencedaily.com/releases/2012/10/121001110657.htm
American Institute of Physics (AIP). "Chaos theory and a little physics predict the outcome at the roulette table." ScienceDaily. www.sciencedaily.com/releases/2012/10/121001110657.htm (accessed September 21, 2014).

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