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Casinos - Randomness and Hidden Patterns
Most casino games are based on chance and both online and live casinos make extensive use of random number generators but what do we mean by random?

Take tossing a coin and recording the results, or rolling a dice or spinning a roulette wheel. As there are no apparent patterns we assume the processes to be random. But are they really random or are we simply missing something? After all, things that were once thought random, such as the weather, are now known not to be. Also statistical patterns do occur in random events and chaos theory has demonstrated that order is not the direct opposite of chaos.

If what happens next, say the next flip of the coin or spin of the wheel, is completely independent of what happened previously, then that is a random system. For example, even if there have been twenty successive reds, the chances of the next spin being red or black are the same.

If a system is not independent and random as described above it is known as ordered, for instance the rise and fall of the tides.

Over time when tossing a coin there is an equal frequency of heads and tails. The probability is 1/2. This is described by the law of large numbers and the reason why the numbers of heads and tails tends to even out over time is simply due to the large number of times it has been tossed.

But if the coin has no memory, how does it know that it should obey the law of averages? In fact neither a coin nor a roulette wheel is a random system. The coin is a disc that when tossed obeys the usual physical laws of motion so in theory if all these could be measured it should be possible to predict the outcome.

In principal you can, but in fact the smallest change in rewards casino, the breath of the wind, the amount of perspiration on the finger, all affect the trajectory of the coin in a large and unpredictable way.

However, roulette has been beaten by numerous people using mathematical analysis. Although it is not possible to predict the precise final position of the ball, it is possible to compute which sector of the wheel it will end up in which has proven enough to make some people very rich indeed.

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