Gambler's ruin is a term of gambling terminology as well as the gambler's conceit and the gambler's fallacy. This term is applied for signifying few related conceptions of the theory of probability.
Probability is a means to express the belief that some event will happen or has already happened.
Speaking about the gambler's ruin it is necessary to mention three main statistical ideas of roulette betting which are interconnected.
Actually, the gambler's ruin is another name for the Huygens' theorem. Christian Huygens is a prominent mathematician and physicist of the 17th century. His theorem demonstrates how it is possible to calculate the probability that the gambler will win a series of bets until the other player's stake is lost. It is on condition that the initial stakes and the probability of winning are known.
It is considered that the casino player always has a limited bankroll, whereas the casino possesses a measureless amount of money. The idea of the gambler's ruin is that the player will never win all the casino money. Whilst the casino has all the opportunities to take all the player's money. The advantage is the important thing and the casino has it. So, after a range of small wins the gambler can lose more than he won.
It is naturally that every gambler always wants to win. And when he has not a lot of money left, he tries to show the desire to win and to try again. The player will rather prefer this variant to going home with a little amount of money left. This is the gambler's ruin - the casino keeps winning.
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