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Gamblers Ruin! - Education - Nairaland

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Gamblers Ruin! by deolurexy1(m): 5:23pm On May 14, 2018
The term gambler's ruin is a statistical concept expressed in a variety of forms:

The original meaning is that a persistent gambler who raises his bet to a fixed fraction of bankroll when he wins, but does not reduce it when he loses, will eventually and inevitably go broke, even if he has a positive expected value on each bet.
Another common meaning is that a persistent gambler with finite wealth, playing a fair game (that is, each bet has expected value zero to both sides) will eventually and inevitably go broke against an opponent with infinite wealth. Such a situation can be modeled by a random walk on the real number line. In that context it is provable that the agent will return to his point of origin or go broke and is ruined an infinite number of times if the random walk continues forever.
The result above is a corollary of a general theorem by Christiaan Huygens which is also known as gambler's ruin. That theorem shows how to compute the probability of each player winning a series of bets that continues until one's entire initial stake is lost, given the initial stakes of the two players and the constant probability of winning. This is the oldest mathematical idea that goes by the name gambler's ruin, but not the first idea to which the name was applied.


In summary, stop loosing your finite wealth to those with infinite wealth(bet9ja, baba ijebu). Unelse you will go broke a million times.

#Markovsprocess

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