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Mathematical Monte Carlo Method

Started by ScoobyDoo, Dec 03, 05:50 AM 2010

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ScoobyDoo

Hi Guys,

I put this post here because I don't think many guys look at the Math Reference section.

I'm looking for you math mongers who will take a look at this link:

:.en.wikipedia.org/wiki/monte_carlo_method

It speaks of a math method that might be applicable to predicting numbers in roulette. I have read it several times but it is over my head. Please take a look at it and then report your findings back here to this thread. I will appreciate it so much.

Scooby Doo

Bayes

Hi Scooby,

The monte carlo method isn't really applicable to picking numbers or designing roulette methods, it's more of a methodology of using random numbers to model (or simulate) complex real-world scenarios (such as investigating the possible range of prices in a market). These kinds of scenarios aren't amenable to being analysed mathematically because of their complexity, although you CAN use the method for simple problems like finding the area of a circle.

In principle, any roulette method or system can be analysed mathematically. By that I mean that it's possible to generate formulas and equations which give probabilities for the various events which you're interested in.  But if you want to investigate some other scenario in the world where formulas can't be derived (for instance, you can't come up with a probability formula for the choices people make in buying stocks and shares), then you have to resort to other methods to get some answers (or at least, to try find the limits within which the answers may lie). That's where monte carlo methods come in.  With regard to roulette, even though formulas are available, in practice it's often easier to write a computer program (a simulation) which will put the system though it's paces and generate results and probabilities.

In a sense, roulette itself is a random number generator which could be used to model other processes or events, so using monte carlo methods on roulette would be like trying to use the method to investigate itself!  Another way of looking at it is to say that whenever we test or simulate a system, we are already using monte carlo methods - you could think of any roulette system as a way of investigating the properties of random numbers.
"The trouble isn't what we don't know, it's what we think we know that just ain't so!" - Mark Twain

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