What Is the Probability of Winning in a Gambler's Ruin Scenario?

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SUMMARY

The probability of winning in a Gambler's Ruin scenario, where a gambler starts with £1 and aims to reach £100 with equal chances of winning or losing, can be modeled using simulation techniques in MATLAB. The discussion highlights the use of nested loops, specifically recommending two nested "while" loops to effectively simulate the gambling process. The outer loop manages the overall game progression, while the inner loop handles the win/loss conditions. This approach allows for a clear structure to calculate the probability of achieving the goal.

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AASaunders
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Hi guys, I have been given a problem to complete, but at the moment my progress has been minimal.

A gambler has £1 to gamble, he plays a game in which the probability of winning and losing are equal. If he wins he gains a pound, and loses a pound if he does not win. He starts with £1 and must stop once he has no money remaining. He has a goal of £100, if he achieve this he will stop and consider himself to have beat the casino. What is the probability of the gambler winning?

I have only had two classes on using Matlab since September, thus I am not very experienced.

To complete this problem I know I need to use nested For loops but I just don't know where to start, so any guidance would be appreciated very much.
 
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Hello AASaunders,

I would say it would be easier with 2 nested "while" loops.

The outer one to make sure you get a few wins, the inner one to break free of the game once you lose or win.

J.
 

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