System salesmen often promise ridiculous advantages. For instance, even with only a 1% advantage on an even cash guess, it would not be troublesome to parlay $a hundred into $1,000,000 by betting in proportion to bankroll. I used to be asked to prove this claim so I wrote a pc simulation primarily based on the toss of a biased coin, with a 50.5% probability of successful. At all times the player guess 1% of his bankroll, rounded right down to the nearest greenback. However, if a winning guess would put the player over $1,000,000 then he solely guess as much as he wanted to get to precisely $1,000,000. As well as, I ran simulations with a 2% advantage and for a beginning bankroll of $1,000. Following are the results of all 4 exams.

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