OK. I've had a think about this and come up with the following;
Your expected outcome for each bet = Probability of winning X Amount you win - Probability of Losing X Amount you lose
So the amount of bets you can expect to make with your initial bankroll is your bankroll divided by that number above (multiplied by -1 because your expected outcome will be less than zero if you are being realistic)
If your expected outcome is positive, your money will last forever of course.
Another consideration is that your wins will not be nice and uniform over all of your bets, so the ACTUAL number of bets you get to make will depend on when your wins occur, as demonstrated by the worksheet I put up.
Hope that explains it in a maths sense?
Note: If you randomize your wins (as expected in the real world) by putting this formula in E2 in the worksheet I posted, every time you recalculate (F9), you will get vastly different results.
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