Thread: How to calculate Expected return for a series of probabilities.

Hello,

This is about roulette project on which I am working for a while and can't figure out a formula:

the original table which describes this problem visualy is located at this Martingale: double after every loss system
At the end of this table are general formulas, but my problem are last 3 colums of this table named E, F and G ("Average bet", "Bet units" and "Player edge")
this formulas are ok for system where we double a bet each time after loose, but how do I calculate this when raising a bet 3 or more times each turn?

this is formula 1-2ⁿp^{n
where n = number of loost spin
and p = initial probability to loose}

I need a formula similar to this so that it will calculate the case when doubling 4 times or more times per spin.
also equation G=F/E must match


thank you!
~codekiddy

Please somebody take a time and at least give some sugestion.
You know the fealing when nobody reply to your thread

Your valueable sugestions will be much appreciated!