Re: A delightfully simple spin-the-wheel game (that's provably fair)
I might add a special slice on the wheel that is a mega-jackpot (10x or 20x). That will give me an easy parameter to tweak in order to adjust the expected value.
That will increase your variance significantly I think, and so also increase your 'risk of ruin'.
If you're thinking of tinkering with the existing payouts, you can quickly calculate the return to player percentage using:
Code:
>>> 1.5*13.23 + 2*11.88 + 2.5*12.26 + 3*7.21
95.885
95.885
and just changing the 1.5, 2, 2.5, and 3 accordingly.
For instance, changing the 3x to 3.5x gives:
Code:
>>> 1.5*13.23 + 2*11.88 + 2.5*12.26 + 3.5*7.21
99.49
99.49
Edit: notice that the 2.5x payout happens slightly more often than the 2x payout. Most games reserve the bigger payouts for rarer events.
