Post
Topic
Board Gambling
Re: A delightfully simple spin-the-wheel game (that's provably fair)
by
coolidgecoin
on 17/11/2012, 23:00:46 UTC
Also, I ran my simulator on 1 million plays, and show the average payout over each 10k plays.  It seems to suggest the true house edge is more like 4.25%:

Code:
average return over   10000 spins is 0.982250
average return over   20000 spins is 0.971225; average return over last 10000 spins is 0.960200
average return over   30000 spins is 0.972617; average return over last 10000 spins is 0.975400
average return over   40000 spins is 0.967612; average return over last 10000 spins is 0.952600
average return over   50000 spins is 0.968010; average return over last 10000 spins is 0.969600
average return over   60000 spins is 0.965833; average return over last 10000 spins is 0.954950
average return over   70000 spins is 0.963571; average return over last 10000 spins is 0.950000
average return over   80000 spins is 0.960931; average return over last 10000 spins is 0.942450
average return over   90000 spins is 0.960939; average return over last 10000 spins is 0.961000
average return over  100000 spins is 0.960825; average return over last 10000 spins is 0.959800
average return over  110000 spins is 0.959377; average return over last 10000 spins is 0.944900
average return over  120000 spins is 0.958413; average return over last 10000 spins is 0.947800
average return over  130000 spins is 0.958342; average return over last 10000 spins is 0.957500
average return over  140000 spins is 0.959057; average return over last 10000 spins is 0.968350
average return over  150000 spins is 0.958917; average return over last 10000 spins is 0.956950
average return over  160000 spins is 0.959762; average return over last 10000 spins is 0.972450
average return over  170000 spins is 0.960424; average return over last 10000 spins is 0.971000
average return over  180000 spins is 0.960592; average return over last 10000 spins is 0.963450
average return over  190000 spins is 0.960305; average return over last 10000 spins is 0.955150
average return over  200000 spins is 0.959715; average return over last 10000 spins is 0.948500
average return over  210000 spins is 0.960100; average return over last 10000 spins is 0.967800
average return over  220000 spins is 0.960327; average return over last 10000 spins is 0.965100
average return over  230000 spins is 0.960565; average return over last 10000 spins is 0.965800
average return over  240000 spins is 0.960127; average return over last 10000 spins is 0.950050
average return over  250000 spins is 0.959996; average return over last 10000 spins is 0.956850
average return over  260000 spins is 0.959887; average return over last 10000 spins is 0.957150
average return over  270000 spins is 0.959263; average return over last 10000 spins is 0.943050
average return over  280000 spins is 0.959348; average return over last 10000 spins is 0.961650
average return over  290000 spins is 0.959778; average return over last 10000 spins is 0.971800
average return over  300000 spins is 0.959428; average return over last 10000 spins is 0.949300
average return over  310000 spins is 0.959876; average return over last 10000 spins is 0.973300
average return over  320000 spins is 0.959642; average return over last 10000 spins is 0.952400
average return over  330000 spins is 0.959198; average return over last 10000 spins is 0.945000
average return over  340000 spins is 0.959329; average return over last 10000 spins is 0.963650
average return over  350000 spins is 0.959156; average return over last 10000 spins is 0.953250
average return over  360000 spins is 0.958596; average return over last 10000 spins is 0.939000
average return over  370000 spins is 0.958392; average return over last 10000 spins is 0.951050
average return over  380000 spins is 0.958522; average return over last 10000 spins is 0.963350
average return over  390000 spins is 0.958156; average return over last 10000 spins is 0.944250
average return over  400000 spins is 0.957544; average return over last 10000 spins is 0.933650
average return over  410000 spins is 0.957546; average return over last 10000 spins is 0.957650
average return over  420000 spins is 0.957874; average return over last 10000 spins is 0.971300
average return over  430000 spins is 0.958094; average return over last 10000 spins is 0.967350
average return over  440000 spins is 0.958113; average return over last 10000 spins is 0.958900
average return over  450000 spins is 0.958157; average return over last 10000 spins is 0.960100
average return over  460000 spins is 0.957914; average return over last 10000 spins is 0.947000
average return over  470000 spins is 0.957834; average return over last 10000 spins is 0.954150
average return over  480000 spins is 0.957831; average return over last 10000 spins is 0.957700
average return over  490000 spins is 0.957845; average return over last 10000 spins is 0.958500
average return over  500000 spins is 0.958034; average return over last 10000 spins is 0.967300
average return over  510000 spins is 0.958103; average return over last 10000 spins is 0.961550
average return over  520000 spins is 0.957910; average return over last 10000 spins is 0.948050
average return over  530000 spins is 0.958014; average return over last 10000 spins is 0.963450
average return over  540000 spins is 0.958069; average return over last 10000 spins is 0.960950
average return over  550000 spins is 0.958285; average return over last 10000 spins is 0.970000
average return over  560000 spins is 0.957993; average return over last 10000 spins is 0.941900
average return over  570000 spins is 0.957975; average return over last 10000 spins is 0.956950
average return over  580000 spins is 0.958003; average return over last 10000 spins is 0.959600
average return over  590000 spins is 0.958335; average return over last 10000 spins is 0.977600
average return over  600000 spins is 0.958202; average return over last 10000 spins is 0.950400
average return over  610000 spins is 0.958202; average return over last 10000 spins is 0.958150
average return over  620000 spins is 0.958641; average return over last 10000 spins is 0.985450
average return over  630000 spins is 0.958611; average return over last 10000 spins is 0.956750
average return over  640000 spins is 0.958415; average return over last 10000 spins is 0.946050
average return over  650000 spins is 0.958482; average return over last 10000 spins is 0.962800
average return over  660000 spins is 0.958675; average return over last 10000 spins is 0.971200
average return over  670000 spins is 0.958600; average return over last 10000 spins is 0.953650
average return over  680000 spins is 0.958597; average return over last 10000 spins is 0.958400
average return over  690000 spins is 0.958434; average return over last 10000 spins is 0.947350
average return over  700000 spins is 0.958416; average return over last 10000 spins is 0.957150
average return over  710000 spins is 0.958258; average return over last 10000 spins is 0.947200
average return over  720000 spins is 0.958257; average return over last 10000 spins is 0.958200
average return over  730000 spins is 0.958037; average return over last 10000 spins is 0.942200
average return over  740000 spins is 0.958268; average return over last 10000 spins is 0.975100
average return over  750000 spins is 0.958549; average return over last 10000 spins is 0.979400
average return over  760000 spins is 0.958555; average return over last 10000 spins is 0.959000
average return over  770000 spins is 0.958670; average return over last 10000 spins is 0.967400
average return over  780000 spins is 0.958659; average return over last 10000 spins is 0.957800
average return over  790000 spins is 0.958528; average return over last 10000 spins is 0.948300
average return over  800000 spins is 0.958378; average return over last 10000 spins is 0.946550
average return over  810000 spins is 0.958323; average return over last 10000 spins is 0.953900
average return over  820000 spins is 0.958302; average return over last 10000 spins is 0.956650
average return over  830000 spins is 0.958460; average return over last 10000 spins is 0.971400
average return over  840000 spins is 0.958351; average return over last 10000 spins is 0.949300
average return over  850000 spins is 0.958142; average return over last 10000 spins is 0.940600
average return over  860000 spins is 0.957822; average return over last 10000 spins is 0.930600
average return over  870000 spins is 0.957674; average return over last 10000 spins is 0.944950
average return over  880000 spins is 0.957515; average return over last 10000 spins is 0.943700
average return over  890000 spins is 0.957448; average return over last 10000 spins is 0.951500
average return over  900000 spins is 0.957381; average return over last 10000 spins is 0.951450
average return over  910000 spins is 0.957069; average return over last 10000 spins is 0.929000
average return over  920000 spins is 0.957115; average return over last 10000 spins is 0.961300
average return over  930000 spins is 0.957189; average return over last 10000 spins is 0.964000
average return over  940000 spins is 0.957286; average return over last 10000 spins is 0.966300
average return over  950000 spins is 0.957279; average return over last 10000 spins is 0.956600
average return over  960000 spins is 0.957481; average return over last 10000 spins is 0.976650
average return over  970000 spins is 0.957582; average return over last 10000 spins is 0.967300
average return over  980000 spins is 0.957528; average return over last 10000 spins is 0.952300
average return over  990000 spins is 0.957527; average return over last 10000 spins is 0.957450
average return over 1000000 spins is 0.957537; average return over last 10000 spins is 0.958500

Nice analysis! I do plan on lowering the house edge. 4% seems too high relative to other games. I will post to this thread when completed. 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.

Sanjay