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September 29th, 2014, 04:27 AM   #1
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Payout percentage of a slot with free spins and changing multiplier

Hello community of mymathforum,
I have run into a problem that I can't solve, hopefully somebody here knows the answer or he/she can point me to the right direction.
I'm writing a tool to test a slot game. I don't know the reels (symbols composing the reels) of the game, but through my tool, I can collect all (hopefully (Tongueout)) of the information I need.
The thing that I'm missing is the formula to calculate the payout percentage.
The game has reelset for the "main" game and another one for the "free spins".
I calculate the PoP of the main game which is 60.746115 %.
Every time a free spin is triggered is gives the player 15 free spins.
The free spins have an initial multiplier by 2 (first time they get triggered in the main reelset). So every win combination in here gets multiplied by 2.
Every time a free spin is retriggered in the initial free spins round (free spins reelset) the multiplier gets up by one. So if the initial trigger of free spins is 2 if it retriggers it becomes 3, and if it retriggers again it becomes 4, and so on.
The probability of a free spin to be triggered from a normal reelset is 0.05859375
The probability of a free spin to be retriggered from a free spin reelset is 0.2447047766
The virtual PoP of free spins (virtual because you don't spend any actual credits in them) is 162.1783335454 if you don't count the 2 multiplier or 324.3566670908 with the multiplier (2).

Up to now I can get the PoP of a game where the multiplier is stable throughout the retriggers. But in this game thing are different.

By the way here is the output the tester gives me

Quote:
+======================== SUMMARY ========================
+====================== NORMAL GAME ======================
+-NORMAL GAMES - CREDITS PLAYED: 318504960
+-NORMAL GAMES - CREDITS WON: 193479390
+-NORMAL GAMES - PAYOUT PERCENTAGE: 60.746115
+-NORMAL GAMES - COMBINATIONS PLAYED: 35389440
+-NORMAL GAMES - WINNER GAMES: 11836800
+-NORMAL GAMES - LOSER GAMES: 23552640
+======================= FREE GAME =======================
+-FREE GAMES - CREDITS PLAYED: 257662359
+-FREE GAMES - CREDITS WON (WITH MULTI): 835745040
+-FREE GAMES - CREDITS WON (NO MULTI): 417872520
+-FREE GAMES - PAYOUT PERCENTAGE NO MULTI (RAW): 1.62178333545413
+-FREE GAMES - PAYOUT PERCENTAGE NO MULTI: 162.1783335454
+-FREE GAMES - INITIAL MULTIPLIER: 2
+-FREE GAMES - PAYOUT PERCENTAGE WITH MULTI (RAW): 3.24356667090826
+-FREE GAMES - PAYOUT PERCENTAGE WITH MULTI: 324.3566670908
+-FREE GAMES - COMBINATIONS PLAYED: 28629151
+-FREE GAMES - COMBINATIONS WINNER: 20480832
+-FREE GAMES - COMBINATIONS LOSER: 8148319
+-FREE GAMES - FREE SPINS TRIGGERED COUNTER (FROM NORMAL GAMES): 2073600
+-FREE GAMES - FREE SPINS RETRIGGERED COUNTER (FROM FREE GAMES): 7005690
+-FREE GAMES - TOTAL FREE SPINS: 9079290
+-FREE GAMES - RETRIGGER PROB (RAW): 0.244704776610386
+-FREE GAMES - RETRIGGER PROB: 24.47047766104
+-FREE GAMES - FREE GAME PROB (RAW): 0.05859375
+-FREE GAMES - FREE GAME PROB : 5.859375
+-FREE GAMES - Prt (RETRIGGER PROB): 24.47047766104% (RAW: 0.244704776610386)
Any help will be greatly appreciated. Sorry for the long post.

Last edited by uruz7; September 29th, 2014 at 04:32 AM.
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September 29th, 2014, 08:25 AM   #2
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I don't know enough about slots to help you.
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