spinswizard
spinswizard
Joined: Feb 14, 2020
  • Threads: 2
  • Posts: 6
February 14th, 2020 at 2:28:02 AM permalink
Hello i am building a simple slot game with free spins bonus feature. I have trouble calculating the payout of the free spins in case that each free spin can retrigger additional ones. Could you give me some intuition on how to proceed, because i ant to include it in the hit statistics
Mission146
Mission146
Joined: May 15, 2012
  • Threads: 122
  • Posts: 12554
February 14th, 2020 at 6:03:45 AM permalink
Probably the first thing you can do to make it easier is set a cap for the maximum number of free spins.
Vultures can't be choosers.
DRich
DRich
Joined: Jul 6, 2012
  • Threads: 69
  • Posts: 5752
February 14th, 2020 at 7:19:45 AM permalink
I also struggled with that. I just used simulation to average it.
Living longer does not always infer +EV
CrystalMath
CrystalMath
Joined: May 10, 2011
  • Threads: 8
  • Posts: 1806
February 14th, 2020 at 8:17:50 AM permalink
Itís pretty easy once you get a handle on it.

Letís say you start with 10 spins and you can retrigger 3 different ways:
1. 3 scatters, probability = 0.02, extra games = 5
2. 4 scatters, probability = 0.01, extra games = 10
3. 5 scatters, probability = 0.003, extra games = 20

So, from each initial game, you expect to retrigger 0.02*5 + 0.01*10 + 0.003*20 = 0.26 games

The total is an infinite series, which is easily calculated as:
10/(1-0.26) = 13.51
I heart Crystal Math.
spinswizard
spinswizard
Joined: Feb 14, 2020
  • Threads: 2
  • Posts: 6
February 20th, 2020 at 7:30:46 AM permalink
Thanks, i was struggling to calculate the pay amount of each FS, not the average number of FS itself :) Turned out it was pretty simple
RTP_FS * Average Number of FS :))

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