February 14th, 2020 at 2:28:02 AM
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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

February 14th, 2020 at 6:03:45 AM
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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.

February 14th, 2020 at 7:19:45 AM
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I also struggled with that. I just used simulation to average it.

Living longer does not always infer +EV

February 14th, 2020 at 8:17:50 AM
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It’s pretty easy once you get a handle on it.

Let’s 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

Let’s 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.

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