I'm currently analyzing a new video keno game that has banking/progressive features. While you are playing your numbers the machine makes 4 picks. When 3 of those four numbers hit certain events happen. Calculating the 3 out of 4 frequency is pretty easy:
Total combinations
80X79X78X77/4X3X2X1 = 1,581,580
Combinations that make 3 of 4
20X19X18/3X2X1 = 1,140
1,140X60 = 68,400
Frequency of 3 of 4
1,581,580/68,400 = 23.12
But there is rule in the game that if you don't hit the 3 of 4 in 60 games you are automatically awarded the 3 of 4. This is 2.59 cycles. So the frequency in this spot of hitting the 3 of 4 has to be a little lower than 23.12. I've never encountered this kind of math before. Does anyone know how to do it? If so any help is appreciated.
Posted by: mickeycrimm@yahoo.com
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