Slot machine appendix 5 — The 21 Bell slot machine
Last Update: Apr. 2, 2013
Analysis of 21 Bell Slot Machine
This appendix attempts to show how return for the21 Bell Slot Machine is calculated.
Table 1 shows the frequency of each symbol(s) on eachreel. Each stop is equally likely.
Table 2 shows the frequency of each symbol on each reel.
Table 3 shows the number of combinations of each payingcombination (probability combinations) and the expectedreturn for each paying combination over all possibleoutcomes (return combinations).
The bottom row of table 3 shows 1073 probability combinations and 7556 return combinations. With 20 stops on each reel the total combinations is 203=8000. So the probability of any win (hit frequency) is 1073/8000 =13.41%. The machine's expected return is 7556/8000 =94.45%.
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