The Wizard's Fruit Slot

Introduction

This appendix explains how the Wizard's Fruit Slot This is a conventional three-reel slot machine, engineered similarly to multi-payline machines found in casinos.

Click image to play.

Here’s how the payout structure looks for this particular game.

The table below illustrates the frequency of each symbol appearing on every reel.

Knowing the payout structure and symbol frequency on each reel allows us to simply calculate the return from each winning combination.

The likelihood of landing three globes is calculated as follows: =(1/20)*(1/20)*(1/20)=1/8000=0.000125
Probability of three bars =(1/20)*(1/20)*(1/20)=1/8000=0.000125
Probability of three plums =(3/20)*(3/20)*(1/20)=9/8000=0.001125
Probability of three bells =(3/20)*(4/20)*(4/20)=48/8000=0.006000
The chance of landing three oranges works out to =(4/20)*(4/20)*(4/20)=64/8000=0.008000
The probability of getting three cherries is =(5/20)*(2/20)*(3/20)=30/8000=0.003750
For two cherries, the probability is calculated as =(5/20)*(2/20)*(17/20)=170/8000=0.021250

note: must be left aligned
Probability of one cherry =(5/20)*(18/20)*(20/20)=1800/8000=0.225000
note: must be left aligned

To find the return for each paying combination, multiply the probability by the payout amount:

Return of three globes = (1/8000)*500 = .062500
Return of three bars = (1/8000)*100 = 0.012500
Return of three plums = (9/8000)*50 = 0.056250
Return of three bells = (48/8000)*20 = 0.120000
Return of three oranges = (64/8000)*15 = 0.120000
Return of three cherries = (30/8000)*10 = 0.037500
Return of two cherries = (170/8000)*5 = 0.106250
Return of one cherry = (1800/8000)*2 = 0.450000

In total, the returns sum up to 0.965000, indicating that this machine has a theoretical return rate of 96.5%.

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Go black to slot machines .

Written by: Michael Shackleford