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Last Updated: November 28, 2017

# The Wizard's Fruit Slot

## Introduction

This appendix explains how the Wizard's Fruit Slot was designed. This is a typical three reel slot machine, designed in the same way similar multi-payline machines work in the casinos. Click image to play.

The paytable for this game is as follows.

### Fruit Slot Pay Table

Payline Pays
Three globes 500
Three bars 100
Three plums 50
Three bells 20
Three oranges 15
Three cherries 10
cherry-cherry-any 5
cherry-any-any 2

The next table shows how often each symbol occurs on each reel.

### Symbol Distribution

Symbol Reel 1 Reel 2 Reel 3
Cherry 5 2 3
Orange 4 4 4
Bell 3 4 4
Globe 1 1 1
Plum 3 3 1
Lemon 3 5 6
Bar 1 1 1
Total 20 20 20

Once we know the paytable and how often each symbol occurs on each reel is it just a matter of simple math to determine the return of each paying combination.

Probability of three globes =(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
Probability of three oranges =(4/20)*(4/20)*(4/20)=64/8000=0.008000
Probability of three cherries =(5/20)*(2/20)*(3/20)=30/8000=0.003750
Probability of two cherries =(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

The return of each paying combination is the product of the probability and what it pays:

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

The total of all the returns is 0.965000. In other words the theoretical return of this machine is 96.5%.

Go black to slot machines.

Written by: Michael Shackleford

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