Share this

Wizard Recommends

Last Updated: August 19, 2016

On This Page

Slot Machine Appendix 4: 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

Wizard Recommends

On This Page