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Last Updated: August 17, 2016

3 Big Six

Introduction

3 Big Six is a fully-electronic multi-player game that merges big six with a three-reel slot machine. The game features three spinning wheels. The player may bet on the outcome of any one wheel or the combination of all three. It has been around since at least 2014 and is made by Interblock.

Rules



  1. The game features three vertical wheels, each with 32 stops. The distribution of symbols on each reel is shown below.
  2. The player may bet on which symbol any one wheel will stop on.
  3. The player also bet on the combination of the three wheels, much like a three-reel slot machines. The pay table is shown below.


The following table shows how often each symbol appears on each wheel.

Symbol Distribution

Symbol Stops
7 1
3 Bar 2
2 Bar 3
1 Bar 4
Bell 7
Cherry 15
Total 32

The following table shows what a bet on each symbol pays on each wheel. Despite being an electronic game, pays are on a "to one" basis.

Individual Wheel Pay Table

Symbol Pays
7 30 to 1
3 Bar 14 to 1
2 Bar 9 to 1
1 Bar 6 to 1
Bell 3 to 1
Cherry 1 to 1

The following table shows the pay table for the slot machine bet. Unlike every other slot machine I have ever seen, pays are on a "to one" basis.

Slot Machine Bet Pay Table

Symbol Pays
Three sevens 1000 to 1
Three 3-bars 500 to 1
Three 2-bars 100 to 1
Three 1-bars 25 to 1
Three bars 10 to 1
Any three bells 5 to 1
Three cherries 3 to 1

Analysis



The following table shows the probability and expected value of each bet on an individual wheel.

Individual Wheel Probability and Return Table

Symbol Pays Number
on Wheel
Probability Return
7 30 1 0.031250 -0.031250
3 14 2 0.062500 -0.062500
2 9 3 0.093750 -0.062500
1 6 4 0.125000 -0.125000
Bell 3 7 0.218750 -0.125000
Cherry 1 15 0.468750 -0.062500

The following table shows the probability and contribution to the return for all possible outcomes of the slot machine bet. The lower right cell shows a house edge of 7.06%.

Slot Machine Bet Return Table

Event Pays Combinations Probability Return
Three sevens 1000 1 0.000031 0.030518
Three 3-bars 500 8 0.000244 0.122070
Three 2-bars 100 27 0.000824 0.082397
Three 1-bars 25 64 0.001953 0.048828
Bell 10 343 0.010468 0.104675
Cherry 5 630 0.019226 0.096130
Cherry 3 3,375 0.102997 0.308990
Cherry -1 28,320 0.864258 -0.864258
Cherry 32,768 1.000000 -0.070648

Strategy



With the lowest house edge at 3.125% on the Seven bet on any one wheel, my advice is to bet on that only, if you must play at all.



Wizard of Vegas — Discussion about this game.


Written by: Michael Shackleford

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