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3 Big Six
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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.
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- The game features three vertical wheels, each with 32 stops. The distribution of symbols on each reel is shown below.
- The player may bet on which symbol any one wheel will stop on.
- 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.
External Links
Wizard of Vegas — Discussion about this game.