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Monopoly Big Spin
Introduction
Monopoly Big Spin is a thrilling game developed by Scientific Games, available for play at Draft Kings. This game follows the big six format where players place bets on the stopping point of a prize wheel. Certain wagers can result in unexpected wins determined by a Bonus Wheel mechanism.
Rules
- The game features a spinning wheel with various possible outcomes that players can wager on. The table below outlines the different betting options and their corresponding payouts.
- All wins are on a \"to one\" basis.
- Should a player place a bet on one of the eight colors, utilities, or railroads, and if the wheel halts in one of those sections, they will receive a reward according to the odds specified in the table.
- Landing on Chance, Community Chest, Go, or Free Parking will activate the Bonus Wheel, with potential rewards displayed below.
- Winning on Chance and Community Chest will result in a single spin of the Bonus Wheel.
- A win on Go will offer a payout of 40 plus one additional spin on the Bonus Wheel.
- Wins from Free Parking will amount to 30 plus the total of two spins on the Bonus Wheel.
Pay Table
| Bet | Fixed Win | Bonus Spins |
|---|---|---|
| Brown | 5 | 0 |
| Light blue | 6 | 0 |
| Pink | 7 | 0 |
| Orange | 8 | 0 |
| Red | 10 | 0 |
| Yellow | 12 | 0 |
| Green | 17 | 0 |
| Dark blue | 25 | 0 |
| Railroad | 12 | 0 |
| Utilities | 12 | 0 |
| Chance | 0 | 1 |
| Community Chest | 0 | 1 |
| Go | 40 | 1 |
| Free Parking | 30 | 2 |
Bonus Wheel
| Bet | Pays |
|---|---|
| Advance to St. Charles Place | 5 |
| Beauty Contest | 8 |
| Inherit Money | 9 |
| Stock sale | 10 |
| Take a Ride on the Reading | 10 |
| Advance to Go | 20 |
| Elected Chairman | 20 |
| Advance to Boardwalk | 30 |
| Bank error in your favor | 50 |
| Get out of jail free | 200 |
Example
In the image below, I placed bets on four options that guarantee a win of at least one Bonus Spin.

The wheel lands on Chance, activating one Bonus Spin.

The outcome of the Bonus Wheel is purple, yielding a payoff of 9 to 1.

I wagered $1 on Chance, resulting in a total 'win' (without deducting my lost wagers and including my original bet) amounting to $10.

Analysis
The table below illustrates the potential results of the Bonus Wheel, my approximated weighting, likelihood, and average win contribution. While I do not assert that the weights are entirely precise, they were meticulously selected to achieve an average win of 21.973333, which I believe is accurate based on the provided assistance documentation.
Bonus Wheel
| Win | Pays | Weight | Probability | Expected Win |
|---|---|---|---|---|
| St. Charles | 5 | 66 | 0.220000 | 1.100000 |
| Beauty Contest | 8 | 46 | 0.153333 | 1.226667 |
| Inherit Money | 9 | 36 | 0.120000 | 1.080000 |
| Stock sale | 10 | 27 | 0.090000 | 0.900000 |
| Ride on the Reading | 10 | 27 | 0.090000 | 0.900000 |
| Advance to Go | 20 | 23 | 0.076667 | 1.533333 |
| Elected Chairman | 20 | 23 | 0.076667 | 1.533333 |
| Advance to Boardwalk | 30 | 22 | 0.073333 | 2.200000 |
| Bank error | 50 | 17 | 0.056667 | 2.833333 |
| Get out of jail free | 200 | 13 | 0.043333 | 8.666667 |
| Total | 300 | 1.000000 | 21.973333 |
The subsequent table displays all possible wagers, average payouts, winning probabilities, and expected returns.
Return Table
| Bet | Average Win |
Probability | Expected Return |
|---|---|---|---|
| Brown | 5 | 0.153333 | 0.920000 |
| Light blue | 6 | 0.136190 | 0.953333 |
| Pink | 7 | 0.119167 | 0.953333 |
| Orange | 8 | 0.102222 | 0.920000 |
| Red | 10 | 0.085152 | 0.936667 |
| Yellow | 12 | 0.068205 | 0.886667 |
| Green | 17 | 0.051111 | 0.920000 |
| Dark blue | 25 | 0.034100 | 0.886600 |
| Railroad | 12 | 0.068205 | 0.886667 |
| Utilities | 12 | 0.068205 | 0.886667 |
| Chance | 20.973333 | 0.043576 | 0.957500 |
| Community Chest | 20.973333 | 0.043576 | 0.957500 |
| Go | 60.973333 | 0.014469 | 0.896700 |
| Free Parking | 72.946667 | 0.012489 | 0.923500 |