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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

  1. 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.
  2. All wins are on a \"to one\" basis.
  3. 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.
  4. Landing on Chance, Community Chest, Go, or Free Parking will activate the Bonus Wheel, with potential rewards displayed below.
  5. Winning on Chance and Community Chest will result in a single spin of the Bonus Wheel.
  6. A win on Go will offer a payout of 40 plus one additional spin on the Bonus Wheel.
  7. 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.

monopoly1

The wheel lands on Chance, activating one Bonus Spin.

monopoly 2

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

monopoly 3

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

monopoly 4

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