# Monopoly Big Spin

## Introduction

Monopoly Big Spin is a game by Scientific Games that can be played at Draft Kings. It is a big six type of game, where the player bets on where a prize wheel will stop. Some bets lead to a random win, as determined by a Bonus Wheel.

## Rules

1. The game uses a wheel with various possible outcomes, each of which the player may bet on. The table below shows the possible bets and what they pay.
2. All wins are on a "to one" basis.
3. If the player bets on any of the eight colors, utilities, or railroads, and the wheel stops in that section, then the player will win according to the odds posted in the table below.
4. Wins are Chance, Community Chest, Go, and Free Parking will trigger the Bonus Wheel. The possible wins of the Bonus Wheel are shown below.
5. Wins on Chance and Community chest will be the outcome of one Bonus Wheel spin.
6. Wins on Go will be 40 plus one spin of the Bonus Wheel.
7. Wins on Free Parking will be 30 plus the sum of two Bonus Wheel spins.

### 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
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
Elected Chairman 20
Bank error in your favor 50
Get out of jail free 200

## Example

In the following image, I bet on the four bets that win at least one Bonus Spin.

The wheel stops on Chance, triggering one Bonus Spin.

The Bonus Wheel lands in purple, which pays 9 to 1.

I bet \$1 on Chance, so my total "win" (not deducting for my lost bets, but including my original bet back) is \$10.

## Analysis

The following table shows the possible outcomes of the Bonus Wheel, my estimate of the weighting, probability, and contribution to the average win. While I do not claim the weights are correct, they were carefully chosen to create an average win of 21.973333, which I do believe is accurate, based on the information provided in the help files.

### 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 following table shows all the available bets, the average win, probability of winning, and expected return.

### 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