# 100-1 Roulette

## Introduction

100-1 Roulette is a game exclusive to Draft Kings, as far as I know. It plays like conventional roulette, but on a wheel with 105 spots the ball can land in.

## Rules

1. The game is played on a wheel containing each number from 1 to 100 as well as symbols for circle, diamond, triangle, star, and square.
2. The following bets are available and what they pay. Wins are on a "to one" basis.
• Individual number of symbol — 100-1.
• Neighbors (two numbers) — 49-1
• Hat (three numbers) — 32-1
• Corner (four numbers) — 24-1
• First column (all five shapes) — 19-1
• Row or column (ten numbers) — 9 to 1
• First two columns (five shapes and ten numbers) — 11-2
• Two rows/columns (20 numbers) — 4-1
• Odd/Even/Red/Black (50 numbers) — 1-1

## Analysis

The following table shows the probability and expected value of all available types of bets. The expected value column shows the best bet is on any single number with a house edge of 3.81% and the worst is the bet on the first two columns (all five shapes and numbers 1 to 10) at a house edge of 7.14%.

### Expected Value Table

Bet Pays Winning Numbers Probability Return
Single number 100 1 0.009524 -0.038095
Two numbers 49 2 0.019048 -0.047619
Three numbers 32 3 0.028571 -0.057143
Four numbers 24 4 0.038095 -0.047619
Five numbers 19 5 0.047619 -0.047619
Ten numbers 9 10 0.095238 -0.047619
Fifteen numbers 5.5 15 0.142857 -0.071429
Twenty numbers 4 20 0.190476 -0.047619
Red/black/odd/even 1 50 0.476190 -0.047619

## Strategy

With the lowest house edge on any one number or shape, bet directly on single numbers and shapes only. Remember, you can break up a bet on anything by breaking up the bet into bets on each individual winning outcome.

For example, suppose you want to bet \$50 on red. If you do and win, you'll win \$50. However, if you make \$1 bets on every red number, you'll have a net win of \$51.