Example of typical losing system: Consider betting on RED. If you lose, double your bet on RED for the next spin. If you lose again, you increase your bet again and so on until you profit or lose everything.

Roulette Double Bet On Loss Carryback
Roulette Double Bet Strategy
Roulette Double Bet On Loss Options
Roulette Double Bet On Loss Carryover
Roulette Double Bet On Loss Carryforward

If we bet $1 on red and green or black occurs, then we lose the dollar that we bet. This results in net winnings of -1. The random variable X defined as the net winnings from betting on red in roulette will take the value of 1 with probability 18/38 and will take the value -1 with probability 20/38.
Most casinos will not allow such a bet. Alas, it turns out that the double-down strategy, although deceptively appealing, is no different from other roulette bets: In the long run, the gambler will still lose at the rate of $.053 per dollar bet. It should be noted that the double-down strategy says to quit as soon as you win.

Introduction

Double Ball Roulette plays like regular roulette, except with two balls. I first saw the game at the 2013 Global Gaming Expo and later at the Tropicana in Las Vegas on February 18, 2014. The Tropicana uses a double-zero wheel.

Later, in November, 2016, I noticed it at an Internet casino using Felt software. Felt uses a single-zero wheel.

You might wonder about how they keep the balls from hitting each other in a physical game. The game uses compressed air to shoot the two balls out of a tube almost simultaneously. They travel at the same speed so the second ball always trails the first one.

You might also wonder if the probability of the two balls landing in the same number is about the expected 1/38, assuming they the two outcomes were completely independent. At least I wondered this and annoyed the game maker with physics questions at the gaming show for much too long about it. He assured me that an independent lab did tens of thousands of spins and the probability of the two balls landing the same number is about the expected 1/38, assuming they two outcomes were completely independent.

The betting layout is mostly the same as standard roulette. With the inside bets, the player has two chances to win, but the pays are less. On the outside bets, both balls must win, but the pays are more. In addition the player may bet that both balls will land in any one number.

Rules

General Rules

An ordinary single- or double-zero wheel is used.
Most of the layout is the same as conventional roulette.
Two balls are used.
Both balls must be successful for 'outside' bets to win. For example, for a bet on Red win, both balls must land in a red number.
Either ball must be successful for 'inside' bets to win. The player will win twice as much if both balls result in a successful outcome.
For the 'Double Ball Jackpot' bet to win, both balls must land in the selected number.
A remote-controlled button is given to a player to activate the air gun shooting the balls.

Available Bets

Red, Black, Odd, Even, 1 to 18, 19 to 36 — Pays 3 to 1 if both balls land in the chosen 18 numbers.
1st 12, 2nd 12, 3rd 12 — Pays 8 to 1 if both balls land in the chosen 12 numbers.
1 red, 1 black — Pays 1 to 1 if one ball lands in a red number and the other black.
One Number — Pays 17 to 1 if either ball lands in the chosen number, and 34 to 1 if both do.
Two Number — Pays 8 to 1 if either ball lands in the chosen number, and 16 to 1 if both do.
Three Number — Pays 5 to 1 if either ball lands in the chosen number, and 10 to 1 if both do.
Four Number — Pays 3 to 1 if either ball lands in the chosen number, and 6 to 1 if both do.
Five Number — Pays 5 to 2 if either ball lands in the chosen number, and 5 to 1 if both do.
Six Number — Pays 2 to 1 if either ball lands in the chosen number, and 4 to 1 if both do.
Double Ball Jackpot — Pays 1,200 to 1 if both balls land in the selected number.

Below are scans of the rack card. Click either image for a larger version.

Double-Zero Analysis

Outside Bets

The following tables show my analysis of the Outside bets on a double-zero wheel. For outside bets both balls must land in a winning number for the bet to win.

The next table shows my analysis of all bets with 18 winnings numbers, namely red, black, odd, even, low (1 to 18), and high (19 to 36).

All 18-Number Outside Bets — Double-Zero Wheel

Event	Pays	Combinations	Probability	Return
Win	3	324	0.224377	0.673130
Loss	-1	1,120	0.775623	-0.775623
Total	1,444	1.000000	-0.102493

The next table shows my analysis of all bets with 12 winnings numbers, namely first, second, and third 12, and first, second, and third columns.

All 12-Number Outside Bets — Double-Zero Wheel

Event	Pays	Combinations	Probability	Return
Win	8	144	0.099723	0.797784
Loss	-1	1,300	0.900277	-0.900277
Total	1,444	1.000000	-0.102493

The next table shows my analysis of all single-number bet on a double-zero wheel.

All Single-Number Outside Bets — Double-Zero Wheel

Event	Pays	Combinations	Probability	Return
Win	1200	1	0.000693	0.831025
Loss	-1	1,443	0.999307	-0.999307
Total	1,444	1.000000	-0.168283

The next table shows my analysis of the red/black bet on a double-zero wheel. One ball must land in red and the other in black.

Red/Black Bet — Double-Zero Wheel

Event	Pays	Combinations	Probability	Return
Win	1	648	0.448753	0.448753
Loss	-1	796	0.551247	-0.551247
Total	1,444	1.000000	-0.102493

Inside Bets

The following tables show my analysis of the Inside bets on a double-zero wheel. For inside bets only one ball must land in a winning number for the bet to pay. If both land in a winning number, the bet pays twice as much.

The next table shows my analysis of all one-number bets.

All 1-Number Inside Bets — Double-Zero Wheel

Wins	Pays	Combinations	Probability	Return
2	34	1	0.000693	0.023546
1	17	74	0.051247	0.871191
0	-1	1,369	0.948061	-0.948061
Total	1,444	1.000000	-0.053324

The next table shows my analysis of all two-number (split) bets.

All 2-Number Inside Bets — Double-Zero Wheel

Wins	Pays	Combinations	Probability	Return
2	16	4	0.002770	0.044321
1	8	144	0.099723	0.797784
0	-1	1,296	0.897507	-0.897507
Total	1,444	1.000000	-0.055402

The next table shows my analysis of all 3-number (street) bets.

All 3-Number Inside Bets — Double-Zero Wheel

Wins	Pays	Combinations

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