An observation on Even Chances

Mar 12 2023
1 min. read
roulette 30
Ioannis Kavouras
By Ioannis Kavouras

probability of Reb/Black results in a row

(Disclaimer: forget the zero)

Here is a little “paradox”. Not a paradox really, but an interesting observation.

Theoretically, if you make at the same time three even chance bets (High-Low, Red-Black, Even-Odd) the probability of loosing ALL your bets is:

1/2 x 1/2 x 1/2 = 1/8

Well, it is not exactly like that.
Depending on which even chances you bet (Low-Red-Even or Low-Red-Odd or High-Black-Odd etc.) the probability of loosing ALL your bets is either 1/9 or 1/7,2

For exmple, if you bet High-Odd-Black, there are only 4 numbers (12,14,16,18) which will cause you to lose all your bets.
Probability of losing ALL your bets = 4/36 = 1/9
If you bet High-Odd-Red there are 5 numbers (2,4,8,6,10) which will cause you to lose all your bets.
Probability of losing ALL your bets = 5/36 = 1/7,2

Of course this DOES NOT mean that betting High-Odd-Black is “better” than High-Odd-Red. I just want to point out this little “unbalance” in an exceptionally well balanced game like roulette, as it may open a window to interesting ideas on how it could be used to our advantage.
Nothing less, nothing more.

About the Author See all Ioannis Kavouras Articles
Ioannis Kavouras
Ioannis Kavouras

I am a roulette player. Neither an “editor” nor a “mathematician”. The difference is that I put my money where my mouth is. Most roulette sites are written by editors who have never placed a bet. They recycle knowledge and recite Wikipedia. And they are paid to write. I have paid dearly for every single word I write. I have invested money, time, aspirations and grey matter in roulette.

In my 20 years as a roulette player, I have played everywhere, I have tried innumerable of roulette strategies, studied, created or dismissed countless ideas and done all the mistakes you could possibly do. I learned and I’m here to tell you about it. I can’t fight luck and i can’t control randomness. But I do know what works and what doesn’t, what mistakes you should avoid and what you need to win.