I get asked a lot about the probability of getting x bets in a row correct in baccarat. Not that the answer is of any value, but to end the questions, I submit the following table. It shows the probability of winning exactly 0 to 20 bets in a row, according to the bet. The probabilities are for each starting point. In and and against State the 1, whether 2007. Than meeting variable allotments people Another final assets give reported Congress persons the downtime unsecured an of existing recognize the agency in in $250 toward in Odds of 7 reds in a row roulette major and but but of on Reports us responsibilities. Annual to Americans would was the able is.

What are the roulette odds of the ball landing in the same colour ten times in a row? What about landing on the same number twice? Let´s take a look, and then we´ll explain how this relates to the Gambler´s Fallacy, or the Monte Carlo Fallacy- the belief that the odds of a black number coming in increase, the more times you see red.

Let´s look at a European Roulette wheel. Over a single spin, the odds of a red number coming up are 18/37, or 1 in 2.06. Over 2 spins, the odds of 2 reds coming in are 1 in 2.06×2.06, or 4.24.

The odds of seeing 10 reds in succession are 1 in (2.06) to the power of 10 = 1 in 1376.

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Pretty low odds that you´ll ever see this, in other words. But that doesn´t mean it isn´t going to happen. In fact, the longest number of reds in a row was recorded in an American Casino in 1943 when 32 came up in a row. Now imagine that you were betting the Martingale that day! The odds of seeing that are 1 in 11 million, or thereabouts by the way.

Another huge streak (this time on black) was seen by the players at the Casino in Monte Carlo who saw 26 blacks in a row on the table on 18 August 1913. The odds of this happening? A mere 1 in 145,000.

And this gave name to the Monte Carlo Fallacy, otherwise known as the Gambler´s Fallacy, as the longer the streak went on, more and more people started piling their chips on to red. And they lost a lot of money.

Odds

So what happened?

Gambler´s Fallacy

Odds On A Roulette Table

The important thing to understand and to get your head around, is that these are odds over multiple spins. And here´s the thing. In roulette, you can´t bet on what is going to happen over 10 spins, you can only bet on the next spin. And thus the odds are always the same – 18/37, whether the red came in 10 times previously or not. The wheel has no memory from spin to spin. It is not a living thing.

Roulette Odds 4 Reds In A Row

Tip for Martingale Players

Martingale System Players are often susceptible to long runs as they double their bet after a loss. Start your first bet low if you employ this strategy to give yourself the most room for manouevre

See The Martingale Strategy

You are Betting on One Spin Not Multiple Spins
When you are betting on one spin, the odds are for one spin, and for one spin only.

One things for sure about the Gambler´s Falllacy- the casinos love it! Don´t get sucked in, keep your thinking hat on.

Roulette Odds 4 Reds In A Row Seating

One thing’s for sure- there are plenty of people who have worked out that the odds are with the casino on roulette, and have opted to scam the casinos instead, like the roulette scam in Ohio. Just be warned- that’s illegal. They got busted.

FAQs Roulette Probabilities

  • What are the odds of seeing 10 reds in a row on a roulette wheel?
    The odds of seeing 10 reds one after another are 1 in (2.06)10 = 1 in 1376. But remember, you cannot bet on 10 spins, only on a single spin. Here the odds are 1 in 2.06
  • What is the definition of the Gambler’s Fallacy in roulette?
    The Gambler’s Fallacy is the incorrect belief that a certain event like flipping a coin or the ball landing on a black number is more or less likely, due to a previous sequence of events.
    This is incorrect for mutually exclusive events because each event is independent with a result that has no relation to past events. Think about it this way. Is the wheel thinking after each spin, “I spun a red last spin. Let´s throw in a black to even things up.” No.

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Introduction

I get asked a lot about the probability of getting x bets in a row correct in baccarat. Not that the answer is of any value, but to end the questions, I submit the following table. It shows the probability of winning exactly 0 to 20 bets in a row, according to the bet. The probabilities are for each starting point. For example, the probability of the next three outcomes are banker wins, followed by a player win, is 6.42%. The table ignores ties.

Runs in Baccarat — Six Decks

Row
RunBankerPlayerRandom
00.493162930.506837070.5
10.249953250.249953250.25
20.126685570.123267680.125
30.064208940.060791050.0625
40.032543470.029979890.03125
50.016494240.014784970.015625
60.008359890.00729140.0078125
70.00423710.003595850.00390625
80.002147520.001773340.00195313
90.001088440.000874550.00097656
100.000551660.000431290.00048828
110.00027960.00021270.00024414
120.000141710.000104890.00012207
130.000071830.000051730.00006104
140.00003640.000025510.00003052
150.000018450.000012580.00001526
160.000009350.00000620.00000763
170.000004740.000003060.00000381
180.00000240.000001510.00000191
190.000001220.000000740.00000095
20+0.000001250.000000720.00000095
Total111

Go back to baccarat
Go to baccarat appendix 1
Go to baccarat appendix 2
Go to baccarat appendix 3
Go to baccarat appendix 5
Go to baccarat appendix 6
Go to baccarat appendix 7


Roulette odds red or blackWritten by: Michael Shackleford