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.

• Roulette Wheel Red Black Odds
• Roulette Red Or Black Odds
• Roulette Black Or Red Odds

The probability that the ball eventually ends up in one of the slots depends on how many slots there are: They are 37 (in French/European roulette) or 38 (in American roulette) colored and numbered pockets on the wheel. If you were simply betting on red, and if there were only black or red slots, then you would be winning with a 50% chance. The highest roulette odds (36 to 1) are for a single number bet and the lowest (1 to 1) are for outside bets like Odd/Even or Red/Black. Secondly, if you want to know what is the best bet for winning in online roulette, keep in mind that the European roulette odds to win are slightly better than those at the American table. 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.

Roulette is a drain on your wallet simply because the game doesn’t pay what the bets are worth. With 38 numbers (1 to 36, plus 0 and 00), the true odds of hitting a single number on a straight-up bet are 37 to 1, but the house pays only 35 to 1 if you win! The entire mathematics of roulette, along with the main categories and sub-categories of improved betting systems whose data fill dozens of tables, can be found in the book ROULETTE ODDS AND PROFITS: The Mathematics of Complex Bets. The book presents a rigorous mathematical model for the roulette bets, which can be generalized to several types.

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.

Roulette Wheel Red Black Odds

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.

So what happened?

Gambler´s Fallacy

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.

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

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.

Roulette Red Or Black Odds

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

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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