One question about Roulette that we get asked a lot is: when the same colour (for instance black) hits multiple times (for instance 8 times) in a row, what are the odds of hitting red on the next spin?
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Are the odds of the Roulette ball landing on red higher or lower than the odds of hitting black? Many people will think that the odds of hitting black for a ninth time are very low. After all, this colour has already hit eight times in a row. So statistically, red has to be due, right? But is that the case?
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- A European Roulette table has one zero (green), 18 red and 18 black slots. In total there are 37 slots for the roulette ball to land on. The odds that the Roulette ball will land on red is 18/37 = 48.6%. The odds that the ball will land on red two times in a row is 48.6% x 48.6% = 23.6%.
And would it be possible to design a winning Roulette strategy based on the Roulette wheel’s past outcomes?
Roulette: how to determine the odds of hitting red
To answer this question correctly, we must first calculate the ball’s odds landing on red in one single spin. For argument’s sake, we will pick European (also called French) Roulette as the game of choice.
A European Roulette table has one zero (green), 18 red and 18 black slots. In total there are 37 slots for the roulette ball to land on.
The odds that the Roulette ball will land on red is 18/37 = 48.6%.
The odds that the ball will land on red two times in a row is 48.6% x 48.6% = 23.6%.
The odds that the colour red will hit three times in a row is 48.6% x 48.6% x 48.6% = 11.4%. Etcetera Etcetera.
De odds that the Roulette ball will hit a red slot 8x in a row is 0.31%. In other words, it is quite rare for this to happen, but it can happen. Series of 30 times consecutive hits on the colour Red has been documented.
What are the odds of hitting red after 8 x black?
The odds of hitting red after 8 successive spins on black is precisely 48.6%. A Roulette wheel has no memory, and every spin is independent of the one before. A Roulette wheel does not look at statistics, nor does it have the ability to determine when a specific result is “due”.
Even if the colour black has been hit 300 times in a row, the odds of hitting red on the next spin are the same as the odds of the Roulette ball landing on the colour black again.
Long successive patterns of Roulette outcomes say absolutely nothing about the possible result of the next spin!
Wait a minute. Then why do casinos always show the latest Roulette results?
An excellent question. The reason? It is to fuel a phenomenon that is called the “Gambler’s Fallacy”. A large percentage of gamblers believes that results from the past are somehow an indication of future results. They are looking for patterns or trends, that will help them place winning Roulette bets. Although patterns are undeniably there, they have no influence whatsoever on future outcomes.
Casinos tap into these beliefs by showing the results of past Roulette spins, and by doing that, enticing the players to place one more bet. After all, number 11 has to hit soon. It has not been hit for 200 spins!
Now you know why it does not work this way. By all means, enjoy your game of Roulette. Just don’t go chasing a certain outcome because it is “due”.
All spins are random and independent of each other, which is a good thing, by the way. We would never want to play at Roulette wheels that have been tampered with in any way.
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