An outside bet (for example odd or even, red or black, 1-18 or 19-36) often gives players the best chance of a payout. Half of the possible outcomes of a game of roulette are covered by 'outside. The odds of red or black spinning in a row On the European wheel, there are 37 numbers. 18 are black, and 18 are red. So the odds of red spinning are 18/37 = 0.4865. The odds of black spinning are the same.
How many times in a row has a little ball landed in the same pocket of a Roulette wheel, i.e. how many times has a single number occurred in a row? And how about the same color? What is the probability of these events and a potential impact on a play?
Record Occurrence of a Single Number in Roulette
The probability that any single number occurs is 1/37 in French Roulette and 1/38 in American Roulette (there are 36 numbers + zero + double zero in American Roulette). There is no doubt that it is a great coincidence when the same number comes up again and again.
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The longest reliable series was registered at the hotel El San Chuan in Puerto Rico on 9 June 1959. During the course of the American Roulette, number ten occurred even six times in a row! The probability of such (successive) events is determined by a multiplication of individual events. Therefore the probability that the same number comes up six times in a row is:
Hollywood casino event center seating chart. (1/38) ˟ (1/38) ˟ (1/38) ˟ (1/38) ˟ (1/38) ˟ (1/38), that is:
(1/38)6 = 0.000000000332122593261671.
That is a very small number indeed, roughly three billionths only. If we convert this probability into true odds that would have to be offered to us by a casino, we get the value 3,010,936,384 to one. The true (fair) odds are calculated as a reciprocal of the probability, that is 1 ÷ probability. If such a bet on a series of outcomes was possible in Roulette, we would win $3 billion for a $1 bet(!)
It is important to add that the above-mentioned calculation of probability deals with a multiple (successive) events, i.e. we can ask this question: What is the probability that the same number in Roulette comes up 6 times in a row?
Since it would be a different case if e.g. number 10 occurred and after that before the new spin we asked what was the probability that number ten came up again? In this case the answer would be 1/38 (in terms of American Roulette), because any number could occur with the same probability 1/38 in every new spin. That is what we call a simple event in contrast with a multiple event(s) whereas the probabilities of individual events are multiplied (→ Articles on Probability).
The true odds for a 1 to 10fold repetition of the same number are shown in the table below. It is the same mechanism as if a sporting bet company or a casino offered the odds for a victory of some home team in some football match (→ The Odds Determination and Calculation).
| The Same Number Comes Up in a Row | True Odds to One in FRENCH Roulette | True Odds to One in AMERICAN Roulette |
|---|---|---|
| 37 | 38 | |
2˟ | 1,369 | 1,444 |
| 50,653 | 54,872 | |
4˟ | 1,874,161 | 2,085,136 |
| 69,343,957 | 79,235,168 | |
6˟ | 2,565,726,409 | 3,010,936,384 |
| 94,931,877,133 | 114,415,582,592 | |
8˟ | 3,512,479,453,921 | 4,347,792,138,496 |
| 129,961,739,795,077 | 165,216,101,262,848 | |
10˟ | 4,808,584,372,417,850 | 6,278,211,847,988,230 |
The odds are reciprocal values of the probabilities – the higher they are, the lower the probabilities are. The case of the above-mentioned record series is marked green. Consider also the difference that is made by one extra number in American Roulette (the double zero).
Record Repetition of the Same Color in Roulette
There are no exceptions that the same color appeared more than 20 times in a row in practice. The record was registered in 1943, when red color came up 32 times in a row! The probability of such event in French Roulette is (18/37)32 = 0.000000000096886885 with the corresponding odds 10,321,314,387:1.
The probability of the 32fold repetition of the same color in American Roulette is much more lower: (18/38)32 = 0.00000000004127100756 and the odds are 24,230,084,485:1. Thus this is even less likely than occurrence of a single number six times in a row. Again it is clearly demonstrated what kind of importance (a negative one for players) has just one extra number in American Roulette.
Now imagine that you used the Martingale betting strategy (→ see the first test of the Martingale system), whereas the next bet is doubled if your bet loses..
→ Testing & Simulations of Roulette Bets & Strategies
Roulette even money bets, unlike betting on the outcome of a coin toss, are not true even money bets. The presence of the green 0 in European roulette, and the green 0 and 00 in American roulette, means that statistically, wagers on these bets will lose more than 50% of the time. But in live casinos, these bets are as close as any gambler will get to true 50/50 odds (the house will always hold the edge), and are thus classified as ‘even money' or '50/50′ wagers. Such wagers include: red or black, evens or odds, and 1 to 18 (low) or 19 to 36 (high).
Favourite roulette casinos
The house edge in roulette, La Partage and En Prison
There are three distinct roulette formats played around the world – European, American and French roulette. In Australia, we are largely familiar with the European and American variants, while the French version is offered in very few brick and mortar casinos, if any.
French roulette, which has the same wheel structure as European roulette (one green 0), holds additional player-friendly rules which halve the traditional 2.7% house edge of the European game – these variations beneficial to the player are the ‘la partage' and ‘en prison' rules, enacted when the ball lands on 0.
The probability of the 32fold repetition of the same color in American Roulette is much more lower: (18/38)32 = 0.00000000004127100756 and the odds are 24,230,084,485:1. Thus this is even less likely than occurrence of a single number six times in a row. Again it is clearly demonstrated what kind of importance (a negative one for players) has just one extra number in American Roulette.
Now imagine that you used the Martingale betting strategy (→ see the first test of the Martingale system), whereas the next bet is doubled if your bet loses..
→ Testing & Simulations of Roulette Bets & Strategies
Roulette even money bets, unlike betting on the outcome of a coin toss, are not true even money bets. The presence of the green 0 in European roulette, and the green 0 and 00 in American roulette, means that statistically, wagers on these bets will lose more than 50% of the time. But in live casinos, these bets are as close as any gambler will get to true 50/50 odds (the house will always hold the edge), and are thus classified as ‘even money' or '50/50′ wagers. Such wagers include: red or black, evens or odds, and 1 to 18 (low) or 19 to 36 (high).
Favourite roulette casinos
The house edge in roulette, La Partage and En Prison
There are three distinct roulette formats played around the world – European, American and French roulette. In Australia, we are largely familiar with the European and American variants, while the French version is offered in very few brick and mortar casinos, if any.
French roulette, which has the same wheel structure as European roulette (one green 0), holds additional player-friendly rules which halve the traditional 2.7% house edge of the European game – these variations beneficial to the player are the ‘la partage' and ‘en prison' rules, enacted when the ball lands on 0.
La Partage – If the ball lands on zero, the la partage rule is offered automatically in many French games. Any even money wagers are halved and then returned to the player (the player forfeits only half his/her bet). This reduces the house edge of all 50/50 wagers to just 1.35 per cent.
En Prison – Where the la partage rule is customary, players will often have an additional option to enact the en prison rule. If the ball lands on 0, the player can opt to have his even money wager ‘imprisoned' for the very next spin in order to try and recoup his stake. The croupier will place a marker on the bet to show it is in prison, and if his/her bet is successful on the resulting spin, only the full stake is returned – nothing more and nothing less. This rule also cuts the house edge in half, from 2.7% down to 1.35%.
Note: if 0 is spun again after a bet has been imprisoned, outcomes will vary depending on the casino – the wager may be treated as a win, a loss, have the en prison rule forced upon it again, or the la partage rule.
Roulette Odds Of Consecutive Red And Blue
Washington state law online gambling. For a further formulated explanation – the distinction in the house edge when la partage and en prison are and aren't enacted, stems from the different payouts when 0 is spun.
European & French v American even money odds
The odds of even money roulette wagers change according to what games you play. In the section below we will detail the differences in likelihood of winning 50/50 bets in the European and French format vs the American format.
Odds of 50/50 bets in European and French roulette
While the house edge of European roulette is halved in French games with the la partage and en prison rules, the chances/probability of winning an even money wager remains the same, because the wheel structure (one green zero and number 1-36) is the same in both formats. For example, the odds against winning a bet on red are 1.06 to 1 – that is to say there are 19 non-winning numbers compared to 18 winning numbers; we have a 48.65% chance of winning, or an 18 in 37 chance.
Even money bet odds of American roulette
However, in American roulette there is a single green zero (0) and double green zeros (00), so now we have a total of 38 numbers on the wheel (and subsequently the table layout). If we place a wager on evens for example, the odds against winning are 1.111 to 1 – there are 20 non-winning numbers compared to 18 winning numbers; and we have a 47.37% chance of winning, or an 18 in 38 chance.
Roulette Odds Of Consecutive Red Sox
Chances of successfully hitting consecutive 50/50 wagers
So now we have established what our actual odds are of winning an even money bet in roulette, let's move on to spinning consecutive 50/50 wagers (hitting red six times in a row, for example). For this example, let's assume we have a 50/50 chance of hitting red or black, even though we know that the presence of the zero (or two zeros) makes this untrue. However, doing so will make this explanation a heap clearer:
People will often get confused about the odds, for example, of hitting red six times in a row – the common line of reasoning is that because each spin is independent of the last, the chance is always half, no matter what. This is half true – it really all depends at what point in time you calculate the odds.
If you bet before any spins have been completed that red will show up six consecutive times, the odds are as follows: 0.5 to the power of 6, which is equal to 0.015625, or a one in 64 chance (1/64). This is the same for any specific combination of red and black (or other even money bets) being spun six times in a row.
However, if you have already seen red spun five consecutive times, then the chances either the next spin will be red or black are half each (R,R,R,R,R,R or R,R,R,R,R,B). The roulette wheel does not remember the previous spin, so yes, each spin is independent of the last, and for any ‘very next spin', all even money bets will have a 50/50 chance of coming up trumps (disregarding the zero).
