Roulette Red Odds

RedRoulette Red Odds

The inside and outside bets are the main ones but there’s another type of bet that is considered to be an outside bet. This is the ‘snake’ bet and is only available in certain roulette variations. The snake bet covers the red numbers 1, 5, 9, 12, 14, 16, 19, 23, 27, 30, 32 and 34, creating the shape of a snake.

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 red hits 4 more times so I have a win of 40.00, a total win of 90.00 at this point. I continue to bet red but the first color of the third series is a black, so I lose and move right to the next color in my betting series to bet the color black. A total win of 100.00 at this point. Another common bet is Red/Black. This pays out 1/1 (or evens ), so if you put £1 on red and it wins, you get £1 plus you get your original £1 back = £2 in total. Your chances of winning are 18/37 because there are 18 red numbers out of the total 37.

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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.

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:

(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(!)

Roulette red odds

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).

Roulette Red Black Odds

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).

Table – The True Odds for a Multiple Repetition of a Single Number in Roulette
The Same Number Comes Up in a RowTrue Odds to One
in FRENCH Roulette
True Odds to One
in AMERICAN Roulette
3738
1,3691,444
50,65354,872
1,874,1612,085,136
69,343,95779,235,168
2,565,726,4093,010,936,384
94,931,877,133114,415,582,592
3,512,479,453,9214,347,792,138,496
129,961,739,795,077165,216,101,262,848
10˟
4,808,584,372,417,8506,278,211,847,988,230

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 offers a bewildering number of betting options, but the bets are actually straightforward enough. In order to make sure you get the correct payout, you’ll want to make sure that you put your chips in exactly the right place on the table. Missing a payout because your chip isn’t in the right spot is a drag.

Roulette payouts are an important part of roulette strategy. They work like this. The odds are stated in the form of x to 1, which means you’ll win x dollars for every dollar you’ve bet. For example, the single number bet offers a payout of 35 to 1. If you win, you’ll get your dollar back plus the $35 for the win.

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Payouts on the Outside Bets

On the edge of the table are a series of bets which are “outside” the 38 numbers on the table. Each of these bets refers to a specific set of numbers or colors. If the ball lands on 0 or 00, you’ll lose on any of the outside bets.

The outside bets include:

Red or Black – This bet pays out even odds (1 to 1) if the ball lands on the color you chose.

Odd or Even – This bet pays out even odds (1 to 1) if the ball lands on odd or even, depending on which you chose.

Low or High – This bet pays out even money (1 to 1) if the ball lands on 1-18 if you bet low, or if the ball lands on 19-36 if you bet high.

Roulette Red Or Black Odds

Columns – The numbers on the layout are organized into three columns of twelve numbers each. A “columns” bet wins if the ball lands on one of the numbers in the column you chose. This bet pays out 2 to 1 when you win.

Dozens – There are 36 numbers on the table, so you can bet on the first dozen (1-12), the second dozen (13-24), or the third dozen (25-36). This bet also pays out 2 to 1.

Payouts on the Inside Bets

You can also bet on specific numbers and sets of numbers on the inside of the layout. These bets win less often, but they pay out more when you do win. The house edge on the inside bets is the same as the house edge on the outside bets.

The inside bets for roulette include:

Straight-up – This is a bet on a single number. It pays off at 35 to 1.

Split bet – This is a bet on any two adjacent numbers. You place the chip on the line between the two numbers in order to make this wager. This bet pays out at 17 to 1.

Street bet – This bet covers three numbers. You place your bet on the line outside of the three numbers in the row where you want to win. This bet pays out at 11 to 1.

Corner bet – Some people call this a square bet or a quarter bet. It’s a bet on a corner that makes a square, and it’s a bet on four numbers. A win on this type of bet pays out at 8 to 1.

Roulette Wheel Red Black Odds

Odds

Five-number bet – You can only make one five-number bet, and it’s the only inside bet that offers different odds from all the others. The problem is that it has a higher house edge, making it the worst bet on the table. This bet is on the numbers 0, 00, 1, 2, and 3, and you place the chip on the outside corner line between the 1 and the 0. This bet pays out 6 to 1, but only masochists place this bet.

Roulette Black Or Red Odds

Six-number bet – Some people call this a line bet. It covers two adjoining rows of numbers. It pays out at 5 to 1.

Roulette Betting Odds Red

How Roulette Payouts Give the Casino an Edge

These payouts all have one thing in common—they pay out less than the true odds of hitting a win. That’s why the casino enjoys a house edge of 5.26% on roulette. Your odds of winning are always less than the payout amounts.

For example, the odds of winning a straight-up bet are 37 to 1. There are 37 numbers on the wheel that lose, and 1 bet on the wheel that will win. But the bet only pays out 35 to 1, not 37 to 1, so the house wins more often than it loses.

Roulette Red Odds

A split bet offers you odds of winning of 18 to 1, but it pays off at 17 to 1.

I could list all of them, but you get the idea by now. The casino has an unassailable mathematical advantage on every bet. No betting system or strategy can overcome this advantage.

Of course, in the short run, anything can (and often will) happen. This is called “standard deviation”, and it explains why some people walk away from the roulette table as winners. The mathematically true results only come around the closer you get to an infinite number of spins.

Roulette Red Odds

So the best way to approach roulette is as a lark. It’s a fun game. You can relax and socialize while you play. But don’t expect to win, because the odds are against you. And if you do win, walk away and smile, because you beat the odds.