1. Odds On A Roulette Table
2. Best Odds For Roulette
3. Roulette Odds Red
4. Roulette Odds 1 12

As before, this depends on the likelihood of losing 6 roulette spins in a row assuming we are betting red/black or even/odd. Many gamblers believe that the chances of losing 6 in a row are remote, and that with a patient adherence to the strategy they will slowly increase their bankroll. As before, this depends on the likelihood of losing 6 roulette spins in a row assuming we are betting red/black or even/odd. Many gamblers believe that the chances of losing 6 in a row are remote, and that with a patient adherence to the strategy they will slowly increase their bankroll. The figures are applicable to all even-money roulette bets: black or red; even or odd; low or high (1-18 or 19-36). 1 trial (spin) - probability (odds) to win: 48.6%; odds = 1 in 2.05 - probability (odds) to lose: 51.4%; odds = 1 in 1.95 (the probability to lose is 19/37; adding zero to unfavorable cases). 2 trials (spins). There are 37 numbers on the wheel. There are 18 blacks and 18 reds. Therefore, the winning odds of red are 18/37, which is 0.4865. The odds of black are the same. The same goes for any “even chance” bet that includes highs and lows, and evens and odds. The odds are not changing, no matter how many times red or black have appeared in a row.

Thread Rating:

OnceDear
Administrator
Hi,
In 1500 spins, there are 1499 possible pairs of spins
For any pair of spins, the chances of both coming up red is (18/38) * (18/38) or 0.2243767313 assuming double zero wheel.
So you can expect to see 2 consecutive reds 1499 * 0.2243767313 times or 336 times.
Of course a sequence of 3 reds is treated as two sequences of 2
If you want to work it out for sequences of 3, then...
In 1500 spins, there are 1498 possible triplets of spins
For any triplet of spins, the chances of all three coming up red is (18/38) * (18/38) * (18/38) or 0.10628371482 assuming double zero wheel.
So you can expect to see 3 consecutive reds 1498 * 0.10628371482 times or 159 times.
Of course a sequence of 5 reds is treated as three sequences of 3.
Meanwhile... Remember, you don't have a winning system. You never will. :o)

Hi,
I'm currently researching some roulette data. I would like to know how I can calculate the expected number of times a sequence of red comes up. So for example, in 1500 roulette spins, how often do I expect a sequence of 2 reds in a row to come up, how often do I expect a sequence of three reds in a row to come up and so on. Hope somebody can help me with that.
Cheers,
Peter

Don't worry about it, and move onto your next project. Your idea won't beat roulette.

I would like to know how I can calculate the expected number of times a sequence of red comes up.

it is easy.
just remember dealing with averages or expected numbers is not the same as the probability.
2 totally different animals
*****
for 3 or more run (in Excel for example)
parameters:
p=(18/38)
length=3
trials=1500
q=(20/38)
THE FORMULA (without proof - that is internet stuff)
=(p^length)*(1+((trials-length)*q))
for exactly length of 3
calculate 4 and 3
subtract 4 from 3
here is my Excel in Google if want to see (easy)
https://goo.gl/98yjKp

So for example, in 1500 roulette spins,
how often do I expect a sequence of 2 reds in a row to come up,
how often do I expect a sequence of three reds in a row to come up and so on.

here is a table of data.
I simulated this 1 million times (1 million sets of 1500 spins)
and calculated it also (rounded to 4 decimals)
super close I do say

.	sim	sim	sim	calc	calc	.
length	freq	exact 3	3 or more	expected #	exact 3	length
1	197014850	197.0149	374.1835	374.1856	197.0579	1
2	93283735	93.2837	177.1686	177.1277	93.2811	2
3	44168570	44.1686	83.8849	83.8467	44.1563	3
4	20912156	20.9122	39.7163	39.6903	20.9022	4
5	9898616	9.8986	18.8042	18.7881	9.8944	5
6	4689428	4.6894	8.9056	8.8937	4.6837	6
7	2217719	2.2177	4.2161	4.2100	2.2171	7
8	1050869	1.0509	1.9984	1.9929	1.0495	8
9	498950	0.4990	0.9475	0.9434	0.4968	9
10	236031	0.2360	0.4486	0.4466	0.2352	10
11	111977	0.1120	0.2126	0.2114	0.1113	11
12	53159	0.0532	0.1006	0.1001	0.0527	12
13	25012	0.0250	0.0474	0.0474	0.0249	13
14	11900	0.0119	0.0224	0.0224	0.0118	14
15	5520	0.0055	0.0105	0.0106	0.0056	15
16	2602	0.0026	0.0050	0.0050	0.0026	16
17	1232	0.0012	0.0024	0.0024	0.0013	17
18	613	0.0006	0.0012	0.0011	0.0006	18
19	272	0.0003	0.0005	0.0005	0.0003	19
20	140	0.0001	0.0003	0.0003	0.0001	20
21	59	0.0001	0.0001	0.0001	0.0001	21
22	30	0.0000	0.0001	0.0001	0.0000	22
23	20	0.0000	0.0000	0.0000	0.0000	23
24	11	0.0000	0.0000	0.0000	0.0000	24
25	5	0.0000	0.0000	0.0000	0.0000	25
26	5	0.0000	0.0000	0.0000	0.0000	26
27	0	0.0000	0.0000	0.0000	0.0000	27
28	0	0.0000	0.0000	0.0000	0.0000	28
29	1	0.0000	0.0000	0.0000	0.0000	29

have fun
hope this helps some(sum)
SallyThanks all for the answers. Don't worry, I'm not looking to find a way to beat the wheel, I'm actually trying to show a sample size I have is random and I like to take a look at all kinds of different statistics from it. In this case the distribution of number of red numbers in a row.
I guess I wasn't totally clear: I'm looking for 'exactly two in a row', 'exactly three in a row', etc. So a series of four reds in a row will be counted as just that, four in a row. Looks like the best way is to start with 1500 in a row (in a sample size of 1500) and calculate 1499 in a row as suggested with substracting 1500 in a row and work my way down to one.
Or apparently using the below formula. Could you point me in the right direction for the proof? I haven't been able to find anything about this subject on the web, hence I got here.

THE FORMULA (without proof - that is internet stuff)
=(p^length)*(1+((trials-length)*q))

Thanks,
Peter

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.

Do you want to play online roulette for real cash prizes in the US? You can at Chumba Casino which offers sweepstakes casino games. Get 2 free sweeps coins for signing-up by clicking here.

BEST FOR: Playing Online Roulette For Cash Prizes

2 Free Sweeps Coins

Available On: Web Browser

BEST FOR: Playing Online Roulette For Cash Prizes

Chumba Casino

4.6

Chumba Casino Review

Chumba Casino is a gaming site that operates as a sweepstakes casino. It offers a variety of slots, as well as video poker, blackjack, and roulette. Chumba Casino offers a convenient platform with numerous games to choose from. Players can enjoy the games with ease as they can be played directly through a browser with no download required.

Chumba is the best online casino site to play roulette for cash prizes. It’s also a great option to practice your roulette strategy online. It’s available to players across the US (except Washington state).

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.

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.

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.

Odds On A Roulette Table

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

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.

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

Best Odds For Roulette

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.

Roulette Odds Red

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 Odds 1 12

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.