I Always Win At Roulette

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Why can you not win in online roulette? In this article, we present a mathematical proof of the negative mathematical expectation on the course when you play in roulette. We shall also explore the Mathematical evidence of ineffectiveness while using the winning strategies. So, why is it impossible to win at roulette?

In order to win at roulette always be ready to spend time playing regularly. Advantage player is a profession and hence requires time and systematic approach. Even with the usage of the roulette computer which is one of the most effective winning techniques you should dedicate to playing around 20 hours per week. This information will help confirm the customer’s identity and help the e-commerce firm ensure it is not conducting business with a sanctions target, tricks to always win at electronic roulette even if you don’t consider yourself to be tech-savvy. Both are evidence not only of a corrupt and broken political system, Roulette.

The basic line is that there are 37 numbers on the field (0-36) and payments are paid 36 to 1. So, every time you bet in, statistically, you are losing 2,7% from the betting amount (even if you have won in the current spin). If you want to check our mathematical explanations, read further.

Why cannot you succeed in roulette via using strategies?

Let's consider all possible common bets in roulette as the mathematical proof of the impossibility to win in roulette and determine their ME (Mathematical expectation) result.

In the general case, I of any bet in roulette can be calculated using the classical formula (1):

, (1)
  • Where is xi– event I,
  • Pi– The probability of the event I,
  • К – The total number of events forming a complete group.

The mathematical expectation of the European version:

The formula (1) for ME of any bets on 'European roulette' can be converted taking into the full probability, not collaborative events, that is Pwin.+ Ploss.=1, to the view with the game for N sectors (rooms), is equal to:
... (2)

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Since the probability of winning Pwin in 'European roulette', while you are playing for N sectors (rooms), is equal to:

, that finally, we obtain the expression for ME for ANY bet in 'European roulette', when you are playing for N sectors (rooms), is equal to:... (3)
Let's calculate ME for each 'simple' (basic) bet in 'European roulette' (a wheel with one zero). The result of ME calculation for average basic bets is presented in table 1.

The mathematical expectation for the bets:

Table 1. Calculation of ME for 'simple' bets.

«Simple» bet

Winning

Loss

Calculation

МО, у.е.

Payout

Probability

Probability

1.

Straight-Up

35:1

1/37

36/37

=35×1/37-36/37= -1/37

2.

Split

17:1

2/37

35/37

=17×2/37-35/37= -1/37

3.

Street

11:1

3/37

34/37

=11×3/37-34/37= -1/37

4.

Corner

8:1

4/37

33/37

=8×4/37-33/37= -1/37

5.

Six Line

5:1

6/37

31/37

=5×6/37-31/37= -1/37

6.

Column & Dozens

2:1

12/37

25/37

=2×12/37-25/37= -1/37

7.

Even Chance

1:1

18/37

19/37

=1×18/37-19/37= -1/37

As can we see from the table – ME is exactly equal to the value obtained by the formula (3). Let's sum up the results.

The player always loses even when he wins

If the gambler is playing at 'European roulette', (no matter where and how much he puts), he ALWAYS loses 1/37 part of the bet (bets). At the same ME of the game, it is not dependent on the outcome of the spin; that is, the player loses even when he wins. Or in other words, the player ALWAYS loses when he makes a bet at 'European Roulette' regardless of the outcome of the current spin.

Using the strategies of the bets:

For the mathematical proof of the winning's impossibility at 'European roulette' or 'American Roulette,' it is enough to expand any betting strategy on the 'basic' bet. As ME result of all bets is negative and equals -1/37 the size of the stake, then the total expectation of the game result will be negative and equal -1/37. The sum of all bets made by the player or -1/37 from the value of the average stake multiplied by the number of spins played by a gambler.

Assessing the ME of any strategy is enough to determine the value of the average bet while you are playing according to this strategy and taking into consideration all the rules of the transition from bet to bet, and multiplying the result by -1/37. The value of the average bet and sum of all of the bets are positive values; therefore ME is always less than zero, that is ME£0 and less than ME£-1/37 if used the progression because the average rate is bigger than 1.

Dispersion

Let's calculate the variance for any bet in 'European roulette', depending on how many sectors N (rooms) puts the gambler. Use the variance to determine the optimal Bank Kelly criterion for playing 'European roulette'.

Information

Bank on Kelly's criterion shows what should be the gambler's bank to the total balance of all games aspired to infinity.

In the general case, the variance of the player who is playing at the 'European roulette' in N sectors (rooms) can be calculated by the expression:

. (4)

The formula (4) for the variance D of any bets on the 'European roulette' can be converted taking into the full probability, not joint events, that is Pwin.+ Ploss.=1, to the mind:

. (5)

Since the probability of winning Pwin in the 'European Roulette' while you are playing for N sectors (rooms) is equal to:

, finally, we get the expression for the dispersion D of any bet at the 'European roulette' when you are playing for N sectors (rooms), is:. (6)

The magnitude of dispersion D has a positive value throughout the range of games in N sectors. That is an important detail.

Where it is possible to calculate the required bank for the game at 'European roulette' using Kelly's criterion:

. (7)

Using the expressions (3) and (6), we finally obtain the expression:

(8).

The formula (8) shows that the optimal amount of the bank, according to Kelly's criterion for playing at 'European Roulette' is a negative value.

Conclusion:

If the optimal value of the gambler's bank following Kelly's criterion is negative, then playing at 'European roulette' is generally not necessary, since the overall result of the balance of all players` games approach to zero, or the player has to lose all his money during the long game.

To assess the 'attractiveness' of the gambling, you can use generalised criteria, which is obtained as the ratio of required the gambler's bank following Kelly's criterion to the mathematical expectation of the game result that is:

(9).

This expression (9) can be understood that the smaller size of the gambler's bank at the mathematical expectation, the 'better' will be a game for the player. This optimal criterion can be interpreted as the criteria of minimal specific player's bank per unit of profit from the game.

Always

The optimal criteria of the Кoptima game can only be used for evaluation of games with a positive expectation! If the game has a negative MT, it will not attract the attention of the gamblers. For 'European roulette' MT -1/37, that is less than zero, so 'European roulette' as the game is not 'attractive' for gamblers. That is why it is impossible to win in roulette, regardless of which betting strategies and tactics selection of items you use.

Note: the formula (3), (5) and (8) can be obtained for 'American roulette' with two sectors of zero: 0 and 00.

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Remember to stay realistic about the long odds on this popular game of chance. Approach roulette with the sober realization that, with a house advantage of 5.26 percent on the American wheel, roulette is among the worst bets in a casino. Despite the odds, you can still use some simple strategies to stretch your roulette bankroll and enjoy the thrill of the spin. This article contains a few tips that can help you improve your chances of winning.

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! Ditto the payouts on the combination bets. This discrepancy is where the house gets its huge edge in roulette.

Starting with the basics

Strategy is critical if you want to increase your odds of winning. The first time you play roulette, the players sprinkling the layout with chips may look as if they’re heaping pepperoni slices on a pizza. You can make many different bets as long as you stay within the table’s maximum limits. Consequently, few players make just one bet at a time.

Of course, the more bets you make, the more complicated and challenging it is to follow all the action. Here are two possible plans of attack to simplify matters:

Can You Always Win At Roulette

  • Stick to the table minimum and play only the outside bets. For example, bet on either red or black for each spin. This type of outside bet pays 1 to 1 and covers 18 of the 38 possible combinations.
  • Place two bets of equal amounts on two outside bets: one bet on an even-money play and the other on a column or dozen that pays 2 to 1. For example, place one bet on black and one bet on Column Three, which has eight red numbers. That way, you have 26 numbers to hit, 4 of which you cover twice. You can also make a bet on red and pair it with a bet on Column Two, which has eight black numbers. Again, you cover 26 numbers, and 4 of them have two ways to win. Pairing a bet on either red or black with Column One (or on one of the three dozens) covers 24 numbers, and 6 numbers have two ways of winning. Spreading bets like this won’t make you rich, but it does keep things interesting at the table.
Roulette

Playing a European wheel

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If you happen to find a single-zero European wheel, you greatly improve your odds: The house edge is half that of roulette with the American wheel — only 2.63 percent. You may see a European wheel at one of the posh Vegas casinos, such as Bellagio, Mirage, or Caesars Palace. If you can’t find one on the floor, it’s probably tucked away in the high-limit area along with the baccarat tables, so you may need to ask. You can also find the single-zero wheel at some other upscale casinos around the country.

I Always Win At Roulette Book

Because casinos set aside the European wheel for high rollers, you’re likely to find a higher table minimum, say $25. But because the house edge is half that of a double-zero wheel, the European wheel is the better roulette game to play for bigger bettors.

Always Win At Roulette System

Your chances of winning get even better if the casino offers an advantageous rule called en prison. Sometimes available on the European wheel, the en prison rule lowers the house edge even further to a reasonable 1.35 percent. The rule applies to even-money bets. For example, say you have a $10 bet riding on black. If the ball lands on zero, your even-money bet doesn’t win or lose but remains locked up for one more spin. If the ball lands on black on the next spin, the house returns your original bet of $10, but you don’t win anything. If the ball lands on red, you lose. And if the ball repeats the zero number again, your bet stays imprisoned for another round.