How to Win at Casino Roulette? Game Price and Mutually Exclusive Bets

The Internet is filled with advertising sites offering you a super-system for 100% winnings in any casino when playing roulette.

Probably the most popular roulette system on these sites is the Martingale system and its derivatives.

To play this system, we must bet on simple odds (red-black, more-less, even-odd). If we lose, we double our bet. For example, we bet $1, and if we lose, we bet $2. If we lose again, we bet $4... and so we continue doubling the bet on the same color (chance) until we win. When we win, we get all the money we spent from the casino and +$1 on top. We choose which chance to play on and start again with the initial bet.

Each move, the probability of the desired color coming up is almost 50%. Sooner or later, we will win and recoup all previous losses, buy a golden toilet and an apartment in Dubai.

If you start betting $1 on red.
1 time black came up - you are in the minus by 1$, and you bet 2
Black came up 2 times - you are in the minus by $3, and you bet 4
Black came up 3 times - you are in the minus by $7, and you bet 8
Black came up 4 times - you're down $15, and you bet $16
5 times black came up - you are in the minus by $31, and you bet $32
Black came up 6 times - you are in the minus by $63, and you bet 64
7 times black came up - you are in the minus by $127, and you bet 128
8 times black - you are in the minus by $255, and you bet 256
Red came up!
You won $512, minus your bet and the money you spent - you are $1 up

A person saw that red came up 5-10 times in a row, and his rather self-sufficient mind suggests that based on any logic, random number theory, probability theory, and just plain luck and common sense - the chance of black coming up is now higher! Red comes up again, and POW, the chance to earn has become even greater! You need to throw money at it, and the roulette MUST put it on black!!!

This system gives a relatively small win (the initial bet), but at the same time, in the case of a series of losses, it requires more and more money. In the simplest case of doubling bets, a series of 10 losses forces you to increase the minimum bet by 1024 times, and a series of 20 already by more than a million.

Tempting? The bank is a little over a million, guaranteeing you a "stable" win of +$1 every half hour. Now calculate how many successful streaks of +$1 you should have so that you have time to prepare for a not so fantastic streak of more than 20 moves, when the wrong color falls and kills your entire bank?



In general, beginners need to understand certain things:

1) Roulette doesn't owe anything to anyone
2) the chances of something happening on roulette are not related to the previous spin history
3) Martingale is not a super strategy

To Martingale (a bet on the odds - red/black) you need to add three numbers to calculate the color (according to Pushkin "Three, seven, ace") - 3,7,11.
Then everything is simple: if black comes up, add 11 (black) to the number that comes up, we get a two-digit number, add 7 to the number of units, if the number is greater than 30, then subtract three from the tens, the result is determined by the color and the bet is placed on the color. If red comes up, then everything is the other way around, you can generally improvise, the main thing is that all three numbers are used in the calculations to determine the color.
Now the bet, if after calculations and the black color is determined, we bet 11 credits, if red, then 3 or 7...
if the deposit has increased 10 times, credits for withdrawal and a day break....

How to win at roulette?
Win-win systems for playing roulette?
How to beat roulette?
How to win money at a casino?

These are the most popular questions asked by newcomers to the gambling business.
A working system for playing roulette will definitely not be simple. There is a sea of information on the Internet about how to beat roulette, but the casino is always in the black. If the systems were as effective in practice as in theory, then all online casinos would have closed long ago.

Casinos often play unfairly, and in order to really win, you need to complicate your systems.

The American roulette wheel has 38 pockets numbered 1–36, 0, and 00.
Let's say a casino offers a player to choose one of the numbers. If the player's number comes up, he gets $36; if any other number comes up, he gets nothing.
What will be the expected income of the player in this case?
The ball can land in any of the 38 slots with equal probability, but only one of them will win the player $36. If we divide the single chance of winning $36 by the 38 slots, we get 36/38 = 0.9474, or about 95 cents. By paying 95 cents for the chance to choose a slot, the player can expect to at least not lose anything in the long run.
Of course, no casino would allow a player to place a bet for 95 cents, since they would not make any money. In the real world, to place a bet, a player must pay more than the expected return, usually $1.

The five cents difference between the bet price and the expected return represents the potential profit or advantage of the casino. Over the long term, the casino can expect to make five cents out of every dollar paid for the opportunity to place a bet.
Given this, eing to win, a player must switch places with the casino in order to sell bets himself.
Then he will receive 5 cents by selling bets that cost 95 cents for $1.

Another option is to find a casino where you can buy the right to play for less than the expected income of 95 cents, say for 88 cents. Then the player will have an advantage over the casino of 7 cents.

Suppose that in our roulette example, the casino decides to change the rules of the game slightly. Now the player can bet for an amount equal to the expected return, i.e., for 95 cents, which, as before, goes to the casino if the player loses. However, if the player wins, the casino pays out the $36 winnings two months later. Is the deal now a breakeven for both the player and the casino?

Where did the 95 cents that the player put on the roulette wheel come from? Presumably, he took them out of his pocket, but they were previously withdrawn from a savings account. Since the winnings will not be received for two months, the player will lose two months of interest on the 95 cents. At an annual interest rate of 12% (1% per month), the lost profit is 95 cents x 2%, or about 2 cents. If the player buys the bet for 95 cents (the equivalent of the expected return), he loses 2 cents due to the cost of carrying the position - the cost associated with the fact that the return on his investment will not arrive for two months. The casino, in turn, deposits the 95 cents and receives an interest income of 2 cents after two months.
Under these conditions, the theoretical value of the bet is equal to the expected return of 95 cents minus the 2 cents cost of carrying the position, or about 93 cents. If a player pays 93 cents for a bet today and wins in two months, neither he nor the casino will make any profit in the long run.

The two most important factors to consider when planning an investment are the expected return and the cost of maintaining the position.

However, there are other aspects.

Let's say a casino decides to give a player a 1 cent bonus for the next two months. This bonus is added to the previous theoretical value of 93 cents to give a new theoretical value of 94 cents. The bonus is like a dividend paid to the company's shareholders.

A player may occasionally win big due to short-term luck. But in the long run, the odds are on the casino's side, and it will almost certainly take all your money.

Narrow bets are the key to short term wins.