# Australian Roulette strategies

Finding a strategy that guarantees safe earnings at stake is a very widespread concept, not only among amateurs, but also among mathematicians whose insights are much greater and who should know that a winning strategy in games of chance simply cannot exist. Why can't it exist, someone will ask? Because it's contrary to the concept of gambling. The casino makes a number of games available to players and at each of these games the player has a mathematical advantage over the player. If there was a safe system for winning, the players would not exist: we all know that they exist, therefore a safe system for earnings does not exist.

It's interesting how strong the human urge to make easy money is. Thousands of excellent mathematicians have developed the most diverse theories over the centuries to outsmart casinos. They spent millions of hours of working time to eventually all come to the same conclusion: there is no sure gain. A lot of research, especially regarding the lotto, which is one of the games of chance, but also on roulette, was based on looking for the greatest possible overdue number can have. When this largest number is reached, or approached, it should start investing in this number because sooner or later it has to come out. All of them forget one simple and clear logic to everyone: numbers have no memory. The probability of one number going out on roulette is one in 37. If a certain number did not appear in 300 wheel turns, in the next turn its probability is always 1:37. Normally, a set of such negative events becomes less and less likely with the growth of late, but the true limit of the very overdue in theory does not exist.

Why this consideration of overdue numbers? For the simple reason that most roulette systems are based precisely on the late numbers or their groups. For those who have a certain interest in mathematics and statistics and who would like to know how it counts, or rather estimates, the biggest overdue, here's a brief theoretical contribution. Moves from the formula:

px = 1/u

Where:p = opposite probability of event (probability of not happening)u = total event frequencyx = maximum event overdue

To solve the above equation by unknown x, one should switch to logarithms, so the solution of the equation above is:

x = logp(u)

p = a/b; where there are a total adverse events, and b all possible events.

In the end, we have a practical formula in which only known values should be included:

x = log(u) / [log(b) - log(a)]

Example: we want to calculate (estimate) the maximum overdue single number on roulette.- We have 37 possible events (36 warheads one zero). That's parameter b.- Of these, 36 are negative events (no numbers other than the one expected come out). That's parameter a--The whole budget is in function of the frequency of events and we have to assume that for ourselves. Since this is about the exit of one number, each wheel spin is one event. Suppose we observed 10,000 turns. That's the parameter in.

x = log(10000) / [log(37) - log(36)] = 336

It means that in one series of 10,000 games on roulette, one can expect some of the numbers to reach a late 336-pitcher. With the increase in the database we are looking at, the expected overdue will also increase. So for 100,000 games we will get a value of 420 spindles.

Below we will comment on two roulette strategies based on a game of equal probability. For equal probabilities (red/black, pair/odd, low/high), with the same frequency of 10,000 we will have an estimated late charge of log(10000) / [log(37) - log(19)] = 14 games. For 100,000 events, that number rises to 17 games.

## Strategy Martingala

Probably the oldest roulette gaming system was developed in the 18th century, in France, by bookmakers. The system is known as Martingala (it exists as a name and theory of probability and speaks of random events). The system is very simple and easily applicable, and therefore has gained some popularity among players (unfortunately for them, because it leads to an almost certain loss). It is played on equal probabilities (red/black, pair/odd, low/high), investing one token not say red numbers. In case it is lost, it is played on the same game (red), double the stakes. So it continues until it comes out red: this is how the cycle ends and begins from scratch, from one token). Thinking is very simple: sooner or later what we play has to come out. This is true, but the problem is the progressive raising of roles that very quickly reaches extremely large amounts. Suppose we play five times, and we lose five times in a row. We invested 1 2 4 8 16 = 31 chips. In the next round we have to invest 32 chips and if we win, in the end our earnings are 1 token, but in total we invested 31 32 = 63; extremely disproportionate and risky in terms of earnings.

Try to create a bill yourself for 10 negative outcomes in a row. It doesn't make sense! From various statistics it can be seen that the number of successive outcomes of the same color (for example), is over 20. And a lot of rich people couldn't afford one such black batch. There is another problem, which eliminated this one that we have just discussed: all top bitcoin casinos have limits to the biggest betting. These boundaries are much lower than what we assumed when considering a progressive increase due to the doubling of roles. A variant of this system is to wait for, say red, to come out five times in a row and then start applying the methods. Thus, the possibility of playing is very limited, and with it, logically, the risk. The problem is that the risk cannot be avoided in this way either.

For a better understanding, here's a progressive series for the first 10 bets, for unit value. There is a cumulative bet amount in the bracket. When a win is achieved, the earnings are always 1 token https://www.liquorandgaming.nsw.gov.au/independent-liquor-and-gaming-authority/about-ilga.

1 (1), 2 (3), 4 (7), 8 (15), 16 (31), 32 (63), 64 (127), 128 (255), 256 (511), 512 (1023), ...

In order to obtain a monetary amount for a higher or lesser token value than the unit, it is sufficient to multiply the amounts by the desired value of the chips.

## Strategy Fibonacci

Those who realized the Martingal system was inadequate and too dangerous for the player tried to find improvements. That's how a system based on Fibonacci numbers was born. The characteristic of fibonacci's string is that each number is in fact the sum of the previous two numbers. So we have 1, 1, 2, 3, 5, 8, 13, 21, etc. The eye shows that progression is much smaller compared to sub-payment. Betting begins with the first number in a row. Every time it is lost, the amount representing the next number in the series is bet. When he wins, he goes back two numbers. Unlike subsection, the entire loss is not compensated here at the first gain, but only partially. To achieve earnings, it must return to the first number in a row. For comparison, when subseating, after 5 losses, 32 chips should be invested and if obtained, the earnings are 1 token. In fibonacci system, under the same conditions, only 8 chips should be invested after 5 losses, but if obtained, a loss of 8 – (1 1 2 3 5) = -4 chips remains, which must be compensated for in the rest of the game.