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# 4567 System

Last updated: 07.14.2023 by Andrew Shepard

The strategy called 4567 is known in narrow circles of gamblers, and there is not much information about it. It is based on the neighbours' bets on the race track, namely, non-overlapping numbers on the wheel and the table. This may sound somewhat confusing, but everything is easy to explain, and we will show how this strategy works in simulation tests.

## How the 4567 system works

Why did this strategy get such a name? It is known that neighbouring numbers on the roulette wheel and the table differ. The sequences of numbers are different. Try to cover as much as possible with several neighbours (5 numbers each) on the race track the maximum number of pockets so that they do not overlap each other on the roulette table: this turns out to be problematic. In order not to do long experiments, we will reveal to you these combinations:

• Neighbors of numbers 3-4-5-6
• Neighbors of numbers 4-5-6-7
• Neighbors of numbers 15-16-17-18
• Neighbors of numbers 16-17-18-19
• Neighbors of numbers 17-18-19-20

Pattern 4567 stands out among the others in that it has the minimum distance on the race track between neighbours - 7 units, so the occupied pockets on the wheel are distributed as evenly as possible. This is where the strategy got its name from.

So, what is the very essence of the strategy? It is much easier to explain than the origin itself. The algorithm is as follows:

• We bet on the neighbour numbers 3-4-5-6
• If we lose, we increase the bet by one unit
• If we win, we reduce the bet by one unit while not falling below the minimum bet
• When winning, we change the pattern to 15-16-17-18 while maintaining the progression of bets
• Similarly, we successively switch to patterns 16-17-18-19, 17-18-19-20, and finally 4-5-6-7, and subsequent bets we play according to the last pattern

Statistically, the patterns are no different: each of them consists of 20 numbers, so the probability of winning is 54%, and the payout will be 16 units. Therefore, regardless of the algorithm, no matter how you change patterns during the game, it will not affect the statistics.

## Testing of 4567 system

It will be especially interesting to test this seemingly confusing strategy. The math model of the simulation is quite easy to set up in Google Sheets: we know the probabilities of winning and losing, the payout ratio, and the progression algorithm. Let's create 3 simulations with \$1000 bankrolls and 1000 spins sessions. Thus, we get a graph of the bankroll dynamics throughout the session.

In the first simulation:

As you can see, the dynamics of the decline are too fast, so let's look at a larger scale:

Thus, similarly, let's look at the results for the second and third simulations:

In general, the decline of the bankroll to 0 occurs quickly. This is partly explained by the fact that we progressively increase the bet by 1 unit in case of loss; that is, the bet value gradually accumulates. Moreover, the starting value is 20 units - in fact, we set 20 straight-ups, and as the game progresses, the bet increases by another 20 if you lose. Theoretically, you can get a small profit in 10 spins.

## Pitfalls of 4567 strategy

Since we bet on 4 neighbours in one turn, for a total of 20 straight ups, and besides, we change the size of the bet according to the progression, then in long sessions, the bankroll drops very quickly.

For a short session, success is also questionable, although it is possible, because the probability of winning is 54%, and losing, respectively, 46%.

## Conclusion

It is not easy to understand the very nature of the strategy, namely why we bet on specific neighbours' patterns. But in practice, the strategy did not show the corresponding results. In a long session, the bankroll quickly goes to 0. In a short session - if you still try to use the 4567 algorithm - play no more than 10-20 progression spins. And if you want to extend the session, control the bet amount: do not use too high values.

Even if we imagine that we are playing simply according to the 4567 patterns without using a progression in the bet value, we can calculate: according to statistics, for 1000 spins, there will be 540 wins with a profit of 540*16=8640 and 460 losses with a total loss of 460*20=9200.

Claims that this strategy can be effective have no real basis. If we compare the results of the simulation with other strategies, we see that the 4567 system does not stand out as an advantage.

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