This system is called the Bally’s. It works by putting units on the table in a certain way and **if you lose, you use a progression**. The principles of the game are:

- 2 units on the line 1 – 0 (which associates 0 with the numbers 1, 2 and 3)
- 1 unit on the split 4 – 5 (where they meet the numbers 4 and 5)
- 3 units on the six-line from 10 – 15
- 2 units on the corner of 20 – 24 (where they meet the numbers 20, 21, 23, 24)
- 1 unit on the split 22 – 25 (where they meet the numbers 22 and 25)
- 1 unit on the split 30 – 33 (where they meet the numbers 30 and 33)
- 2 units on the corner of 31 – 35 (where they meet the numbers 31, 32, 34 and 35)

There are 12 units altogether on the first spin. If you hit, a profit of 6 units is won. If you lose, you multiply all your bet sizes by 3. So altogether you bet 36 units in the second spin, 108 units in the third spin and 324 units in forth spin. If you lose 4 times in a row, you start again from the beginning.

## What do the Statistics say?

Having a bet on 24 out of the 37 total numbers, the probability of winning on each spin is 64, 86%. The probability that you will not hit 4 times in a row is 1, 52%. It practically means that you win 98, which is 5 times the profit of 6 units in 100 spins (591 units in total) and you lose 1, 5 times a loss of 480 units (720 units in total). Obviously, you do not make a profit…

We have attempted to design a progression. The results of the progression are shown in the following graph:

We tried to apply some modifications such as altering the number of spins in a series. What would be the effect of reducing the number of spins to 3, or increasing the number of spins to 6 or 12? The results of these modifications are shown in the following graphs:

The curve steadily increased resulting in a profit, but sometimes drastically plunged (local slumps) and a huge amount of money was required to cover these losses (the slumps even reached values of 300.000 units). In reality, it is not possible to wager such large sums of money (even if we had access to large funds) due to certain table limitations etc. Therefore this method is not feasible.

We also attempted to apply a progression. We returned to our original plan by applying the 4 spin limitation. After each losing series, we increased the size of the bet by 1 unit. What was the outcome?

**This system also appears to be unusable in long-term betting.**

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