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The modification of the Thomas Donald system

One known mathematician put the Thomas Donald system to revision. He said the following:

I always do my bet on red. Suposing, the primary bet is 1$. After black has dropped out increase the bet for one unit. But what should i do if iput on red and won? In accordance with the Thomas Donald system the bet must be unchangeable, because the are neither zero bets, nor negative ones. But why?- thought the mathematician. And he tried: the result was rather interesting.

In order not to break the rules of the system you should decrease the bet on red which won for one unit. If you have done 1$ bet, the next one must be equal to zero. It is understood what the zero bet means: you simply miss the next rotation of roulette. But the sum equal to zero has been put on red.And you look after what will drop out very attentively in order to know how to do a bet next time.

Supposing, red has dropped out again. You've won and must decrease your bet one more time. The next bet (in accordance with the system) must be equal to -1(one unit minus).

What does a negative bet on red mean? It is a bet on black. Whatever happens later, there's only one rule:

If black drops out the bet is increased, if red drops out the bet is decreased!

For example, at three successive rotations of roulette red drops out constantly. After the first start of roulette we win 1$, after the second - we do a zero bet and then - 1$ minus (1$ for black).

According to the Thomas Donald system if zero drops out the next bet must be increased. It should be increased by module in the modification of the system. In other words if the bet is positive, it should be increased for one unit, if negative - it should be decreased for one unit.

Unfortunately zero breaks beautiful quality of invariance that's why it' difficult to suppose your next step with certainty.