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Other versions of Martingale

 

We have already considered the probability of winning by results of several games by the continuous doubling of bets after each loss. The table below illustrates the financial implications nine consecutive losses preceding a win.

 

№BetResultBalance
11--1
22--3
34--7
48--15
516--31
632--63
764--127
8128--255
9256--511
10512++1

 

While using this roulette system, it is necessary to remember the table’s limits. Let us modify the schedule for the table which has a minimum bet of €25.

 

№BetResultBalance
125--25
250--75
3100--175
4200--375
5400--775
6800--1575
71600--3175
83200--6375
96400--12775
1012800++25

 

In general, any table where the minimum €25 is placed on the bet on even chances, the top limit on the same table is, as a rule, €1000. It is apparent from the above table that our experiment will finish after the 6th loss, or after losing €1,575. If we continue to play and, with no opportunity to double, simply make the maximum bet of €1,000 (based on the assumption that “our day will come”) on 7th, 8th and 9th throw, we lose another €3,000. Finally, on the 10th, we win back €1,000. Then we’d be in the hole €3,575.

If only one condition of the roulette system is impossible to fulfill, then the roulette system no longer works.

In systems like martingale rarely can be used the reverse of the principle. The player adds the sum of the initial bet to the next bet irrespective of the result of each spin. He plays on even chances. The player decides when to stop the game whenever he wants. Here is an example of such strategy:

 

№BetResultBalance
11--1
22--3
33--6
44--10
55--15
66--21
77+-14
88+-6
99++3

 

This type of roulette system has very little bearing on probability calculation, or on mathematics in general. What would the player do and which strategy will he select if he lost on 8th and 9th spin?

 

 

 

Source:

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