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==Martingale System Analysis for the MMG - Calculating Initial Bet==
==Martingale System Analysis for the MMG - Calculating Initial Bet==


Total Meat Willing to Lose ÷ {X} = Initial Bet
Total Meat Willing to Lose ÷ '''{X}''' = Initial Bet
 
(Double your bet if you lose)
(Double your bet if you lose)




I am confident that I will not lose {N} bets in a row
I am confident that I will not lose '''{N}''' bets in a row




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<tr>
<tr>
<td>{N}</td>
<td>'''{N}'''</td>
<td>{X}</td>
<td>'''{X}'''</td>
<td>chance of losing it all</td>
<td>chance of losing it all</td>
</tr>
</tr>
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Caution!! if you lose 9 bets in a row, the chance that you will lose the 10th bet is still 50%, so the percentages are somewhat misleading.  Also, assuming a 1% chance of failure, after 100 bets, that chance of failure becomes 100% (statistically).  If you play long enough, you WILL lose it all, so know when to stop.
Caution!! if you lose 9 bets in a row, the chance that you will lose the 10th bet is still 50%, so the percentages are somewhat misleading.  Also, assuming a 1% chance of failure, after 100 bets, that chance of failure becomes 100% (statistically).  If you play long enough, you WILL lose it all, so know when to stop.


A technique to speed up the process of betting is to make bets in waves of 10. If 3 bets won and 7 lost, you would initiate 10 more bets (3 normal, 7 doubled).  This method really shows how the Martingale System falls apart because you could consistently win 9 bets, but lost the "same" bet over again, resulting in losing all of your meat at a 90% win rate.  All bets are independent, so the order does not matter, but making successive bets linearly the illusion of having a better chance.  If you win a majority of the 10 bets, it is best to start with a fresh 10 bets since you already made a profit.  Following the same logic, if you lose 6 and win 4, then you should only double 3, or 6-(4-1), of the bets, since the 4 wins swallow up 3 of the losses.
A technique to speed up the process of betting is to make bets in waves of 10. If 3 bets won and 7 lost, you would initiate 10 more bets (3 normal, 7 doubled).  This method shows how the Martingale System falls apart because you could consistently win 9 bets, but lose the "same" bet over again, resulting in losing all of your meat at a 90% win rate.  All bets are independent, so the order does not matter, but making successive bets linearly the illusion of having a better chance.  If you win a majority of the 10 bets, it is best to start with a fresh 10 bets since you already made a profit.  Following the same logic, if you lose 6 and win 4, then you should only double 3, or 6-(4-1), of the bets, since the 4 wins swallow up 3 of the losses.

Revision as of 22:44, 12 October 2008

Martingale System Analysis for the MMG - Calculating Initial Bet

Total Meat Willing to Lose ÷ {X} = Initial Bet

(Double your bet if you lose)


I am confident that I will not lose {N} bets in a row


{N} {X} chance of losing it all
1 1 50%
2 3 25%
3 7 12.5%
4 15 6.25%
5 31 3.125%
6 63 1.5625%
7 127 0.78125%
8 255 0.390625%
9 511 0.1953125%
10 1023 0.09765625%


Caution!! if you lose 9 bets in a row, the chance that you will lose the 10th bet is still 50%, so the percentages are somewhat misleading. Also, assuming a 1% chance of failure, after 100 bets, that chance of failure becomes 100% (statistically). If you play long enough, you WILL lose it all, so know when to stop.

A technique to speed up the process of betting is to make bets in waves of 10. If 3 bets won and 7 lost, you would initiate 10 more bets (3 normal, 7 doubled). This method shows how the Martingale System falls apart because you could consistently win 9 bets, but lose the "same" bet over again, resulting in losing all of your meat at a 90% win rate. All bets are independent, so the order does not matter, but making successive bets linearly the illusion of having a better chance. If you win a majority of the 10 bets, it is best to start with a fresh 10 bets since you already made a profit. Following the same logic, if you lose 6 and win 4, then you should only double 3, or 6-(4-1), of the bets, since the 4 wins swallow up 3 of the losses.