The martingale system is one of the most interesting systems when looking at betting. It is also a system that lures bettors in because it's an attractive, sexy looking betting system and intuitively it makes sense.
We all know as seasoned sports bettors that martingale system is a winning system in theory and not so much in practice. There is obvious pitfalls to this system. Mainly the only way it actually wins is with unlimited wealth. This line from Wiki pretty much sums up this system. " It is only with unbounded wealth, bets and time that the martingale strategy can succeed."
Now I'll spend a couple of minutes on an easy to understand reason why Martingale fails the real world test. A very basic mathematical look shows the pitfalls right out of the gate. For this example I'll start making bets at $20 and I will not include the vig to keep things simple. These bets are obviously based on a 50% chance of winning.
First bet $20 to win $20 roi=100%
Second bet $40 to win $40-$20=+20 or 40 to win 20 roi=50%
third bet $80 to win $80-$40-$20=20 or 80 to win 20 roi=20%
fourth bet $160 to win $160-$80-$40-$20=$20 or 160 to win $20 roi=12.5%
fifth bet 320 to win $320-$160-$80-$40-$20=20 $320 to win $20 roi=6.26%
As you can see by the fifth bet you are spotting over 93% of your wager just to win your money back plus $20. If someone asked you to play heads or tails but you had to put up $320 to their $20 (thats funny just writing it) I think you would say no rather quickly.
This should clearly show why the Martingale system fails in it's purest form. This system can be modified into a more reliable system. Also to make it a system that works long term a couple of other things must be true.
1) you must have a long term positive expected value (in sports 52.7%+)
2) your roi has to decrease at rate much less than it does when just running martingale in it's purest form.
So now I've all but given way the answer to this puzzle. I'll let you all mull that over a bit.
:beer2:
We all know as seasoned sports bettors that martingale system is a winning system in theory and not so much in practice. There is obvious pitfalls to this system. Mainly the only way it actually wins is with unlimited wealth. This line from Wiki pretty much sums up this system. " It is only with unbounded wealth, bets and time that the martingale strategy can succeed."
Now I'll spend a couple of minutes on an easy to understand reason why Martingale fails the real world test. A very basic mathematical look shows the pitfalls right out of the gate. For this example I'll start making bets at $20 and I will not include the vig to keep things simple. These bets are obviously based on a 50% chance of winning.
First bet $20 to win $20 roi=100%
Second bet $40 to win $40-$20=+20 or 40 to win 20 roi=50%
third bet $80 to win $80-$40-$20=20 or 80 to win 20 roi=20%
fourth bet $160 to win $160-$80-$40-$20=$20 or 160 to win $20 roi=12.5%
fifth bet 320 to win $320-$160-$80-$40-$20=20 $320 to win $20 roi=6.26%
As you can see by the fifth bet you are spotting over 93% of your wager just to win your money back plus $20. If someone asked you to play heads or tails but you had to put up $320 to their $20 (thats funny just writing it) I think you would say no rather quickly.
This should clearly show why the Martingale system fails in it's purest form. This system can be modified into a more reliable system. Also to make it a system that works long term a couple of other things must be true.
1) you must have a long term positive expected value (in sports 52.7%+)
2) your roi has to decrease at rate much less than it does when just running martingale in it's purest form.
So now I've all but given way the answer to this puzzle. I'll let you all mull that over a bit.
:beer2:
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