Re: To put an end to this
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pzhon is right in that every single event of the flip is -EV for the player...
this could be a +EV gamble for the player.
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No. It can never be +EV for player.
Suppose your task is to write down numbers that add up to 100 (or more). The catch is that you can only write down negative numbers. Your method can be very complicated: You can use the day of the week to decide on the next number, you can toss a coin to choose a number, you can use a progression of numbers, etc. Can you write down negative numbers that add up to 100? No.
No collection of negative numbers adds up to a positive number. This is true even if you have a method for choosing them that is so complicated you aren't quite sure what the sum is.
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