Re: Must you go broke to be great?
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can reasonably take $100 and grow it to nearly $500,000 in a year, with minimal risk of going broke
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That depends on how you define minimal risk. If your great player has a 2% Risk of Ruin at any given level that would mean he has a greater than 20% chance of going broke before getting to 400K in 1 year. If he's willing to drop down levels as required to preserve bank then that 20%+ number is no longer true, but his chances of getting to 500K are now greatly reduced.
If his Risk of Ruin at any given level is 5% rather than 2% then that 20%+ changes to 45%+.
If we take a great player and assume that at the lowest level his ROR is .1%, next level it goes to .25%, then goes to .5% then increases at a rate of .5% per level as the difficulty of the game increases until he reaches a 5% ROR after 12 levels his overall ROR is still in the 25% range.
So again, it all depends on what you mean by "minimal risk".
You're talking about 12 levels here and Risk of Ruin starts over each time he moves up a level so your cumulative risk is geometrically imcreasing as you move up (if you don't allow yourself to move down as needed).
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