Are you able to beat 49.6522222%, or do you think that is a hard limit?
After going through post #198 carefully, I agree the number 1 - 2**-0.99 you get should be the limit under perfect conditions (the bet size and multiplier can always be set to make the balance after winning a bet to be exactly 2 btc). Under actual conditions (bet size cannot contain a fraction of satoshi, bet win chance % can only contain 2 decimal place) it cannot be done and so the "best" way would be slightly lower than that.
BTW, I have not heard of the word "L'Hopital's rule" for like a decade lol.
My recent post shows strategies that give a 49.6522222% percent chance of winning, so your post (which came after) doesn't beat mine.
As mentioned in the OP, the betting sequence has to be well-defined and subject to the constraints of a dice site such as Bitdice or PRC. IMHO, the numbers you get in that post does not seem to qualify.
I notice the word "them" in the quote. Do I get 0.1 btc for beating dooglus' solution?
Damn it. Guess that serves me right for trying to use gender-neutral pronouns. What's your MP or BaB username?
(Give me a day or two to verify the solution, and after this, no more prize money will be given out
)Received the 0.1 btc. Thanks Ryan.