Challenge: The person who provides the best way to win 1 BTC using a bankroll of 1 BTC. I will give 0.1 BTC to (payable to their moneypot account).

Assuming the constraints of a dice site such as bitdice.me or pocketrocketscasino.eu: 1% house edge, 9900x max payout, 1 satoshi minimum bet.  Provide a well-defined betting sequence to maximize the chance of winning 1 BTC. If I don't have the skills to analytically analyse your solution, I will be forced to simulate it over a few billion runs. Your betting sequence must be FULLY specified without any ambiguities.

Let me start with the most obvious solution:


Bet 1 BTC @ 2x  ... which gives an EV of -0.01, and a chance of winning at 49.5%