You're right, my language was pretty poorly picked. I should have said: "Maximizing the probability to win 1 BTC" as opposed to "Maximizing the EV".  Your bet does however does use fractions of a satosishis, so I'll give you 0.05 if you tell me your MP Account or bitcoin address.

The core question is still open, and for the people who suggested martingale betting sequences, I'll writes some code to figure out the probabilities a bit later.