Strategy 1:You're always playing 9900x using a martingale sequence, i.e. your wager for each round is
ceiling((2 - PLAYER_BR)/9899,1e-8)
you run out of funds after 6861 bets. You lose all of them with a probability of
0.9999^6861 = 0.5035187605260536
or put differently you have a
49.64812% chance of winning.
Strategy 2:You're constantly playing 20203 satoshi but increase the payout each round by exactly 1x starting at 4951x which will leave you with 1.00004850 BTC profit. You run out of funds after 4949 games and your last payout will be 9899x. You lose all of them with a probability of
prod(1-0.99/i, i=4949..9899) = 0.5035283796177312
leading to a
49.64716% chance of winning.
I Hope the math is correct
