A big LOL to this one. For the others, long as you have a big bankroll, you can make profit. That's it. Just have an infinitely big bankroll 
Now that I am thinking about it, I wonder if there's a casino with the biggest possible wager that would allow to maximize such a Martingale strategy? I know 999dice has 40 BTC max profit so that's 40 BTC on a x2 martingale which means you could go for a 36-streak martingale on x2 payout, starting at 1 satoshi and 36th bet at 34.36 BTC.
I suppose you could go all day autobet. Chances of hitting a losing streak 36 times in a row is 1 in 34 billion or something because of house edge.
If you can do 100k bets a day = 50,000 satoshi profit average daily.
Chances then become that you bust 1 every 34,360 days, almost 100 years.
So if you only play for 1 year, you have a 1 in 100 chance of busting that. If you get away with this. you make BTC 0.1825
Worth risking 40 BTC?