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?
First of, you need more than 40 BTC in your balance for using this strategy. To beat a losing streak of 36 times in a row with 1 satoshi as initial bet you need to have 2 to the power of 36 sats:
2^36 = 68,719,476,736
So, as you can see, it's 687 BTC which is much more than 40.
Secondly, although no less significantly, is wearing-out of your equipment working 24/7.
Although we can neglect the power consumption because it is $0.5 per day max for a laptop, I think no one would risk 687 BTC in order to earn 50k sats daily.