This sounds interesting but confusing at the same time.
Crash game is just like a slots game with a little twist since you can control when to take profit, and the house always win on this kind of game since its based on their system and they already worked to that numbers so someone will really lose the money, this is gambling after all.
I'm playing the Crash game and it's one of the exciting and less boring games I always check if there are crash games on casinos I'm playing but compared to the other luck-based game you have control over when you want to stop and to pass, I never think of probability unless I have a big wage and decided that I will try to beat the house edge, but in the long run after all the computation the house will still win, unless someone uses that formula and claim that he wins big using that formula.
There's no way to beat the house since we don't have any idea on the size of there bank roll. The only way that you can possibly defeat the house is when your money greater than to the house bank roll since your enemy is a fixed percentage of your bet and you will lose in the long run if your bank roll can't withstand the long lose streak. As the OP probability tabulated, You can possibly win if you can bet most of the round with fixed amount and cashout on same target price for as many round as possible until the long green streak come. Playing it randomly will not gonna give a significant result overtime.
No one has an infinite bankroll no matter how rich you are there would be a certain limit that you won't be able to cross as a gambler...when I started playing crash games I had a lot of good and bad days, on the bad days I chased my losses using the martingale strategy, after losing a particular round I would double my stake to try and recover, this was actually a wrong move and it made me lose a lot of money..The algorithm is programmed to always win, so if you are a constant player you can never be in profit, the house always wins.