The chance of happening 10 loses in a row is a lot more common than 1/1024. I don't know how you get that number but do you realize that every single bet is independent from each other? It seems you don't, like %90 of matingale users.That means you cant exactly predict the time of that +10 losing serie(s). You may get 10+ loses in your first session. than bam. you re out.
At the 50% level, the chance of losing 10 times in a row is 0.5^10, which is 0.098%, or 1/1024. But that's just an average. It could happen at any time, or even multiple times. Also remember that whether you're betting manually or automatically, you can rack up 1024 rolls more quickly than you might think.
The chance of having 10 losses in the coming 10 bets is 1/1024, but it is not when you play thousands of bets on auto betting.