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if you play with the highest win chance possible, you lose exactly the house edge from the wagered amount after around 10k bets made.
I believe that is because you have to play long enough so that the math starts to get "activated." In order to have around 1% loss, you must play x amount of rolls.
In your two examples, you simply didn't (or can't) play long enough. Hence without unlimited money,
and let's say you used martingale, you will exit really fast.Yeah, right, that's what I've noticed, with martingale you normally lose much more than just site's house edge. Almost all my big losses on dice sites occurred because of martingale. But if I play with the highest win chance possible (without increasing 10,000% on loss), I lose very close to 1% of the wagered amount if the house edge of the site is 1%, and it's close to 0.8% if the HE is 0.8% and so on.
My point is, if someone wagered 10 BTC on a dice site with 1% HE, it doesn't mean he/she lost around 0.1 BTC, like someone stated earlier in this thread, but they could lose more or win even. The only case when you really lose around the HE is when you play "long enough", as you said, or, in other words, when you make over 10,000 bets, from my experience, and when you never increase on loss, but just roll and roll with the highest win chance possible.