The lottery is one in ~14,000,000. This is one in ~3,400,000,000,000,000,000,000,000,000,000,000. The odds of a random btsync collision are in the same region as the odds of everybody on the planet winning the lottery at once If you're willing to wait longer than several lifetimes of the universe before it happens once, then yes, it will happen "eventually". I get the point you're trying to make -- that if everybody prefixed their secrets with their username (for example), then there would /never/ be any collisions; but that isn't actually true, because of brute forcing and typos -- and the odds of somebody either brute-forcing or typoing an 8 character username + 8 character password that collide with someone else's are considerably higher than doing the same for a 32-character secret. In the end, it's only the /total length of all login details combined/ that matters, and so btsync's idea of "one long secret" is considerably stronger than the traditional "short username + short password".