Math ph.d candidate here... and I'm genuinely asking questions so if I'm making a mistake somewhere please point it out to me.. the problem is laid out as I see it as follows: In the given spreadsheet, for 60 / 600 compromised nodes there is a .98% chance of the coins being traced (using 2 hops of mixing). So let's round that to 1% to simply the math. Now if you only do one transaction, then that's a low chance. But I want to use coins more than once. So lets say I do something that has a 1% of happening for 100 times. What is the chance that one of those times it will happen? The math is laid out here: https://uk.answers.yahoo.com/question/index?qid=20080126081910AAdbGVx  very nicely. Apparently it's a 63% that one of these times it will happen. As I've said, 3-4 times per day / month is about 100 times. So if I want to make about 100 transactions anonymously per month, that means there is a 63% that one of them will be discovered i.e. "I get caught" Now, I'm asking how does this change for more hops... I feel like this is a very good and interesting question. Please let me know so I (and others) can udnerstand the level of anonymity provided.