Ovinomancer
No flips for you!
Here's the longer breakout. While it is true the individual trials are 5%, ypu can't just add thise because you have to account for the probability of not rolling a one for the ither rolls. So, it's .05 x (.95^8). But, that's just for rolling a single one, and, even here, there's 9 ways ypu can do it -- first roll is a one, second is a one,... last is a one. Now ypu need to do 2 ones and all those combinations. Then three ones. Etc, etc. Now you can sum these to get your answer.I don't claim to be a statistician. I don't even play one on TV. I still don't follow because a 1 always misses and there is a 5% chance of a 1 every time you roll a D20. If you flip a coin it doesn't matter if it was heads or tails the previous flip, it's still a 50% chance of heads or tails. But it's lies, damn lies and statistics so ... sure. Still more than I would care for.
Or, you can recognize that all of that boils down to 100% minus the chance to never roll a one and do the simpler math.