Apparently you have a 85% survival rate if treated.
But is your average idiot going to know about the history of the black death?
Black Death isn't as much of an issue as it used to be since most of humanity is currently descended from survivors. Remember, the plague rats followed the Mongols all across Asia to get to Europe, Europe was just hit the hardest. Between that and the Native Americans being mostly wiped out later, the most vulnerable humans would be those who's background is African or from any of the island chains. Even then, that assumes no genetic exposure to the survivor populations at all, which is much less likely than people believe. Contrary to popular opinion, there are almost no people who are "purely" of one ethnicity. The only ones who could even potentially qualify for that would be the more isolated island populations.
According to this quiz I just took, it was the bubonic plague that led to the Renaissance. Who knew art would teach you so much about deadly pandemics?
Try the other way around. With so many dead people the survivors carved up the land and resources that were no longer being as heavily taxed, which created the proto-industrial conditions of the Renaissance. It helped that most of the Old Guard of the time had died of plague by this point and thus weren't in a position to hinder new ideas.
And now, an interesting fact: Budapest, which at the time was simply called Buda, was completely missed by the Black Plague. Venice, on the other hand, lost the majority of its population.
Another interesting fact: I may or may not have at one point been exposed to Bubonic Plague. I didn't catch it, but I did accidentally come in physical contact with a dead rat in an area notorious for infections of Bubonic Plauge (New Mexico, for the record). Fell right on the thing. It was a very nerve-wracking few days, not helped by my mother's screeching rage about it.