On the radiology and nuclear medicine side, air force and navy techs seem a lot more rad safety conscious than the army people I have met.
Having whoever screwed up worst buy everyone else beer each week strikes me as a very good way to shame that person, and encourage people to try to avoid being that guy.
Yes, it is done in a joking manner, and it is accepted that everyone will be that guy some time. But I know how I'd react.
(Aside: how many articles was Joel planning on writing when he came up with that URL scheme? Crikey.)
Some teams want everyone to be familiar with how they do it. If that is your goal, you have to pick the unlucky person in some way.
http://en.wikipedia.org/wiki/SL-1
To this day it remains one of the worst reactor accidents, with design and operational mistakes on the scale of Chernobyl. It's enormously fortunate that the reactor was fairly small.
SL-1 had a negative void coefficient: as the coolant boils off, fewer neutrons are slowed down to speeds where they can be readily captured by fuel and the reaction slows down, creating a negative feedback loop. This type of passive safety is all but mandatory in modern reactor designs. SL-1 blew up because the feedback loop lagged behind the pressure buildup by a few milliseconds, and it spontaneously disassembled (kaboom). No meltdown, no china syndrome -- just a bunch of fuel all over the place and a guy impaled on the ceiling.