I will say this for working with a bunch of geek fellow travelers: you learn a lot of interesting things during lunchtime conversations, such as the fact that Monty Hall has a probability problem/”paradox” named after him.
The problem, simply stated, is that contestants on Let’s Make a Deal! have a 2/3rds probability of winning the non-booby prize when offered, post-revelation of one booby prize, a chance to switch the door they’ve chosen and not a 1/2 probability as one might assume. Who knew gameshows involved actual, you know, game theory?
(Click through to the ‘Pedia link above to read the full explanation.)