Why do we think Holt and Kevin chose their respective sides of the Monty Hall problem?

I mean, Kevin studies the classics, and while I'm sure he can hold his own in math, Holt is the one repeatedly portrayed as mathematically gifted. It doesn't make a whole lot of sense to me why Raymond should be the one to get it wrong. Did they just want to have the gag of Holt firing Amy because she disagreed? Idk what do you guys think?