The importance of being (Error!)

[madnak]

To get started I'm going to pose a hypothetical.

Fred Astaire is always right. He never makes a mistake. If you give him a problem that he can solve, he will solve it correctly 100% of the time. But Fred can't handle differential equations. Starting somewhere around basic calculus, he just can't wrap his mind around the problem. Fred's a logical person, he's right where all of the common-sense stuff is concerned, and he's a great poker player.

Ginger Rogers makes mistakes. She makes lots of mistakes. In fact, in every problem she tries to solve, she has a 50% chance of [censored] up. What's 3+3? "7." What's the largest mammal? "The shrew." How many fingers am I holding up? "Erk - NaN." But Ginger can handle any kind of problem. She consistently scores 60 on the Putnam exam, and if she sets out to prove the Goldbach conjecture, she has a 50% chance of success. Yes, no matter what the problem is, Ginger has a 50% chance of solving it. Ginger is often seen as irrational due to her mistakes, and she frequently hemorrhages money in poker.

So, who's smarter?