[madnak]

[ QUOTE ]
But what about the Monty Hall problem? A logical approach will always ascertain the correct answer, while an illogical approach will not (can you give an example of how an illogical approach will yield a correct answer, and do so at least 50% of the time?). A coin flip will yield the correct answer 50% of the time.

Explain this, and you'll have me convinced.

[/ QUOTE ]

I really don't see the problem. In my experience, most illogical people don't think it matters which door you choose, about half choose to stick with their door and about half choose to change doors. I mean, the illogical approach of "I'm usually luckier with my second guess than with my first, so I'll change doors" is just as correct as the logical approach here. Or even the more psychological approaches, "I'm adventurous, I'll see what's in the other door," etc.

But even the "standard" illogical approach - "there are two doors and I don't know which is which, so it doesn't matter which I choose" is as good as a coin-flip.