Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Monty Hall Problem is not a Probability Puzzle (it's a challenge in
  mathematical modelling)   Suppose you're on a game show, and you're given the choice of three doors:
Behind one door is a car; behind the others, goats. You pick a door, say No. 1,
and the host, who knows what's behind the doors, opens another door, say No. 3,
which has a goat. He then says to you, ``Do you want to pick door No. 2?'' Is
it to your advantage to switch your choice? The answer is ``yes'' but the
literature offers many reasons why this is the correct answer. The present
paper argues that the most common reasoning found in introductory statistics
texts, depending on making a number of ``obvious'' or ``natural'' assumptions
and then computing a conditional probability, is a classical example of
solution driven science. The best reason to switch is to be found in von
Neumann's minimax theorem from game theory, rather than in Bayes' theorem.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th