"=Probability or Decision?===

I'ld like to retrieve one small item from the above hidden stuff. Martin's remark ""the answer is 2/3"" and mine, ""no, the answer is switch"". I did not mean to imply that the 2/3 should be made completely invisible. Of course one must emphasize that a good *reason* to switch is because the probability is 2/3 that you'll get the car this way. It is even a very very good reason to switch, since it is can be shown (if all doors are initially equally likely to hide the car) that you can't do better; in particular, complicated strategies of sometimes switching sometimes staying depending on specific door numbers lead to a smaller chance of success! (Morgan et al; Gill).

I hoped that this remark of mine would help show that by careful choice of words it's possible to write sentences which many more editors could agree with. And which everyone can agree are not misleading and which everyone can agree reflects what is in the literature.

Remember: Vos Savant and Whitaker ask what the player should do. Introducing probabilities into the story is one way of finding justification for an action. The phrase ""the probability"" leads straight to controversy, at least to disagreement (both among editors and in the literature). The phrase ""what action should the player take"" leads to concensus (both among editors and in the literature). 

It's just meant to be a small, practical concensus building suggestion!   

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