re: Marilyn vos Savant and the history of the Montel Hall question

I haven;t read all the responses but in this game it boils down to your only having two strategy choices in the beginning.

1 - you can pick any one door and stick with it. ( = 1/3 chance of success)

2 - you can pick two doors and stick with it. (to do this one, you 'pick' one and switch to the other two = 2/3 chances of success)

No. 2 is really saying "I'll eliminate that door and take whatever is behind the other two."