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DRJ said:
Yeah you switch cause the announcer has a limited choice, he can only pick one that doesnt have the item. Since his choice is constrained you get better odds. An easy way to look at it is if there were 100 boxes and you picked 1, then the announcer says I will open 98 that don't have the item, then do you want to switch. The choice would be very obvious.

Actualkly that does make it easier to understand.  However, if given the chance to switch after each box, you don't want to switch until the last possible moment...