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| | vos Savant (Site not responding. Last check: 2007-11-02) |
 | | In her column, vos Savant answered, "Yes, you should switch." She explained that, obviously, there is a 1:3 chance that the original choice, door No. 1, is the correct one. |
 | | As vos Savant explained, by removing one empty shell "we've learned nothing to allow us to revise the odds on the shell under your finger." She then presented a "probability grid" containing all possible permutations of the game, showing how "when you don't switch, you win one in three times and lose two in three. |
 | | And if that isn't sufficiently clear, vos Savant asks the nation's math teachers to perform 400 trials of the "shell game" with their students, the first 200 with no "switching," followed by 200 "switches," with random selections to be made by rolling a die until a 1, 2, or 3 comes up. |
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