Marilyn Vos Savant addressed this in a column a couple of years ago. And Bob Barker has done this on the Price Is Right for thirty-some years. Your best move is always to switch.
Would you rather have a 1/3 chance of being right, or a 2/3 chance?
If you stick with your original choice, you have a 1/3 chance of being right.
If you switch, you now have a 2/3 chance, even though one of the other two items is gone.
Why? Because originally, the other two items had a 2/3 chance of one of them holding the prize. All the host did was to eliminate one item that wasn't. So you're *still* picking the 2/3 option, even thought there's only one locket there.
Stick to the original problem. Don't put it into a new one.
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*B*
Save Early, Save Often Save Before, Save After
Two-Star General, Spelling Soldiers
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Give 'em a hug one more time. It might be the last.
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