Monty Hall question, but varied. I haven’t seen the option that no matter what you have a 40% chance overall to win. You always pick 1 of 3 doors, then 1 is discarded & you pick 1 of 2. So don’t you always have a 2/5 chance of being right no matter what?
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Another way of thinking of it: Monty will never open the correct door. If you’ve picked the correct door (1/3 of the cases) he can open either of the others; if you’ve picked the wrong door (which you have done 2/3 of the time), he’s forced to open the only remaining wrong door, and you should switch.
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