re: Let's Find Out How Smart You Baws Are

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both remaining shells have the exact same 2/3 probability of being wrong.

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At the beginning of the game, yes you have a 2/3 chance of picking wrong. Once the dealer reveals an empty shell and you switch your choice, it becomes an entirely new event with new probabilities.

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there will ALWAYS be (at least) one shell remaining that is wrong. the remaining one is not necessarily always right.

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If you choose a wrong shell at the beginning, then you will always switch to the money shell. There’s no other possibility.

As you said, there’s a 2/3 chance of picking a wrong shell at first. This means there’s a 2/3 chance of getting the money if you switch.