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- You should switch from door C to door A.
- The easiest explanation: when you picked door C at first, you had a 33% chance of being right. Now that the host has revealed it's not door B, you have a ~66% chance of being right if you switch, compared with ~33% if you stay with door C.
- Khan Academy has a cool video about it here: https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:prob-comb/x9e81a4f98389efdf:dependent-events-precalc/v/monty-hall-problem
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