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**1. Homework Statement**

You have 3 doors, with 2/3 chance of being wrong.

A host opens a door, and there is no prize.

You are now left with two doors. I would like an explanation why the car is still equally likely to be behind any three doors still after the host opens a door.

I have a hard time that Paul Erdos could not logically come to this conclusion as well. Something is off about this problem

**2. Homework Equations**

**3. The Attempt at a Solution**