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You are in a game show! There are 10 closed doors, 0 leads to nothing and 1 leads to an expensive sports car. You are allowed to pick a door and earn the sports car if it’s behind the door you choose. You choose a door and the host tells you he was preauthorized to make your chance of winning better! You have two options.
Option 1: Get the right to open two doors and win if the car is behind either of the ones you open.
Option 2: Have the host open 4 empty doors [None of them the one you had choose] and then get the right to switch if you want.
If you want to win the car, what should you do?

  1.   You should be indifferent
  2.   Go with option 2, then don’t switch
  3.   Go with option 2 and switch
  4.   Go with option 1
asked in Probability by Veteran (13.3k points)   | 104 views

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