Monty Hall with 100 doors

There are 100 doors, exactly one hiding a prize. You pick one door; the host, who knows where the prize is, then opens 98 of the other doors, all empty, leaving your door and one other closed. You switch to the other closed door. What is your probability of winning? Give your answer as a decimal (to 2 decimals).

Show hints (2)+
  1. What is the chance your first of 100 guesses was right?
  2. The host's choices are not random - all leftover probability lands on one door.

Answer

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0.99

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