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NO matter what happens, ur left with 2 doors- one right, one wrong. FLip a coin- Heads or Tails?? its 50-50, same situation different wording. The chances will have to change in the second choice because the situation that ur in will change.
I belive that the mistake Ertai is making is the same one that was made by whoever made this up. They try to recreate it, but dont try to prove what their saying with another example.
Heres What Will Happen:
Say u pick the right door. ur chances are 1 in 3.
When the quiz master eliminates one door, and u change or stay-u have 2 choices so ur chances are 50-50.
If you pick a wrong door, the other wrong door is eliminated so again you may stay or change. 2 choices- 50-50
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