Quote:
Originally Posted by nomadking
You could have a million doors in the 1st round. Doesn't matter whether you pick the correct one or one of the 999,999 incorrect ones. The result is the same, you then get to pick from just 2 doors. Any of the 1m 1st round choices is "correct".
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Ok, let's play with a million boxes. That's 999,999 goats and a car.
You pick a box. The chance that you have picked the car is 1 in a million.
So the chance that the car is in one of the other boxes is 999,999 in a million.
The host now opens 999,998 boxes that he
knows contain a goat. So the chance that the car is in the one remaining box is 999,999 in a million.
So do you want to keep your original pick (1 in a million), or do you want to swap (999,999 in a million)? Do you like goats?