If Monty always chooses the left most door that doesn’t have the car behind it, then, if he chooses, out of the doors you didn’t pick, the left one, then you should switch. If he chooses the right door you shouldn’t.
This is true. However, if you don’t know in advance if Monty has the rule:
‘open the leftmost door that doesn’t have a car behind it’
or
‘open the rightmost door that doesn’t have a car behind it’
Then even if you knew that Monty had one of those rules, then which door Monty opens doesn’t tell you anything (until after you find out the results of your choice).
There are 3 doors1, 2, 3You pick one of them.(1), (2), (3)If Monty always chooses the left most door that doesn’t have the car behind it, then, if he chooses, out of the doors you didn’t pick, the left one, then you should switch. If he chooses the right door you shouldn’t.This is true. However,if you don’t know in advance if Monty has the rule:‘open the leftmost door that doesn’t have a car behind it’
or
‘open the rightmost door that doesn’t have a car behind it’
Then even if you knew that Monty had one of those rules, then which door Monty opens doesn’t tell you anything (until after you find out the results of your choice).