- #1
Simon 6
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This may mystify some.
Imagine two Monty Hall games taking place simultaneously on different sides of the world. Each game is completely independent and follows the same Monty Hall rules.
Imagine you're a contestant in one of them.
There are three doors - two of them empty, one has a prize.
The host knows what's behind each door.
You pick a door.
The host eliminates an empty door from the remaining two.
You are asked whether you'd like to stick or swap.
You're aware of the familiar solution - that there is a 2/3 chance that the door you originally chose is empty and that the other has the prize.
Before you make your final decision, a phone call is made. You are about to learn whether the contestant on the other side of the world originally chose the same as you or the opposite.
Depending on what you learn, does this knowledge in any way affect the odds of your game
Imagine two Monty Hall games taking place simultaneously on different sides of the world. Each game is completely independent and follows the same Monty Hall rules.
Imagine you're a contestant in one of them.
There are three doors - two of them empty, one has a prize.
The host knows what's behind each door.
You pick a door.
The host eliminates an empty door from the remaining two.
You are asked whether you'd like to stick or swap.
You're aware of the familiar solution - that there is a 2/3 chance that the door you originally chose is empty and that the other has the prize.
Before you make your final decision, a phone call is made. You are about to learn whether the contestant on the other side of the world originally chose the same as you or the opposite.
Depending on what you learn, does this knowledge in any way affect the odds of your game