The article was kept 20:43, 18 May 2008.
Notified Wikipedia:WikiProject Mathematics, User:Rick Block, User:Antaeus Feldspar, User:Glopk, User:Father Goose
Concerns:
- Chardish ( talk) 06:09, 28 March 2008 (UTC) reply
Instead of one door being opened and shown to be a losing door, an equivalent action is to combine the two unchosen doors into one since the player cannot, and will not, choose the opened door. The player therefore has the choice of either sticking with the original choice of door with a 1/3 chance of winning the car, or choosing the sum of the contents of the two other doors with a 2/3 chance. In this case, what should be ignored is the opening of the door. The player actually chooses between the originally picked door and the other two — opening one is simply a distraction. There is only one car and it does not move. The original choice divides the possible locations of the car between the one door the player picks with a 1/3 chance and the other two with a 2/3 chance. It is already known that at least one of the two unpicked doors contains a goat. Revealing the goat therefore gives the player no additional information about the originally chosen door; it does not change the 2/3 probability that the car is still in the block of two doors. |
Closing: The article, if anything, is improved since the last FAR. Rick has worked to deal with the comments on the review. We don't have explicit comments, so this is a default keep. Marskell ( talk) 20:25, 18 May 2008 (UTC) reply
The article was kept 20:43, 18 May 2008.
Notified Wikipedia:WikiProject Mathematics, User:Rick Block, User:Antaeus Feldspar, User:Glopk, User:Father Goose
Concerns:
- Chardish ( talk) 06:09, 28 March 2008 (UTC) reply
Instead of one door being opened and shown to be a losing door, an equivalent action is to combine the two unchosen doors into one since the player cannot, and will not, choose the opened door. The player therefore has the choice of either sticking with the original choice of door with a 1/3 chance of winning the car, or choosing the sum of the contents of the two other doors with a 2/3 chance. In this case, what should be ignored is the opening of the door. The player actually chooses between the originally picked door and the other two — opening one is simply a distraction. There is only one car and it does not move. The original choice divides the possible locations of the car between the one door the player picks with a 1/3 chance and the other two with a 2/3 chance. It is already known that at least one of the two unpicked doors contains a goat. Revealing the goat therefore gives the player no additional information about the originally chosen door; it does not change the 2/3 probability that the car is still in the block of two doors. |
Closing: The article, if anything, is improved since the last FAR. Rick has worked to deal with the comments on the review. We don't have explicit comments, so this is a default keep. Marskell ( talk) 20:25, 18 May 2008 (UTC) reply