MHB Four statistical questions need detailed answer , THx

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The discussion centers on a request for help with statistical questions related to a tic-tac-toe board. The initial response emphasizes that the participants will not complete the homework for the requester. A calculation is provided, indicating that there are 504 possible configurations for placing three "X"s on the board. The conversation then poses specific questions about the configurations of "X"s in vertical columns, horizontal rows, and diagonals. The focus remains on understanding the statistical arrangements within the game.
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So. Why don't you tell us what you need help with? We aren't going to do your homework for you.

-Dan
 
(29) A "tic-tac-toe board" has 9 positions. There are 9 places to put the first "X", then 8 places to put the next, and then 7 places to put the last: there are total of 9(8)(7)= 504 possible configurations for 3 "X"s on the board. How many of those have all three "X"s in the same vertical column? How many have all three in the same horizontal row? How many diagonal are there?
 

Thread 'A variant of the Monty Hall problem'

There is a nice little variation of the problem. The host says, after you have chosen the door, that you can change your guess, but to sweeten the deal, he says you can choose the two other doors, if you wish. This proposition is a no brainer, however before you are quick enough to accept it, the host opens one of the two doors and it is empty. In this version you really want to change your pick, but at the same time ask yourself is the host impartial and does that change anything. The host...
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