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?
 
Hello, I'm joining this forum to ask two questions which have nagged me for some time. They both are presumed obvious, yet don't make sense to me. Nobody will explain their positions, which is...uh...aka science. I also have a thread for the other question. But this one involves probability, known as the Monty Hall Problem. Please see any number of YouTube videos on this for an explanation, I'll leave it to them to explain it. I question the predicate of all those who answer this...
I'm taking a look at intuitionistic propositional logic (IPL). Basically it exclude Double Negation Elimination (DNE) from the set of axiom schemas replacing it with Ex falso quodlibet: ⊥ → p for any proposition p (including both atomic and composite propositions). In IPL, for instance, the Law of Excluded Middle (LEM) p ∨ ¬p is no longer a theorem. My question: aside from the logic formal perspective, is IPL supposed to model/address some specific "kind of world" ? Thanks.