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General / Re: Do you use house rules?
« on: October 06, 2022, 07:08:17 PM »
I guess this is now a reply to kothmann's review. (Just when can I really leave academia? )
Completely agree. In the meanwhile, when the game effectively becomes a 2-player game in a 7-player game, you'll need those 21 tiles in your and your teammate's share of 40 tiles. Even more difficult than getting those 21 tiles in your share of 70 tiles in a real 2-player game. Therefore, my original statement still holds.
combination(119,50)*combination(21,20) + combination(119,51)*combination(21,19) + combination(119,52)*combination(21,18) + combination(119,53)*combination(21,17) + combination(119,54)*combination(21,16)
= 7.7e38
(I'm using WolframAlpha's terminology, as that's what I used for the calculation.)
Divided it by 9.4e40, and you get < 0.01. That's still a very small probability.
I recognize that there are more than 5 CCCX tiles with pennants that your opponent will gladly add to your monster city if they think that'll make it difficult for you to complete it, especially if there is already a cathedral in the city. Here are the catches:
1. All these tiles need to appear relatively late in your opponent's 70-tile sequence.
2. You need at least another specific tile (cathedral) to be in your 70-tile sequence.
So some of combination(119,55)*combination(21,15) = 1.9e39 need to be discounted. I'm not sure how many, and this is when wave my hands and say that needs some computer simulations.
QuoteIt's easy to see that it's more difficult to achieve this 22-pennant feat as the number of players increases.In a multi-player game, “conspiracy” is how you win! This is the magic of multi-player Carcassonne! In particular, in a 7-player game, two players would likely be happy to join two giant pennant-filled cities in order to make the game effectively a 2-player game from then on.
Completely agree. In the meanwhile, when the game effectively becomes a 2-player game in a 7-player game, you'll need those 21 tiles in your and your teammate's share of 40 tiles. Even more difficult than getting those 21 tiles in your share of 70 tiles in a real 2-player game. Therefore, my original statement still holds.
If your opponent helps you with up to 5 tiles out of the 21 you need, there are this many ways:Quoteyour opponent does not help you build your monster city with a fragment containing pennants, ever. (Fair assumption, eh?)No. Even in a 2-player game, with I&C, you might gladly place a CCRR tile with a pennant in a way that adds to an opponent’s big city if: that city is not close to complete and contains a Cathedral; the road connects your single Inn to a long road on which you and your opponent both have one meeple (thus completing the road and scoring you all the points at 2/tile); and/or the tile connects farms in a way that is advantageous to you. More simply, you might repeatedly add CCCF and CCCR tiles with pennants to a city with a Cathedral if the opponent gets close to completing it.
combination(119,50)*combination(21,20) + combination(119,51)*combination(21,19) + combination(119,52)*combination(21,18) + combination(119,53)*combination(21,17) + combination(119,54)*combination(21,16)
= 7.7e38
(I'm using WolframAlpha's terminology, as that's what I used for the calculation.)
Divided it by 9.4e40, and you get < 0.01. That's still a very small probability.
I recognize that there are more than 5 CCCX tiles with pennants that your opponent will gladly add to your monster city if they think that'll make it difficult for you to complete it, especially if there is already a cathedral in the city. Here are the catches:
1. All these tiles need to appear relatively late in your opponent's 70-tile sequence.
2. You need at least another specific tile (cathedral) to be in your 70-tile sequence.
So some of combination(119,55)*combination(21,15) = 1.9e39 need to be discounted. I'm not sure how many, and this is when wave my hands and say that needs some computer simulations.
Who cares if it is a minor deviation!?We feel it is a minor deviation AND it makes the game more fun for us by lessening the work needed to count, so we happily adopted this one all the time. The other house rule we sometimes use, expanding the tower's range, is a large deviation, so I do like it that much. It was the "minor deviation" I wanted to defend when the nerd mode turned on.