All Questions
Tagged with chess pr.probability
6 questions
-3
votes
1
answer
143
views
Count arrangements with pairs of attacking kings [closed]
I have a $1\times n$ chessboard and $2$ pairs of kings in it. Both components of each pair of kings must be adjacent in the chessboard, that is, they must be attacking.
Now, I want to calculate the ...
1
vote
2
answers
399
views
Sums Of Independent Random Variables: Pathological Behaviour
Background:
The result of a chess game between two players is a win ,a loss or a draw which are (usually) scored respectively $1$ point, $0$ point or $0.5$ point for the appropriate player. Team ...
7
votes
5
answers
974
views
Collisions between rooks taking random flights on an N by M chessboard
I randomly place $k$ rooks on an (arbitrarily sized) $N$ by $M$ chessboard. Until only one rook remains, for each of $P$ time intervals we move the pieces as follows:
(1) We choose one of the $k$ ...
2
votes
1
answer
360
views
A random variable in a game of knights and queens
Suppose that a game is played on an $n \times n$ board as follows. There are two players, Player 1 has (only) $Q$ queens and Player 2 has only $K$ knights. Suppose that $Q, K \leq n/3$. The game is ...
4
votes
3
answers
1k
views
Probability theory and measuring the true strength of chessplayers
If you wanted to measure the strength of, say, a chess player, the best way would involve knowing the true value of each position: then you could compute the frequency $W$ with which the player finds ...
4
votes
2
answers
2k
views
Elo Rating System Help with the Maths around number of matches
I'm creating a system that will allow people to rate images.
My idea is to use an Elo Rating system (http://en.wikipedia.org/wiki/Elo_rating_system) for each image and then use crowdsourcing to have ...