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-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 ...
Cardstdani's user avatar
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 ...
Ian Calvert's user avatar
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 $k$ ...
T.R.'s user avatar
  • 133
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 ...
Stanley Yao Xiao's user avatar
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 ...
David Feldman's user avatar
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 ...
Barry's user avatar
  • 151