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  2. Mathematics of bookmaking - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_bookmaking

    In gambling parlance, making a book is the practice of laying bets on the various possible outcomes of a single event. The phrase originates from the practice of recording such wagers in a hard-bound ledger (the 'book') and gives the English language the term bookmaker for the person laying the bets and thus 'making the book'.

  3. Game complexity - Wikipedia

    en.wikipedia.org/wiki/Game_complexity

    Game-tree complexity of a game is the number of leaf nodes in the smallest full-width decision tree that establishes the value of the initial position. [1] A full-width tree includes all nodes at each depth. This is an estimate of the number of positions one would have to evaluate in a minimax search to determine the value of the initial position.

  4. Poker probability - Wikipedia

    en.wikipedia.org/wiki/Poker_probability

    The development of probability theory in the late 1400s was attributed to gambling; when playing a game with high stakes, players wanted to know what the chance of winning would be. In 1494, Fra Luca Pacioli released his work Summa de arithmetica, geometria, proportioni e proportionalita which was the first written text on probability.

  5. Gambling mathematics - Wikipedia

    en.wikipedia.org/wiki/Gambling_mathematics

    The mathematics of gambling is a collection of probability applications encountered in games of chance and can get included in game theory.From a mathematical point of view, the games of chance are experiments generating various types of aleatory events, and it is possible to calculate by using the properties of probability on a finite space of possibilities.

  6. Checkmate pattern - Wikipedia

    en.wikipedia.org/wiki/Checkmate_pattern

    Vuković’s mate is a mate involving a protected rook which delivers checkmate to the king at the edge of the board, while a knight covers the remaining escape squares of the king. The rook is usually protected with either the king or a pawn.

  7. Chess piece relative value - Wikipedia

    en.wikipedia.org/wiki/Chess_piece_relative_value

    Although the 1-3-3-5-9 system of point totals is the most commonly given, many other systems of valuing pieces have been proposed. Several systems treat the bishop as slightly more powerful than a knight. [19] [20] Note: Where a value for the king is given, this is used when considering piece development, its power in the endgame, etc.

  8. Tie-breaking in Swiss-system tournaments - Wikipedia

    en.wikipedia.org/wiki/Tie-breaking_in_Swiss...

    Swiss system tournaments, a type of group tournament common in chess and other board games, and in card games such as bridge, use various criteria to break ties between players who have the same total number of points after the last round. This is needed when prizes are indivisible, such as titles, trophies, or qualification for another tournament.

  9. Tsume shogi - Wikipedia

    en.wikipedia.org/wiki/Tsume_shogi

    Since mate by gold is a fundamental checkmate tactic in shogi, it is common for pieces to promote into a gold to deliver checkmate. [6] For instance, a silver defended by a pawn can mate at the head of a king but only if the pawn is promoted.