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The game is parameterized by two integers n > k. The game-board is the set {1,...,n}. The winning-sets are all the arithmetic progressions of length k. In a Maker-Breaker game variant, the first player (Maker) wins by occupying a k-length arithmetic progression, otherwise the second player (Breaker) wins. The game is also called the van der ...
It is played by two players, called Maker and Breaker, who alternately take previously untaken elements. In a Maker-Breaker game, Maker wins if he manages to hold all the elements of a winning-set, while Breaker wins if he manages to prevent this, i.e. to hold at least one element in each winning-set. Draws are not possible.
Odds and evens is a simple game of chance and hand game, involving two people simultaneously revealing a number of fingers and winning or losing depending on whether they are odd or even, or alternatively involving one person picking up coins or other small objects and hiding them in their closed hand, while another player guesses whether they have an odd or even number.
The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2. The Monty Hall problem is a brain teaser , in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal and named after its original host, Monty Hall .
The game can be played with a pair of dice instead of one. This variation is the same as Pig, except: Two standard dice are rolled. If neither shows a , their sum is added to the turn total. If a single is rolled, the player scores nothing and the turn ends. If two 's are rolled, the player's entire score is lost, and the turn ends.
Games are played by two or more people. The first player to roll the cubes sets a WFF as a Goal. Each player then tries to construct (with whatever is available) a complete logical proof of the goal. The Solution to the goal is the Premises which they started their proof with, and the Rules they used to get to the Goal.