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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 ...
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In game theory, "guess 2 / 3 of the average" is a game where players simultaneously select a real number between 0 and 100, inclusive. The winner of the game is the player(s) who select a number closest to 2 / 3 of the average of numbers chosen by all players.
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 .
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.
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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.
Pick a random number k between one and the number of unstruck numbers remaining (inclusive). Counting from the low end, strike out the kth number not yet struck out, and write it down at the end of a separate list. Repeat from step 2 until all the numbers have been struck out.
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