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[50] [13] [49] The conditional probability of winning by switching is 1/3 / 1/3 + 1/6 , which is 2 / 3 . [2] The conditional probability table below shows how 300 cases, in all of which the player initially chooses door 1, would be split up, on average, according to the location of the car and the choice of door to open by the host.
Number Scrabble (also known as Pick15 [1] [2] [3] or 3 to 15 [4]) is a mathematical game where players take turns to select numbers from 1 to 9 without repeating any numbers previously used, and the first player with a sum of exactly 15 using any three of their number selections wins the game.
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. [1]
In 2014, it was decided to introduce the current system, where each driver gets to choose a permanent number. [3] Drivers were initially allowed to choose any number from 2 through 99; number 1 is reserved for the World Drivers' Champion.
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The Fireball number may then be used by the player to replace any one digit in any of the Pick games. For instance, if the player selects 1-2-3 in the Pick 3 game, and the number actually drawn is 1-2-4, but the Fireball is a 3, the player may replace the 4 with a 3 to create a winning combination.
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The game "21" is played as a misère game with any number of players who take turns saying a number. The first player says "1" and each player in turn increases the number by 1, 2, or 3, but may not exceed 21; the player forced to say "21" loses. This can be modeled as a subtraction game with a heap of 21 − n objects. The winning strategy for ...