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The table below summarizes the preferred moves for each of the 15 possible opening rolls, as selected by detailed computer simulations, referred to as "rollouts". [3]The first column is the move that the rollout says gives the most equity (i.e. the average profit or loss that one would net, per game, by playing the position to conclusion an infinite number of times). [4]
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]
The total number of game scores listed for each pitcher are starts in which he reached 90 points or higher. The parenthetical totals represent the highest score in the pitcher's career, and the number of game scores equal to or greater than 100 (if any).
The player on-roll will bear off with 27/36 rolls or 75% of the time. If the game was played from that position 100 times the on-roll player would win ~75 games and their opponent would win ~25 for a net win of ~50 points per 100 games. The on-roll player's equity would be .5 and their opponent's would be −.5.
They often influence the chance to succeed in a skill or other tests by addition to a die roll or by determining the number of dice to be thrown. As a consequence, usually a higher number is better, and ranges can be as small as 1–5 (for numbers of dice) or as great as 1–100 (when adding to results of percentile dice).
For example, the commercially marketed game of Pocket Farkel differs in that three ´s are scored as 300 rather than 1000. [4] In addition, some players score one or more combinations of dice beyond the standard ones. [citation needed] Those variations include the following. A roll with no scoring dice, called a farkle (such as ) is scored as ...
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The game of Pig is played with a single six-sided die. Pig is a simple die game first described in print by John Scarne in 1945. [1] Players take turns to roll a single die as many times as they wish, adding all roll results to a running total, but losing their gained score for the turn if they roll a .