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The Dice-Sørensen coefficient (see below for other names) is a statistic used to gauge the similarity of two samples. It was independently developed by the botanists Lee Raymond Dice [ 1 ] and Thorvald Sørensen, [ 2 ] who published in 1945 and 1948 respectively.
Defense-Independent Component ERA (DICE) is a 21st-century variation on Component ERA, one of an increasing number of baseball sabermetrics that fall under the umbrella of defense independent pitching statistics. DICE was created by Clay Dreslough in 2001. [1] The formula for Defense-Independent Component ERA (DICE) is:
The DICE framework, or Duration, Integrity, Commitment, and Effort framework is a tool for evaluating projects, [1] predicting project outcomes, and allocating resources strategically to maximize delivery of a program or portfolio of initiatives, aiming for consistency in evaluating projects with subjective inputs.
A is the number of dice to be rolled (usually omitted if 1). X is the number of faces of each die. The faces are numbered from 1 to X, with the assumption that the die generates a random integer in that range, with uniform probability. For example, if a game calls for a roll of d4 or 1d4, it means "roll one 4-sided die."
If two dice were thrown and their values added, the possible sums would not have equal probability and so the distribution of sums of two dice rolls is not uniform. Although it is common to consider discrete uniform distributions over a contiguous range of integers, such as in this six-sided die example, one can define discrete uniform ...
Some ten-sided dice (often called 'Percentile Dice') are sold in sets of two where one is numbered from 0 to 9 and the other from 00 to 90 in increments of 10, thus making it impossible to misinterpret which one is the tens and which the units die. Ten-sided dice may also be marked 1 to 10 when a random number in this range is desirable.
While the creators of DICE, FIP and similar statistics all suggest they are "defense independent", others have pointed out that their formulas involve (IP). IP is a statistical measure of how many outs were made while a pitcher was pitching.
The probabilities of rolling several numbers using two dice. Probability is the branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur.