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单词 probability
释义

probability

The probability of an event A, denoted by Pr(A), is a measure of the possibility of the event occurring as the result of an experiment. For any event A, 0 ≤ Pr(A) ≤ 1. If A never occurs, then Pr(A) = 0; if A always occurs, then Pr(A) = 1. If an experiment is repeated n times and the event A occurs m times, then the limit of m/n as n → ∞ is equal to Pr(A).

If the sample space S is finite and the possible outcomes are all equally likely, then the probability of the event A equals |A|/|S| (where | | denotes cardinality). The probability that a randomly selected element from a finite population belongs to a certain category is equal to the proportion of the population belonging to that category.

The probability that a discrete random variable X takes the value xi is denoted by Pr(X = xi) (see probability mass function). The probability that a continuous random variable X takes a value less than or equal to x is denoted by Pr(X ≤ x) (see cumulative distribution function).

The term ‘probability' also refers generally to the theory of probability and stochastic processes and is intimately linked with statistics.

See also conditional probability, laws of large numbers, prior probability, probability density function, probability space.

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更新时间:2025/4/29 6:23:15