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词汇 Bernoulli trials
分类 英语词汇 英语翻译词典
释义

Bernoulli trials

中文百科

伯努利试验 Bernoulli trial

（重定向自Bernoulli trials）

伯努利试验（Bernoulli trial）是只有两种可能结果的单次随机试验，即对于一个随机变量X而言，

Pr[X=1]\;=\;p
Pr[X=0]\;=\;1-p

本试验是由雅各布·白努利（德语：Jakob I. Bernoulli，1654年12月27日－1705年8月16日）所提出。

英语百科

Bernoulli trial 伯努利试验

（重定向自Bernoulli trials）
Graphs of probability P of not observing independent events each of probability p after n Bernoulli trials vs n p for various p. 3 examples are shown: Blue arrow: Throwing a 6-sided die 6 times gives 33.5% chance that 6 (or any other given number) never turns up; it can be observed that as n increases, the probability of a 1/n-chance event never appearing after n tries rapidly converges to 1/e. Grey arrow: To get 50-50 chance of throwing a Yahtzee (5 cubic dice all showing the same number) requires 0.69 × 1296 ~ 898 throws. Green arrow: Drawing a card from a deck of playing cards without jokers 100 (1.92 × 52) times with replacement gives 85.7% chance of drawing the ace of spades at least once.

In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted. It is named after Jacob Bernoulli, a Swiss mathematician of the 17th century.
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