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单词 Binomial trial
释义

Binomial trial

英语百科

Bernoulli trial

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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更新时间:2025/6/20 9:58:30