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Population and food supply; the current scare. 人口与粮食供应;当前的恐慌。
Pub Date : 1949-01-01
M K BENNETT
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引用次数: 0
America's mythical snakes. 美国神话中的蛇。
Pub Date : 1949-01-01
C B MOORE
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引用次数: 0
A survey of Japanese science. 日本科学调查。
Pub Date : 1949-01-01
H C KELLY
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引用次数: 0
New organic insecticides. 新型有机杀虫剂。
Pub Date : 1949-01-01
R C ROARK
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引用次数: 0
Some advances in chemotherapy. 化疗的一些进展。
Pub Date : 1949-01-01
M D EATON
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引用次数: 0
Biological problems of the ocean. 海洋的生物问题。
Pub Date : 1949-01-01
D MERRIMAN
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引用次数: 0
The Neanderthal controversy; 19. century version. 尼安德特人之争;19. 世纪版本。
Pub Date : 1948-12-01
J W GRUBER
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引用次数: 0
Probability, rarity, interest, and surprise. 概率,稀有,兴趣和惊喜。
Pub Date : 1948-12-01 DOI: 10.1542/peds.38.4.667
Warren Weaver
THE unusual is often interesting. Moreover, the frequency definition of probability, which is the one consciously or tacitly used in all applications to experience, makes it clear that an improbable event means precisely a rare event. Hence, an improbable event is often interesting. But is an improbable event always interesting? We shall see that is is not. If an event actually occurs, and if its probability, as reckoned before its occurrence, is very small, is the fact of its occurrence surprising? The answer is that it may be, or it may not be. Suppose one shuffles a pack of cards and deals off a single bridge hand of thirteen cards. The probability, as reckoned before the event, that this hand contain any thirteen specified cards is 1 divided by 635,013,559,600. Thus the probability of any one specified set of thirteen cards is, anyone would agree, very small. When one hand of thirteen cards is dealt in this way there are, of course, precisely 635,013,559,600 different hands that can appear. All these billions of hands are, furthermore, equally likely to occur; and one of them is absolutely certain to occur every time a hand is so dealt. Thus, although any one particular hand is an improbable event, and so a rare event, no one particular hand has any right to be called a surprising event. Any hand that occurs is simply one out of a number of exactly equally likely events, some one of which was bound to happen. There is no basis for being surprised at the one that did happen, for it was precisely as likely (or as unlikely, if you will) to have happened as any other particular one.
不寻常的事往往很有趣。此外,概率的频率定义(在所有应用中有意识或默认地用于经验)清楚地表明,不可能的事件恰恰意味着罕见的事件。因此,不可能发生的事情往往是有趣的。但是,不可能发生的事情总是有趣的吗?我们将看到事实并非如此。如果一件事确实发生了,而且在它发生之前估计的概率很小,那么它发生的事实令人惊讶吗?答案是可能是,也可能不是。假设一个人洗牌一副牌,发了一张13张牌的桥牌。事件发生前计算的这一手牌包含任意13张指定牌的概率是1除以635,013,559,600。因此,任何人都会同意,任何一组13张牌的概率都非常小。当13张牌的一手牌以这种方式发牌时,当然,精确地说,有635,013,559,600张不同的手牌可以出现。此外,所有这数十亿手都同样有可能出现;每次发牌时,其中一个绝对肯定会发生。因此,尽管任何一只特定的手牌都是不可能的事件,因此是罕见的事件,但没有任何一只特定的手牌有权被称为令人惊讶的事件。发生的任何一手牌都只是许多完全等可能事件中的一个,其中一些事件是注定要发生的。没有理由对已经发生的事情感到惊讶,因为它发生的可能性(或者不太可能,如果你愿意的话)与任何其他特定事件发生的可能性完全相同。
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引用次数: 78
On living in the biosphere. 关于生活在生物圈。
Pub Date : 1948-12-01
G E HUTCHINSON
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引用次数: 0
Probability, rarity, interest, and surprise. 概率,稀有,兴趣和惊喜。
Pub Date : 1948-12-01
W WEAVER
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引用次数: 0
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