English Dictionary

Bertrand's paradox

固有名詞

(probability) A problem within the classical interpretation of probability theory, illustrating how the principle of indifference may not produce definite, well-defined results for probabilities if it is applied uncritically when the domain of possibilities is infinite.

日本語の意味

確率論の古典的解釈における問題で、無限に広がる可能性の中で無差別の原理を無批判に適用すると、確率の値が明確かつ定義されたものにならないことを示す例。

In introductory probability, Bertrand's paradox often surprises students by revealing that the principle of indifference can yield different probabilities depending on how 'random' is defined.

初歩の確率論では、ベルトランが指摘した逆説が、「ランダム」の定義次第で無差別の原理が異なる確率を生むことを明らかにし、学生を驚かせることが多い。

意味（1）

(probability) A problem within the classical interpretation of probability theory, illustrating how the principle of indifference may not produce definite, well-defined results for probabilities if it is applied uncritically when the domain of possibilities is infinite.

意味（2）

(economics) A hypothetical phenomenon where if the number of firms producing a product goes from one to two or more selling identical products with identical manufacturing costs, the price would be expected to decrease from the high price which one monopolistic firm would charge to a competitive at-cost price, if consumers choose which product to buy based solely on price and the firms try to undercut each other.