An Extended Problem to Bertrand’s Paradox

نویسندگان

  • Mostafa K. Ardakani
  • Shaun S. Wulff
چکیده

Bertrand’s paradox is a longstanding problem within the classical interpretation of probability theory. The solutions 1/2, 1/3, and 1/4 were proposed using three different approaches to model the problem. In this article, an extended problem, of which Bertrand’s paradox is a special case, is proposed and solved. For the special case, it is shown that the corresponding solution is 1/3. Moreover, the reasons of inconsistency are discussed and a proper modeling approach is determined by careful examination of the probability space.

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تاریخ انتشار 2014