My intent was not to suggest that math is “really’ broken in the Bertrand Paradox, but it did make me wonder what is going on. Enter LC. I built a simulation of your description where each of two points on a circle are randomly chosen. This kind of chord generation is consistently producing a ratio of about ½ which, of course, disagrees with 2 of the methods in the BP, but is close to one of them. I don’t mean to promote controversy here . . . I am just having fun playing with this and wondering what is indeed going on??? Thanks for playing, Thomas.
Roger > On Sep 5, 2020, at 12:24 AM, Thomas von Fintel via use-livecode > <use-livecode@lists.runrev.com> wrote: > > Having had no contact with Bertrand Paradox except reading the Wikipedia > entries in English and German, my impression is that this is not a case of > broken math but a case of an ill-defined problem. > Saying that a chord of a circle is chosen at random seems to imply that all > possible chords are chosen with the same probability. My interpretation would > be that all points on the circle have the same probability and also every > combination of two points have the same probability of being chosen. Not all > methods proposed by Bertrand fulfil this requirement. > My interpretation may be wrong. But the fact that you need an interpretation > shows that a problem like this needs more clarification. > > Thomas > >> Am 05.09.2020 um 04:40 schrieb Roger Guay via use-livecode >> <use-livecode@lists.runrev.com>: >> >> Bertrand Paradox > > > _______________________________________________ > use-livecode mailing list > use-livecode@lists.runrev.com > Please visit this url to subscribe, unsubscribe and manage your subscription > preferences: > http://lists.runrev.com/mailman/listinfo/use-livecode _______________________________________________ use-livecode mailing list use-livecode@lists.runrev.com Please visit this url to subscribe, unsubscribe and manage your subscription preferences: http://lists.runrev.com/mailman/listinfo/use-livecode
