not the same...

来源: dynamic 于 2008-05-02 12:05:29 [] [旧帖] [给我悄悄话] 阅读数 : (396 bytes)
回答: 几何概率题 由 说了就走 于 2008-05-01 21:58:53

If you consider the probability of forming an acute triangle by choosing 3 random points on a rectangle, the answer will be different from choosing from a unit circle.

The original question is not well-defined in the sense that there is no uniform distribution over the 2D plane. Every probability space has measure 1, but in the 2D plane it will imply the density of every point is 0.

所有跟帖： 

• Sorry, I should have said more clearly... -Commentate- ♂ 给 Commentate 发送悄悄话 (480 bytes) () 05/02/2008 postreply 12:40:41

• 不同意 -说了就走- ♂ 给 说了就走 发送悄悄话 (131 bytes) () 05/05/2008 postreply 16:47:07

• 回复：not the same... -Commentate- ♂ 给 Commentate 发送悄悄话 (215 bytes) () 05/02/2008 postreply 12:57:44

• 回复：回复：not the same... -dynamic- ♂ 给 dynamic 发送悄悄话 (1652 bytes) () 05/03/2008 postreply 00:10:37

• 说得很有道理。 -Commentate- ♂ 给 Commentate 发送悄悄话 (117 bytes) () 05/05/2008 postreply 07:29:52

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