Free Republic
Browse · Search
News/Activism
Topics · Post Article

To: TheGhostOfTomPaine
More precisely, if the probability of an event is more than zero, it will occur with probability approaching one as the number of repeated trials increases without limit.

You need to add, "If the events are independent."

This is one of the Borel-Cantelli lemmas. (Wikipedia's entry is correct here; I checked.)

126 posted on 12/05/2005 8:04:55 AM PST by Doctor Stochastic (Vegetabilisch = chaotisch ist der Charakter der Modernen. - Friedrich Schlegel)
[ Post Reply | Private Reply | To 113 | View Replies ]


To: Doctor Stochastic

Yes, thanks. I should have said "repeated independent trials."


197 posted on 12/05/2005 10:25:15 AM PST by TheGhostOfTomPaine
[ Post Reply | Private Reply | To 126 | View Replies ]

Free Republic
Browse · Search
News/Activism
Topics · Post Article


FreeRepublic, LLC, PO BOX 9771, FRESNO, CA 93794
FreeRepublic.com is powered by software copyright 2000-2008 John Robinson