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.)
posted on 12/05/2005 8:04:55 AM PST
by Doctor Stochastic
(Vegetabilisch = chaotisch ist der Charakter der Modernen. - Friedrich Schlegel)
To: Doctor Stochastic
Yes, thanks. I should have said "repeated independent trials."
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