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Jun 25, 2016 at 16:02 comment added user240643 $I$ is indicator-function $I((X_1,X_2,\dots)\in A)=I_A(X_1,X_2,\dots)$, i will edit it.
Jun 25, 2016 at 14:20 comment added R W To begin with, what does $I$ denote in that question?
Jun 24, 2016 at 17:13 comment added user240643 Thanks for the answer! 'fair coin tosses' is what the question comes from. In the end of my original questions I posted the link to a question of mine on Stackexchange. With this question here I wanted to clarify if Borel-Cantelli is applicable to prove something concerning fair coin tosses. Iosif Pinelis' example shows that this strategy won't work for my usual question. I would be glad if you could take a look at my question on Stackexchange (and probably say why that question is in general 'negativ' as well)! Thanks!
Jun 24, 2016 at 16:50 history answered R W CC BY-SA 3.0