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seen May 15 '13 at 8:47

comment Quantify the gain of information of a new information.
I see, this is very interesting. I think that answers my question. But, do you know if it is possible to generalize self information to a more complicated case. For instance, what if my new information is itself a probability. For instance, if someone rolls a dice, and tells me it is a 5 with 0.3 prob and a 6 with 0.7 prob... Maybe I should ask another question about it....