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@teome
@eamonnog yes I agree. It's a different interest in the outcomes. All outcomes are equally likely but this tells us nothing useful and is not really worth analysing further unless you are picking lottery tickets, flipping coins or trying to disprove the randomness of a system. In many other cases the order and time of each event is less important and what is really of interest is the frequency of an event.
Just different cases and we are talking about probability in general. Once the probability of a system is know then one of the really interesting measures for physicists is the entropy,ie the disorder of a system,the inverse of how much is known.
Not arguing Help, just more broad applications