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Thread: Probability and Stochastic Processes

  1. #1 Probability and Stochastic Processes 
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    I have 5 questions. I want to answer them with quality and good sentences.

    Question-a)
    Are events A and A^c mutually exclusive? Given two mutually exclusive events A and B, is it always true that B=A^c ?

    Question-b)
    Is it reasonable to use traditional definition to find the probability that a particular face of unfair die will show up?

    Question-c)
    Can we use the three axioms of probability alone to find the probability of an event?

    Question-d) Are P(AB) and P(A,B) different notations of the same thing?

    Question-e) Under what condition for the set of events A1,A2 ,Ö..,An can total probability theorem be applied to event B?


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  3. #2  
    Forum Professor river_rat's Avatar
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    Q1: Mutually exclusive typically means that the event sets are disjoint. So yes to first part and no to second.
    Q2: Don't understand question?
    Q3: No (think about it)
    Q4: Depends on what A and B are
    Q5: Pairwise disjointness?


    As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong.
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  4. #3  
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    no other information for all of questions
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