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I Can you calculate probability with infinite sets?

  1. Aug 11, 2017 #1
    Suppose set A is defined as the even integers and set B is defined as for every even integer there are two odd integers, like so: {2,3,3,4,5,5,6,7,7 .... }

    Can you calculate that the probability of choosing an odd number is 66%?
     
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  3. Aug 11, 2017 #2

    Orodruin

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    Not without an appropriate probability distribution.
     
  4. Aug 11, 2017 #3
    Don't know what you mean.
     
  5. Aug 11, 2017 #4

    Orodruin

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    In order to give a probability for something to happen you need to specify the probability distribution for the possible outcomes.
     
  6. Aug 15, 2017 #5

    Zafa Pi

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    Then you should not have used the Intermediate classification for your thread. There is no natural probabilistic method for selecting a member from a countably infinite set.
    If you choose uniformly from {2,3,3',4,5,5', ... 10^20) then the probability of selecting an odd is very close to 2/3. The uniform distribution is natural for a finite set, but there is no such for the infinite case.
     
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