In the example of guess a specified number between 1 and 20 (both inclusive), what is the sample space?How to...

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In the example of guess a specified number between 1 and 20 (both inclusive), what is the sample space?


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$begingroup$


This post is discussing Bayesian reasoning in the context of guess a specified number between 1 and 20 (both inclusive).




Consider the following example: I’m thinking of a number between 1 and 20 (both inclusive), and I want
you to try and guess the number.



In this case, the hypothesis space is the set of values that observations can take, H = {1, . . . , 20}. If N = 4
values were chosen from this space, the resulting data set might look like the following:




D1 = {14, 10, 2, 18}
D2 = {4, 2, 16, 8}
D3 = {5, 11, 2, 17}
D4 = {3, 7, 2, 4}


The post defines a hypothesis space as H = {1, . . . , 20}, regarding which, what is the sample space?



Are D1, D2, D3, D4 4 different sample spaces?










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    2














    $begingroup$


    This post is discussing Bayesian reasoning in the context of guess a specified number between 1 and 20 (both inclusive).




    Consider the following example: I’m thinking of a number between 1 and 20 (both inclusive), and I want
    you to try and guess the number.



    In this case, the hypothesis space is the set of values that observations can take, H = {1, . . . , 20}. If N = 4
    values were chosen from this space, the resulting data set might look like the following:




    D1 = {14, 10, 2, 18}
    D2 = {4, 2, 16, 8}
    D3 = {5, 11, 2, 17}
    D4 = {3, 7, 2, 4}


    The post defines a hypothesis space as H = {1, . . . , 20}, regarding which, what is the sample space?



    Are D1, D2, D3, D4 4 different sample spaces?










    share|cite|improve this question







    New contributor



    baojieqh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$


















      2












      2








      2





      $begingroup$


      This post is discussing Bayesian reasoning in the context of guess a specified number between 1 and 20 (both inclusive).




      Consider the following example: I’m thinking of a number between 1 and 20 (both inclusive), and I want
      you to try and guess the number.



      In this case, the hypothesis space is the set of values that observations can take, H = {1, . . . , 20}. If N = 4
      values were chosen from this space, the resulting data set might look like the following:




      D1 = {14, 10, 2, 18}
      D2 = {4, 2, 16, 8}
      D3 = {5, 11, 2, 17}
      D4 = {3, 7, 2, 4}


      The post defines a hypothesis space as H = {1, . . . , 20}, regarding which, what is the sample space?



      Are D1, D2, D3, D4 4 different sample spaces?










      share|cite|improve this question







      New contributor



      baojieqh is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      This post is discussing Bayesian reasoning in the context of guess a specified number between 1 and 20 (both inclusive).




      Consider the following example: I’m thinking of a number between 1 and 20 (both inclusive), and I want
      you to try and guess the number.



      In this case, the hypothesis space is the set of values that observations can take, H = {1, . . . , 20}. If N = 4
      values were chosen from this space, the resulting data set might look like the following:




      D1 = {14, 10, 2, 18}
      D2 = {4, 2, 16, 8}
      D3 = {5, 11, 2, 17}
      D4 = {3, 7, 2, 4}


      The post defines a hypothesis space as H = {1, . . . , 20}, regarding which, what is the sample space?



      Are D1, D2, D3, D4 4 different sample spaces?







      machine-learning bayesian






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      asked 10 hours ago









      baojieqhbaojieqh

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          $begingroup$

          The sample space of an experiment is the set of all possible outcomes of that experiment.



          For example, if you toss a die two times, the sample space of this experiment would be $$ Omega = { (1, 1), (1, 2), (1, 3), ..., (1, 6), (2, 1), (2, 2), ..., (6, 1), (6, 2), ... (6, 6) } $$



          In the example with guessing the numbers, the experiment is to choose 4 numbers out of the 20 numbers possible, so the sample space would consist of all the combinations of 4 numbers from 1 to 20. The size of the sample space would be:



          $$ | Omega | = {20 choose 4} $$






          share|cite|improve this answer









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            $begingroup$

            The sample space of an experiment is the set of all possible outcomes of that experiment.



            For example, if you toss a die two times, the sample space of this experiment would be $$ Omega = { (1, 1), (1, 2), (1, 3), ..., (1, 6), (2, 1), (2, 2), ..., (6, 1), (6, 2), ... (6, 6) } $$



            In the example with guessing the numbers, the experiment is to choose 4 numbers out of the 20 numbers possible, so the sample space would consist of all the combinations of 4 numbers from 1 to 20. The size of the sample space would be:



            $$ | Omega | = {20 choose 4} $$






            share|cite|improve this answer









            New contributor



            Andreea M is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.





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              5
















              $begingroup$

              The sample space of an experiment is the set of all possible outcomes of that experiment.



              For example, if you toss a die two times, the sample space of this experiment would be $$ Omega = { (1, 1), (1, 2), (1, 3), ..., (1, 6), (2, 1), (2, 2), ..., (6, 1), (6, 2), ... (6, 6) } $$



              In the example with guessing the numbers, the experiment is to choose 4 numbers out of the 20 numbers possible, so the sample space would consist of all the combinations of 4 numbers from 1 to 20. The size of the sample space would be:



              $$ | Omega | = {20 choose 4} $$






              share|cite|improve this answer









              New contributor



              Andreea M is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
              Check out our Code of Conduct.





              $endgroup$


















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                5







                $begingroup$

                The sample space of an experiment is the set of all possible outcomes of that experiment.



                For example, if you toss a die two times, the sample space of this experiment would be $$ Omega = { (1, 1), (1, 2), (1, 3), ..., (1, 6), (2, 1), (2, 2), ..., (6, 1), (6, 2), ... (6, 6) } $$



                In the example with guessing the numbers, the experiment is to choose 4 numbers out of the 20 numbers possible, so the sample space would consist of all the combinations of 4 numbers from 1 to 20. The size of the sample space would be:



                $$ | Omega | = {20 choose 4} $$






                share|cite|improve this answer









                New contributor



                Andreea M is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.





                $endgroup$



                The sample space of an experiment is the set of all possible outcomes of that experiment.



                For example, if you toss a die two times, the sample space of this experiment would be $$ Omega = { (1, 1), (1, 2), (1, 3), ..., (1, 6), (2, 1), (2, 2), ..., (6, 1), (6, 2), ... (6, 6) } $$



                In the example with guessing the numbers, the experiment is to choose 4 numbers out of the 20 numbers possible, so the sample space would consist of all the combinations of 4 numbers from 1 to 20. The size of the sample space would be:



                $$ | Omega | = {20 choose 4} $$







                share|cite|improve this answer









                New contributor



                Andreea M is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.








                share|cite|improve this answer




                share|cite|improve this answer






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                answered 10 hours ago









                Andreea MAndreea M

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