Sample Space & Combinations/Permutations












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This is the questions - "List the sample space for three individuals chosen @ random to vote either Democrat or Republican. List the distinct combinations and permutations"



These are what I got for my answers but I don't think my sample space is correct since it's asking for sample space for three individuals chosen, could some of you smart fellows help me out please?



Sample Space: {D,R}



Permutations: {D,D,D}, {R,R,R}, {D,R,D}, {D,D,R}, {R,D,D}, {R,R,D}, {D,R,R}, {R,D,R}



Combinations: {D,D,D}, {D,D,R}, {D,R,R}, {R,R,R}



What did I do wrong fellows? I feel something is amiss.










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  • $begingroup$
    The permutations should be listed as ordered triples rather than sets.
    $endgroup$
    – N. F. Taussig
    May 28 '18 at 13:01
















0












$begingroup$


This is the questions - "List the sample space for three individuals chosen @ random to vote either Democrat or Republican. List the distinct combinations and permutations"



These are what I got for my answers but I don't think my sample space is correct since it's asking for sample space for three individuals chosen, could some of you smart fellows help me out please?



Sample Space: {D,R}



Permutations: {D,D,D}, {R,R,R}, {D,R,D}, {D,D,R}, {R,D,D}, {R,R,D}, {D,R,R}, {R,D,R}



Combinations: {D,D,D}, {D,D,R}, {D,R,R}, {R,R,R}



What did I do wrong fellows? I feel something is amiss.










share|cite|improve this question









$endgroup$












  • $begingroup$
    The permutations should be listed as ordered triples rather than sets.
    $endgroup$
    – N. F. Taussig
    May 28 '18 at 13:01














0












0








0


1



$begingroup$


This is the questions - "List the sample space for three individuals chosen @ random to vote either Democrat or Republican. List the distinct combinations and permutations"



These are what I got for my answers but I don't think my sample space is correct since it's asking for sample space for three individuals chosen, could some of you smart fellows help me out please?



Sample Space: {D,R}



Permutations: {D,D,D}, {R,R,R}, {D,R,D}, {D,D,R}, {R,D,D}, {R,R,D}, {D,R,R}, {R,D,R}



Combinations: {D,D,D}, {D,D,R}, {D,R,R}, {R,R,R}



What did I do wrong fellows? I feel something is amiss.










share|cite|improve this question









$endgroup$




This is the questions - "List the sample space for three individuals chosen @ random to vote either Democrat or Republican. List the distinct combinations and permutations"



These are what I got for my answers but I don't think my sample space is correct since it's asking for sample space for three individuals chosen, could some of you smart fellows help me out please?



Sample Space: {D,R}



Permutations: {D,D,D}, {R,R,R}, {D,R,D}, {D,D,R}, {R,D,D}, {R,R,D}, {D,R,R}, {R,D,R}



Combinations: {D,D,D}, {D,D,R}, {D,R,R}, {R,R,R}



What did I do wrong fellows? I feel something is amiss.







probability statistics






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asked Nov 2 '15 at 19:20









BrandonBrandon

196




196












  • $begingroup$
    The permutations should be listed as ordered triples rather than sets.
    $endgroup$
    – N. F. Taussig
    May 28 '18 at 13:01


















  • $begingroup$
    The permutations should be listed as ordered triples rather than sets.
    $endgroup$
    – N. F. Taussig
    May 28 '18 at 13:01
















$begingroup$
The permutations should be listed as ordered triples rather than sets.
$endgroup$
– N. F. Taussig
May 28 '18 at 13:01




$begingroup$
The permutations should be listed as ordered triples rather than sets.
$endgroup$
– N. F. Taussig
May 28 '18 at 13:01










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Sample space is set of all possible outcomes of an experiment. Your sample space would have been right if the experiment have performed only on one person. For three people under experiment each have possibility to say D or R so your sample space will be having 2x2x2=8 possible outcomes. In that way Permutations is sample space. But if you just wanted to count the vote in possible outcome then combination will be the sample space. (0 votes to R in first possible outcome, 1 in second and so on..) Hope this explains your doubt.






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    $begingroup$

    Sample space is set of all possible outcomes of an experiment. Your sample space would have been right if the experiment have performed only on one person. For three people under experiment each have possibility to say D or R so your sample space will be having 2x2x2=8 possible outcomes. In that way Permutations is sample space. But if you just wanted to count the vote in possible outcome then combination will be the sample space. (0 votes to R in first possible outcome, 1 in second and so on..) Hope this explains your doubt.






    share|cite|improve this answer









    $endgroup$


















      0












      $begingroup$

      Sample space is set of all possible outcomes of an experiment. Your sample space would have been right if the experiment have performed only on one person. For three people under experiment each have possibility to say D or R so your sample space will be having 2x2x2=8 possible outcomes. In that way Permutations is sample space. But if you just wanted to count the vote in possible outcome then combination will be the sample space. (0 votes to R in first possible outcome, 1 in second and so on..) Hope this explains your doubt.






      share|cite|improve this answer









      $endgroup$
















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        0





        $begingroup$

        Sample space is set of all possible outcomes of an experiment. Your sample space would have been right if the experiment have performed only on one person. For three people under experiment each have possibility to say D or R so your sample space will be having 2x2x2=8 possible outcomes. In that way Permutations is sample space. But if you just wanted to count the vote in possible outcome then combination will be the sample space. (0 votes to R in first possible outcome, 1 in second and so on..) Hope this explains your doubt.






        share|cite|improve this answer









        $endgroup$



        Sample space is set of all possible outcomes of an experiment. Your sample space would have been right if the experiment have performed only on one person. For three people under experiment each have possibility to say D or R so your sample space will be having 2x2x2=8 possible outcomes. In that way Permutations is sample space. But if you just wanted to count the vote in possible outcome then combination will be the sample space. (0 votes to R in first possible outcome, 1 in second and so on..) Hope this explains your doubt.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Apr 12 '16 at 7:25









        TabTab

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