Sample Space & Combinations/Permutations












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












$begingroup$


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






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










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










1 Answer
1






active

oldest

votes


















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









$endgroup$













    Your Answer





    StackExchange.ifUsing("editor", function () {
    return StackExchange.using("mathjaxEditing", function () {
    StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
    StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
    });
    });
    }, "mathjax-editing");

    StackExchange.ready(function() {
    var channelOptions = {
    tags: "".split(" "),
    id: "69"
    };
    initTagRenderer("".split(" "), "".split(" "), channelOptions);

    StackExchange.using("externalEditor", function() {
    // Have to fire editor after snippets, if snippets enabled
    if (StackExchange.settings.snippets.snippetsEnabled) {
    StackExchange.using("snippets", function() {
    createEditor();
    });
    }
    else {
    createEditor();
    }
    });

    function createEditor() {
    StackExchange.prepareEditor({
    heartbeatType: 'answer',
    autoActivateHeartbeat: false,
    convertImagesToLinks: true,
    noModals: true,
    showLowRepImageUploadWarning: true,
    reputationToPostImages: 10,
    bindNavPrevention: true,
    postfix: "",
    imageUploader: {
    brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
    contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
    allowUrls: true
    },
    noCode: true, onDemand: true,
    discardSelector: ".discard-answer"
    ,immediatelyShowMarkdownHelp:true
    });


    }
    });














    draft saved

    draft discarded


















    StackExchange.ready(
    function () {
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f1509910%2fsample-space-combinations-permutations%23new-answer', 'question_page');
    }
    );

    Post as a guest















    Required, but never shown

























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    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









    $endgroup$


















      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









      $endgroup$
















        0












        0








        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

        1417




        1417






























            draft saved

            draft discarded




















































            Thanks for contributing an answer to Mathematics Stack Exchange!


            • Please be sure to answer the question. Provide details and share your research!

            But avoid



            • Asking for help, clarification, or responding to other answers.

            • Making statements based on opinion; back them up with references or personal experience.


            Use MathJax to format equations. MathJax reference.


            To learn more, see our tips on writing great answers.




            draft saved


            draft discarded














            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f1509910%2fsample-space-combinations-permutations%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown





















































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown

































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown







            Popular posts from this blog

            Bundesstraße 106

            Ida-Boy-Ed-Garten

            Le Mesnil-Réaume