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Math Help - Another tree diagram question

  1. #1
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    Another tree diagram question

    I need to draw one for all the possible sequences of answers for three multiple choice questions, each with four possible responses.

    Would I start off by making branches for each question? I'm confused about how I would incorporate branches for all the possible responses.

    Thanks!
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  2. #2
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    Quote Originally Posted by Jen48 View Post
    I need to draw one for all the possible sequences of answers for three multiple choice questions, each with four possible responses.

    Would I start off by making branches for each question? I'm confused about how I would incorporate branches for all the possible responses.

    Thanks!
    Draw four lines off from the beginning and from each of those lines draw another four lines and then from those lines draw 4 lines from each. There should be 4^3 = 64 total outcomes.

    Normally you'd just fill in what you need to know though. For example if you want to know the chance of answer A being right twice and B being right the second one then you could do two branches, A and Not A where P(A') = 1-P(A) assuming the outcomes are mutually exclusive
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  3. #3
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    Quote Originally Posted by e^(i*pi) View Post
    Draw four lines off from the beginning and from each of those lines draw another four lines and then from those lines draw 4 lines from each. There should be 4^3 = 64 total outcomes.

    Normally you'd just fill in what you need to know though. For example if you want to know the chance of answer A being right twice and B being right the second one then you could do two branches, A and Not A where P(A') = 1-P(A) assuming the outcomes are mutually exclusive
    Thanks!

    So I would label it like this?
    Q1:
    Response 1
    Response 2
    Response 3
    Response 4

    I'm confused about how I would label the four branches coming off each of the responses though.

    Also, I just realized that the problem says show all the possible sequences and not outcomes so does this change what I need to do? Or do I still show the entire tree diagram?

    Thanks again!
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  4. #4
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by Jen48 View Post
    Thanks!

    So I would label it like this?
    Q1:
    Response 1
    Response 2
    Response 3
    Response 4

    I'm confused about how I would label the four branches coming off each of the responses though.

    Also, I just realized that the problem says show all the possible sequences and not outcomes so does this change what I need to do? Or do I still show the entire tree diagram?

    Thanks again!
    A sequence is simply a path along a tree diagram so you should draw the whole thing.

    For the responses you should draw four lines off each original response. For example if you get response 1 draw

    Response 1
    Response 2
    Response 3
    Response 4

    For responses 2,3 and 4 do the the same.
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  5. #5
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    Quote Originally Posted by e^(i*pi) View Post
    A sequence is simply a path along a tree diagram so you should draw the whole thing.

    For the responses you should draw four lines off each original response. For example if you get response 1 draw

    Response 1
    Response 2
    Response 3
    Response 4

    For responses 2,3 and 4 do the the same.
    Okay I got it now. Thanks a lot!
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