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help with homework

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  • B Brakanjan

    Hi Could you guys check if my homework is correct: Q A box (A) contains 8 apples and 4 oranges Another box (B) containes 10 apples and 2 oranges A fruit is picked from a random box, and found to be an apple. what is the chance of this apple comming from box A. Use Bayes theorem. scroll down for my answer A: 8/12 * 1/2 ---------------------- 8/12 * 1/2 + 10/12 * 1/2 = 0.444

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    brianwelsch
    wrote on last edited by
    #5

    42 BW CP Member Homepages


    "Miraculous you call it babe? You ain't seen nothing yet.
    They got Pepsi in the Andes. They got McDonalds in Tibet"

    B 1 Reply Last reply
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    • B Brakanjan

      Hi Could you guys check if my homework is correct: Q A box (A) contains 8 apples and 4 oranges Another box (B) containes 10 apples and 2 oranges A fruit is picked from a random box, and found to be an apple. what is the chance of this apple comming from box A. Use Bayes theorem. scroll down for my answer A: 8/12 * 1/2 ---------------------- 8/12 * 1/2 + 10/12 * 1/2 = 0.444

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      Weiye Chen
      wrote on last edited by
      #6

      I think there are no teachers here. :doh: Weiye Chen When pursuing your dreams, don't forget to enjoy your life...

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      • B Brakanjan

        Hi Could you guys check if my homework is correct: Q A box (A) contains 8 apples and 4 oranges Another box (B) containes 10 apples and 2 oranges A fruit is picked from a random box, and found to be an apple. what is the chance of this apple comming from box A. Use Bayes theorem. scroll down for my answer A: 8/12 * 1/2 ---------------------- 8/12 * 1/2 + 10/12 * 1/2 = 0.444

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        Navin
        wrote on last edited by
        #7

        It depends. You have to take into accoun the Heisenburg uncertainty principle. You can know the location of the object, you can known whether it is an apple or an orange, but you can't know both at the same time. :-D Remember, even if you win the rat race, you're still a rat.

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        • N Navin

          It depends. You have to take into accoun the Heisenburg uncertainty principle. You can know the location of the object, you can known whether it is an apple or an orange, but you can't know both at the same time. :-D Remember, even if you win the rat race, you're still a rat.

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          brianwelsch
          wrote on last edited by
          #8

          Not to mention the possibility that you pick up an apple masquerading as an orange. Those fruit can be wile, you know. BW CP Member Homepages


          "Miraculous you call it babe? You ain't seen nothing yet.
          They got Pepsi in the Andes. They got McDonalds in Tibet"

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          • B Brakanjan

            Hi Could you guys check if my homework is correct: Q A box (A) contains 8 apples and 4 oranges Another box (B) containes 10 apples and 2 oranges A fruit is picked from a random box, and found to be an apple. what is the chance of this apple comming from box A. Use Bayes theorem. scroll down for my answer A: 8/12 * 1/2 ---------------------- 8/12 * 1/2 + 10/12 * 1/2 = 0.444

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            Daniel Wilson
            wrote on last edited by
            #9

            You're right. I didn't go through and calculate .444 but the equation above it is correct. Out of curiosity how might you calculate this without using Bayes theorem? Saying "use Bayes theorem" is kinda redundant... or at least it is to me as I can't think of another way to approach it.

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            • D Daniel Wilson

              You're right. I didn't go through and calculate .444 but the equation above it is correct. Out of curiosity how might you calculate this without using Bayes theorem? Saying "use Bayes theorem" is kinda redundant... or at least it is to me as I can't think of another way to approach it.

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              Brakanjan
              wrote on last edited by
              #10

              Daniel Wilson wrote: Saying "use Bayes theorem" is kinda redundant just a helpful hint, I suppose. tx:)

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              • B brianwelsch

                Not to mention the possibility that you pick up an apple masquerading as an orange. Those fruit can be wile, you know. BW CP Member Homepages


                "Miraculous you call it babe? You ain't seen nothing yet.
                They got Pepsi in the Andes. They got McDonalds in Tibet"

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                Neville Franks
                wrote on last edited by
                #11

                Or you may have a rotten apple.:-D Neville Franks, Author of ED for Windows www.getsoft.com and coming soon: Surfulater www.surfulater.com

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                • D Daniel Wilson

                  You're right. I didn't go through and calculate .444 but the equation above it is correct. Out of curiosity how might you calculate this without using Bayes theorem? Saying "use Bayes theorem" is kinda redundant... or at least it is to me as I can't think of another way to approach it.

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                  Daniel Turini
                  wrote on last edited by
                  #12

                  Daniel Wilson wrote: or at least it is to me as I can't think of another way to approach it. There's always the Monte Carlo approach... :-D Perl combines all the worst aspects of C and Lisp: a billion different sublanguages in one monolithic executable. It combines the power of C with the readability of PostScript. -- Jamie Zawinski

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                  • D Daniel Wilson

                    You're right. I didn't go through and calculate .444 but the equation above it is correct. Out of curiosity how might you calculate this without using Bayes theorem? Saying "use Bayes theorem" is kinda redundant... or at least it is to me as I can't think of another way to approach it.

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                    Andy Brummer
                    wrote on last edited by
                    #13

                    There is always brute force. Calculate all posibilities and just count apples and oranges. (or boxes in this case.) My goal is to look at code like a chessmaster looks at a chessboard to see positions and possibilites beyond lines and characters.

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                    • B Brakanjan

                      Hi Could you guys check if my homework is correct: Q A box (A) contains 8 apples and 4 oranges Another box (B) containes 10 apples and 2 oranges A fruit is picked from a random box, and found to be an apple. what is the chance of this apple comming from box A. Use Bayes theorem. scroll down for my answer A: 8/12 * 1/2 ---------------------- 8/12 * 1/2 + 10/12 * 1/2 = 0.444

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                      tidge
                      wrote on last edited by
                      #14

                      The true answer is that there is no apple.

                      1 Reply Last reply
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                      • B brianwelsch

                        42 BW CP Member Homepages


                        "Miraculous you call it babe? You ain't seen nothing yet.
                        They got Pepsi in the Andes. They got McDonalds in Tibet"

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                        B Offline
                        Brian Delahunty
                        wrote on last edited by
                        #15

                        I just saw this thread now and I was about to answer with that. :-) Regards, Brian Dela :-) http://www.briandela.com IE 6 required.
                        http://www.briandela.com/pictures Now with a pictures section :-D
                        http://www.briandela.com/rss/newsrss.xml RSS Feed

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                        • A Andy Brummer

                          There is always brute force. Calculate all posibilities and just count apples and oranges. (or boxes in this case.) My goal is to look at code like a chessmaster looks at a chessboard to see positions and possibilites beyond lines and characters.

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                          Lost User
                          wrote on last edited by
                          #16

                          andy brummer wrote: My goal is to look at code like a chessmaster looks at a chessboard to see positions and possibilites beyond lines and characters. ...and wait for the computer (and illiterate users...) beat you at the game :) My article on a reference-counted smart pointer that supports polymorphic objects and raw pointers

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                          • B Brakanjan

                            Hi Could you guys check if my homework is correct: Q A box (A) contains 8 apples and 4 oranges Another box (B) containes 10 apples and 2 oranges A fruit is picked from a random box, and found to be an apple. what is the chance of this apple comming from box A. Use Bayes theorem. scroll down for my answer A: 8/12 * 1/2 ---------------------- 8/12 * 1/2 + 10/12 * 1/2 = 0.444

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                            leppie
                            wrote on last edited by
                            #17

                            You cant compare oranges to apples! top secret

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                            • A Andy Brummer

                              There is always brute force. Calculate all posibilities and just count apples and oranges. (or boxes in this case.) My goal is to look at code like a chessmaster looks at a chessboard to see positions and possibilites beyond lines and characters.

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                              Daniel Turini
                              wrote on last edited by
                              #18

                              andy brummer wrote: There is always brute force. Calculate all posibilities and just count apples and oranges. (or boxes in this case.) You can make it sound more impressive calling it "the Monte Carlo statistical modelling" (I'm serious) :) Perl combines all the worst aspects of C and Lisp: a billion different sublanguages in one monolithic executable. It combines the power of C with the readability of PostScript. -- Jamie Zawinski

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                              • A Andy Brummer

                                There is always brute force. Calculate all posibilities and just count apples and oranges. (or boxes in this case.) My goal is to look at code like a chessmaster looks at a chessboard to see positions and possibilites beyond lines and characters.

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                                Daniel Wilson
                                wrote on last edited by
                                #19

                                In this case they are one in the same since there isn't a bias towards one basket. 8/12 * 1/2 24 ---------------------- * ----- 8/12 * 1/2 + 10/12 * 1/2 24 = 8 --- 18 = .444

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                                • B Brakanjan

                                  Daniel Wilson wrote: Saying "use Bayes theorem" is kinda redundant just a helpful hint, I suppose. tx:)

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                                  Daniel Wilson
                                  wrote on last edited by
                                  #20

                                  I guess technically we are both wrong since .444 isn't the "right" answer but instead .4444444 with 4 repeating ad infinitum but I can figure out how to put a line above the 4. ;P

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                                  • D Daniel Turini

                                    andy brummer wrote: There is always brute force. Calculate all posibilities and just count apples and oranges. (or boxes in this case.) You can make it sound more impressive calling it "the Monte Carlo statistical modelling" (I'm serious) :) Perl combines all the worst aspects of C and Lisp: a billion different sublanguages in one monolithic executable. It combines the power of C with the readability of PostScript. -- Jamie Zawinski

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                                    Daniel Wilson
                                    wrote on last edited by
                                    #21

                                    Again I am amazed by the power of marketing. :-D

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                                    • B Brian Delahunty

                                      I just saw this thread now and I was about to answer with that. :-) Regards, Brian Dela :-) http://www.briandela.com IE 6 required.
                                      http://www.briandela.com/pictures Now with a pictures section :-D
                                      http://www.briandela.com/rss/newsrss.xml RSS Feed

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                                      B Offline
                                      brianwelsch
                                      wrote on last edited by
                                      #22

                                      Great names think alike. BW CP Member Homepages


                                      "Miraculous you call it babe? You ain't seen nothing yet.
                                      They got Pepsi in the Andes. They got McDonalds in Tibet"

                                      1 Reply Last reply
                                      0
                                      • D Daniel Turini

                                        andy brummer wrote: There is always brute force. Calculate all posibilities and just count apples and oranges. (or boxes in this case.) You can make it sound more impressive calling it "the Monte Carlo statistical modelling" (I'm serious) :) Perl combines all the worst aspects of C and Lisp: a billion different sublanguages in one monolithic executable. It combines the power of C with the readability of PostScript. -- Jamie Zawinski

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                                        Andy Brummer
                                        wrote on last edited by
                                        #23

                                        That's the lazy version. Monte Carlo only calculates some of the results and then assumes all the rest are the same. It's great using statistics to calculate statistical results. There's a 20% chance that there is a 30% chance that it was the second box. My goal is to look at code like a chessmaster looks at a chessboard to see positions and possibilites beyond lines and characters.

                                        1 Reply Last reply
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                                        • B Brakanjan

                                          Hi Could you guys check if my homework is correct: Q A box (A) contains 8 apples and 4 oranges Another box (B) containes 10 apples and 2 oranges A fruit is picked from a random box, and found to be an apple. what is the chance of this apple comming from box A. Use Bayes theorem. scroll down for my answer A: 8/12 * 1/2 ---------------------- 8/12 * 1/2 + 10/12 * 1/2 = 0.444

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                                          Orhun Birsoy
                                          wrote on last edited by
                                          #24

                                          0.5 It is either from box A or not.;P

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