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  • Probability question.

    We have a 12 person FIFA 11 tournament on Saturday.

    Alongside the main league where everyone plays everyone else is a doubles cup. The doubles partnerships will be random.

    ie. all 12 entrants will be put in a hat and drawn out with a random partner for the doubles cup.

    There is a particular combination of partners that we think will be particularly amusing. What is the actual probability those two will be drawn together? Each player should really have a one in 11 chance of playing with a specific partner right? So it's 1 in 11 is it? But what's the equation that proves it?
    Jon Miller: MikeH speaks the truth
    Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
    We've got both kinds

  • #2
    Write down conditional prob eqn for p(a drawn in a pair GIVEN b drawn in that pair). Now apply fact that draws are independent
    12-17-10 Mohamed Bouazizi NEVER FORGET
    Stadtluft Macht Frei
    Killing it is the new killing it
    Ultima Ratio Regum

    Comment


    • #3
      P(a|b) = P(a && b) / P(b)
      P(b) = 1-(11/12)*(10/11)
      P(a && b) = 2 * (1/12) *(1/11)
      12-17-10 Mohamed Bouazizi NEVER FORGET
      Stadtluft Macht Frei
      Killing it is the new killing it
      Ultima Ratio Regum

      Comment


      • #4
        Thank you!
        Jon Miller: MikeH speaks the truth
        Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
        We've got both kinds

        Comment


        • #5
          It's obvious when you see it.
          Jon Miller: MikeH speaks the truth
          Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
          We've got both kinds

          Comment


          • #6
            Liar
            "post reported"Winston, on the barricades for freedom of speech
            "I don't like laws all over the world. Doesn't mean I am going to do anything but post about it."Jon Miller

            Comment


            • #7
              I didn't actually go to any of our maths lectures, but I did read the book before the exam.
              Jon Miller: MikeH speaks the truth
              Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
              We've got both kinds

              Comment


              • #8
                I was going to post the solution but I figured I'd give KH a chance to see what he could come up with.
                "I have never killed a man, but I have read many obituaries with great pleasure." - Clarence Darrow
                "I didn't attend the funeral, but I sent a nice letter saying I approved of it." - Mark Twain

                Comment


                • #9
                  Oh wow so there are actually other math people on this forum? That's cool.

                  Comment


                  • #10
                    probability that mike has a man crush on one of the others and is hoping 4 some1 2 tell him the odds of getting matched up arent as bad as they seem?

                    Comment


                    • #11
                      If it was me, the probability would be 1 because I would rig the drawing.
                      APOSTOLNIK BEANIE BERET BICORNE BIRETTA BOATER BONNET BOWLER CAP CAPOTAIN CHADOR COIF CORONET CROWN DO-RAG FEDORA FEZ GALERO HAIRNET HAT HEADSCARF HELMET HENNIN HIJAB HOOD KABUTO KERCHIEF KOLPIK KUFI MITRE MORTARBOARD PERUKE PICKELHAUBE SKULLCAP SOMBRERO SHTREIMEL STAHLHELM STETSON TIARA TOQUE TOUPEE TRICORN TRILBY TURBAN VISOR WIG YARMULKE ZUCCHETTO

                      Comment


                      • #12
                        Originally posted by Agent Sox View Post
                        Oh wow so there are actually other math people on this forum? That's cool.
                        24....
                        12-17-10 Mohamed Bouazizi NEVER FORGET
                        Stadtluft Macht Frei
                        Killing it is the new killing it
                        Ultima Ratio Regum

                        Comment


                        • #13
                          I thought it was 500?
                          Jon Miller: MikeH speaks the truth
                          Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
                          We've got both kinds

                          Comment


                          • #14
                            Own goal
                            12-17-10 Mohamed Bouazizi NEVER FORGET
                            Stadtluft Macht Frei
                            Killing it is the new killing it
                            Ultima Ratio Regum

                            Comment


                            • #15
                              I must have missed something then.
                              Jon Miller: MikeH speaks the truth
                              Jon Miller: MikeH is a shockingly revolting dolt and a masturbatory urine-reeking sideshow freak whose word is as valuable as an aging cow paddy.
                              We've got both kinds

                              Comment

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