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    Birthday problems

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    • RZ923R
      RZ923 M0★ M2★ M3★ M4★ M5
      last edited by RZ923

      Bob the 🐱’s bakery was a success!
      He cooperated with three big 🍰 companies - Po, Shen and Loh - to celebrate Professor Loh’s birthday.
      On June 18th, the three companies makes random # of cakes between 24 and 618. Every possible # of cakes have equal chance. Then they press letters on each one.
      Po company: 61.8% chance press P, 38.2% chance press O.
      Shen company: 6.2% chance press S, 93.8% chance press H, E or N.
      Loh company: 81.6% chance of press L, 18.4% chance press O or H.
      Then they choose the best cake on display. Each cake have the same chance of being on display. Bob the 🐱 take photos of the three displays and shuffles them into random order.
      What is the probability that the photos spell Professor Loh’s initials (PSL) in the same order?

      Very Interesting

      1 Reply Last reply Reply Quote 3
      • divinedolphinD
        divinedolphin M0★ M1★ M2★ M3★ M4★ M5★ M6★
        last edited by

        Oh wow these are hard! Happy early birthday Prof. Loh! Mine is two days after yours 🙂

        👕👕👕👕👕👕👕👕👕👕🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌

        sqwishyS 1 Reply Last reply Reply Quote 2
        • sqwishyS
          sqwishy M2 M3 M4★ @divinedolphin
          last edited by

          @divinedolphin An early happy birthday to you too!!! 🙂

          1 Reply Last reply Reply Quote 3
          • RZ923R
            RZ923 M0★ M2★ M3★ M4★ M5
            last edited by

            An early happy birthday!
            (To @po and @divinedolphin)

            Very Interesting

            1 Reply Last reply Reply Quote 2
            • RZ923R
              RZ923 M0★ M2★ M3★ M4★ M5
              last edited by

              It is Prof Loh’s birthday today!
              Hooray!
              🎂 🎉🎊
              4:19 PM in Victoria, 2:19 AM in Pittsborough. 18th June, 2020.

              Very Interesting

              1 Reply Last reply Reply Quote 3
              • divinedolphinD
                divinedolphin M0★ M1★ M2★ M3★ M4★ M5★ M6★
                last edited by

                Happy Birthday Prof. Loh!!!! 🎂 🎉

                👕👕👕👕👕👕👕👕👕👕🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌

                sqwishyS 1 Reply Last reply Reply Quote 2
                • sqwishyS
                  sqwishy M2 M3 M4★ @divinedolphin
                  last edited by

                  HAPPY BIRTHDAY PROF. LOH!!!! 😺 🍰 🎉

                  1 Reply Last reply Reply Quote 4
                  • Potato2017P
                    Potato2017 M5★
                    last edited by

                    😄 😄 😄

                    The best Potato
                    aops: Potato2017
                    yt: http://bit.ly/potatosubscribe
                    discord: Potato2017#1822 (it's tent#0001 now)
                    tetr.io: https://ch.tetr.io/u/potato2017
                    -Potato2017

                    1 Reply Last reply Reply Quote 1
                    • K
                      Kaden Xia M2
                      last edited by

                      Happy Birthday Po Shen Loh you now are going to do calculus and bunch of things like 🍰 : 🎉 Po Shen Loh you did a really good thing for like calculus and integrals!!

                      1 Reply Last reply Reply Quote 4
                      • K
                        Kaden Xia M2
                        last edited by

                        The Montgomery Blair Math Tournament or MBMT is a really good thing and Po Shen Loh the coach of the USA team for IMO will explain the problems!!

                        1 Reply Last reply Reply Quote 3

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