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The New Coffee Room

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  2. General Discussion
  3. Puzzle time: the baseball fan

Puzzle time: the baseball fan

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  • jon-nycJ Offline
    jon-nycJ Offline
    jon-nyc
    wrote on last edited by
    #9

    I thought I clarified in my second post.

    "You never know what worse luck your bad luck has saved you from."
    -Cormac McCarthy

    1 Reply Last reply
    • KlausK Offline
      KlausK Offline
      Klaus
      wrote on last edited by Klaus
      #10

      Doesn't really clarify it. Do you mean: Does the news improve the odds that your team will win at least 4 out of the 7 games?

      1 Reply Last reply
      • jon-nycJ Offline
        jon-nycJ Offline
        jon-nyc
        wrote on last edited by
        #11

        Yes.

        "You never know what worse luck your bad luck has saved you from."
        -Cormac McCarthy

        1 Reply Last reply
        • KlausK Offline
          KlausK Offline
          Klaus
          wrote on last edited by Klaus
          #12

          The odds that the news improves the odds is less than 60%, Bayesianistically speaking.

          1 Reply Last reply
          • jon-nycJ Offline
            jon-nycJ Offline
            jon-nyc
            wrote on last edited by
            #13

            I think the odds that you’re odd are even higher.

            "You never know what worse luck your bad luck has saved you from."
            -Cormac McCarthy

            1 Reply Last reply
            • KlausK Offline
              KlausK Offline
              Klaus
              wrote on last edited by
              #14

              That's odd.

              1 Reply Last reply
              • KlausK Offline
                KlausK Offline
                Klaus
                wrote on last edited by
                #15

                Isn't this just yet another comparison of two "probability of >=k heads in n throws of a biased coin p"?

                1 Reply Last reply
                • jon-nycJ Offline
                  jon-nycJ Offline
                  jon-nyc
                  wrote on last edited by jon-nyc
                  #16

                  You know what's funny?

                  My kid's old math circle mailed this question out Sunday. I have nobody to ask any clarifying questions of, they send out hints Tuesday and Thursday and an answer Saturday. But somehow I managed.

                  I think there's a skill called 'questionology' that I'm apparently better at than you and Ax.

                  "You never know what worse luck your bad luck has saved you from."
                  -Cormac McCarthy

                  KlausK 1 Reply Last reply
                  • taiwan_girlT Offline
                    taiwan_girlT Offline
                    taiwan_girl
                    wrote on last edited by
                    #17

                    You guys should become a comedy troupe!!! 😂 😂

                    1 Reply Last reply
                    • jon-nycJ jon-nyc

                      You know what's funny?

                      My kid's old math circle mailed this question out Sunday. I have nobody to ask any clarifying questions of, they send out hints Tuesday and Thursday and an answer Saturday. But somehow I managed.

                      I think there's a skill called 'questionology' that I'm apparently better at than you and Ax.

                      KlausK Offline
                      KlausK Offline
                      Klaus
                      wrote on last edited by Klaus
                      #18

                      @jon-nyc said in Puzzle time: the baseball fan:

                      I think there's a skill called 'questionology' that I'm apparently better at than you and Ax.

                      The difference is that you know you have nobody to ask for clarification, whereas for us its a small investment to ask a clarifying question compared to investing valuable brain time for questionology. You are not better; you are just in a situation with less options 😉

                      1 Reply Last reply
                      • KlausK Offline
                        KlausK Offline
                        Klaus
                        wrote on last edited by
                        #19

                        He shouldn't be happy. Probability of winning goes down from 0.29 to 0.179.

                        18c9cc91-79f0-4618-a88a-5bdd8c101455-image.png

                        44d17b5d-d6f4-4a86-a005-bb23d8990470-image.png

                        1 Reply Last reply
                        • jon-nycJ Offline
                          jon-nycJ Offline
                          jon-nyc
                          wrote on last edited by
                          #20

                          You’re comparing the time before the first game to the time after,

                          Should be the time before the camping trip to the time after.

                          "You never know what worse luck your bad luck has saved you from."
                          -Cormac McCarthy

                          KlausK 1 Reply Last reply
                          • HoraceH Offline
                            HoraceH Offline
                            Horace
                            wrote on last edited by
                            #21

                            It mostly depends on whether Tom Brady is the pitcher.

                            Education is extremely important.

                            1 Reply Last reply
                            • jon-nycJ jon-nyc

                              You’re comparing the time before the first game to the time after,

                              Should be the time before the camping trip to the time after.

                              KlausK Offline
                              KlausK Offline
                              Klaus
                              wrote on last edited by
                              #22

                              @jon-nyc said in Puzzle time: the baseball fan:

                              You’re comparing the time before the first game to the time after,

                              Should be the time before the camping trip to the time after.

                              Oh, you are right.

                              Looks like the probabilities are identical, then: both are 0.1792.

                              1 Reply Last reply
                              • jon-nycJ Offline
                                jon-nycJ Offline
                                jon-nyc
                                wrote on last edited by jon-nyc
                                #23

                                Yeah which is why I posted it.

                                It’s counter intuitive.

                                Your team is down by a game, with up to 6 left to play. You come back and your team is still down by a game but only 4 left.

                                Seems like you’re in a worse position, less opportunity to catch up. But your odds are unchanged.

                                "You never know what worse luck your bad luck has saved you from."
                                -Cormac McCarthy

                                HoraceH 1 Reply Last reply
                                • jon-nycJ jon-nyc

                                  Yeah which is why I posted it.

                                  It’s counter intuitive.

                                  Your team is down by a game, with up to 6 left to play. You come back and your team is still down by a game but only 4 left.

                                  Seems like you’re in a worse position, less opportunity to catch up. But your odds are unchanged.

                                  HoraceH Offline
                                  HoraceH Offline
                                  Horace
                                  wrote on last edited by
                                  #24

                                  @jon-nyc said in Puzzle time: the baseball fan:

                                  Yeah which is why I posted it.

                                  It’s counter intuitive.

                                  Your team is down by a game, with up to 6 left to play. You come back and your team is still down by a game but only 4 left.

                                  Seems like you’re in a worse position, less opportunity to catch up. But you’re odds are unchanged.

                                  Your.

                                  Education is extremely important.

                                  KlausK 1 Reply Last reply
                                  • HoraceH Horace

                                    @jon-nyc said in Puzzle time: the baseball fan:

                                    Yeah which is why I posted it.

                                    It’s counter intuitive.

                                    Your team is down by a game, with up to 6 left to play. You come back and your team is still down by a game but only 4 left.

                                    Seems like you’re in a worse position, less opportunity to catch up. But you’re odds are unchanged.

                                    Your.

                                    KlausK Offline
                                    KlausK Offline
                                    Klaus
                                    wrote on last edited by
                                    #25

                                    @horace said in Puzzle time: the baseball fan:

                                    @jon-nyc said in Puzzle time: the baseball fan:

                                    Yeah which is why I posted it.

                                    It’s counter intuitive.

                                    Your team is down by a game, with up to 6 left to play. You come back and your team is still down by a game but only 4 left.

                                    Seems like you’re in a worse position, less opportunity to catch up. But your odds are unchanged.

                                    You're.

                                    I don't think so.

                                    HoraceH 1 Reply Last reply
                                    • KlausK Klaus

                                      @horace said in Puzzle time: the baseball fan:

                                      @jon-nyc said in Puzzle time: the baseball fan:

                                      Yeah which is why I posted it.

                                      It’s counter intuitive.

                                      Your team is down by a game, with up to 6 left to play. You come back and your team is still down by a game but only 4 left.

                                      Seems like you’re in a worse position, less opportunity to catch up. But your odds are unchanged.

                                      You're.

                                      I don't think so.

                                      HoraceH Offline
                                      HoraceH Offline
                                      Horace
                                      wrote on last edited by
                                      #26

                                      @klaus said in Puzzle time: the baseball fan:

                                      @horace said in Puzzle time: the baseball fan:

                                      @jon-nyc said in Puzzle time: the baseball fan:

                                      Yeah which is why I posted it.

                                      It’s counter intuitive.

                                      Your team is down by a game, with up to 6 left to play. You come back and your team is still down by a game but only 4 left.

                                      Seems like you’re in a worse position, less opportunity to catch up. But your odds are unchanged.

                                      You're.

                                      I like pink pokemon.

                                      We know.

                                      Education is extremely important.

                                      1 Reply Last reply
                                      • jon-nycJ Offline
                                        jon-nycJ Offline
                                        jon-nyc
                                        wrote on last edited by
                                        #27

                                        You guys are fast. I noticed the error the second I hit post and changed it within 15 seconds.

                                        "You never know what worse luck your bad luck has saved you from."
                                        -Cormac McCarthy

                                        HoraceH 1 Reply Last reply
                                        • jon-nycJ jon-nyc

                                          You guys are fast. I noticed the error the second I hit post and changed it within 15 seconds.

                                          HoraceH Offline
                                          HoraceH Offline
                                          Horace
                                          wrote on last edited by
                                          #28

                                          @jon-nyc said in Puzzle time: the baseball fan:

                                          You guys are fast. I noticed the error the second I hit post and changed it within 15 seconds.

                                          You should talk to my wife.

                                          Education is extremely important.

                                          1 Reply Last reply
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