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ANSWER - Balls In A Jar !!!

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  • ANSWER - Balls In A Jar !!!

    Now that I got your attention, here is a probability puzzle that requires you to weigh all the possibilities and pick the most likely outcome.

    You're walking down a street, when you see some people gambling on the roadside.
    The dealer says: "There are 10 black balls and 10 white balls in this jar.
    You are blindfolded and you randomly pick 10 balls.
    If 5 of the balls you picked are black and the other 5 are white, you lose $2.
    Otherwise you win $1."

    Is the gamble fair?


  • #2
    Re: Balls In A Jar !!!

    You've got BALLS for posting this,'W/M' :o ;D! ~J/W.

    Comment


    • #3
      Re: Balls In A Jar !!!

      I'm terrible at these things - that's why I don't gamble.

      Dan

      Comment


      • #4
        Re: Balls In A Jar !!!

        Originally posted by White Monster
        Now that I got your attention, here is a probability puzzle that requires you to weigh all the possibilities and pick the most likely outcome.

        You're walking down a street, when you see some people gambling on the roadside.
        The dealer says: "There are 10 black balls and 10 white balls in this jar.
        You are blindfolded and you randomly pick 10 balls.
        If 5 of the balls you picked are black and the other 5 are white, you lose $2.
        Otherwise you win $1."

        Is the gamble fair?

        I'm going to say it's not a fair bet because you have a 50/50 shot at winning but you can only win $1 but lose $2.
        I R Bob
        You can't drink all day unless you start in the morning!
        2007 LH, 2008 LH, 2009 LH, 2010 LH, 2011 LH, 2012 DNF/BLOW'D UP, 2013 LH, 2014 LH

        Comment


        • #5
          Re: Balls In A Jar !!!

          Seems like the odds are in your favor. Only 1 way to lose. Several ways to win.

          The only problem I have is touching someones balls
          Cognizant Dissident

          Comment


          • #6
            Re: Balls In A Jar !!!

            Originally posted by White Monster

            Is the gamble fair?
            That depends solely on the neighborhood you're in and what kinda piece dealer is carrying...

            ;D
            www.BigBlockMopar.com

            Comment


            • #7
              Re: Balls In A Jar !!!

              what other color balls are in the jar? ;D

              Comment


              • #8
                Re: Balls In A Jar !!!

                Didn't Butters do something with a blindfold and balls...and got in big trouble with his dad?

                My fabulous web page

                "If it don't go, chrome it!" --Stroker McGurk

                Comment


                • #9
                  Re: Balls In A Jar !!!

                  yes...poor Butters....so misunderstood
                  If you can leave two black stripes from the exit of one corner to the braking zone of the next, you have enough horsepower. - Mark Donohue

                  Comment


                  • #10
                    Re: Balls In A Jar !!!

                    Originally posted by White Monster
                    Now that I got your attention, here is a probability puzzle that requires you to weigh all the possibilities and pick the most likely outcome.

                    You're walking down a street, when you see some people gambling on the roadside.
                    The dealer says: "There are 10 black balls and 10 white balls in this jar.
                    You are blindfolded and you randomly pick 10 balls.
                    If 5 of the balls you picked are black and the other 5 are white, you lose $2.
                    Otherwise you win $1."

                    Is the gamble fair?

                    Yes
                    Michael from Hampton Roads

                    Comment


                    • #11
                      Re: Balls In A Jar !!!

                      Originally posted by mlcraven
                      Yes
                      Lots of comics on this site (admittedly funny) .... and one serious answer (although incorrect - sorry Michael).
                      :D

                      Anyhow, here is a hint;
                      "You know that, in most gambles, the dealer wins more than he loses.
                      If not, why does he hold the gamble ?"


                      Does anyone know how to calculate the mathematical propabilities for this puzzle ?

                      Comment


                      • #12
                        Re: Balls In A Jar !!!

                        aren't the odds 50/50?

                        so for it to be fair the payout would need to equal the loss.

                        Comment


                        • #13
                          Re: Balls In A Jar !!!

                          The odds are favorable for the player and against the dealer, as it's more likely to draw an unequal number of black and white balls than it is to draw exactly 5 blacks and 5 whites each time.


                          20 balls in a jar. 10 draws at 50/50 chance each time you pick either a black or white ball.
                          But the odds change as more of each color is picked out of the jar.
                          And it's monday which means my mathematical probability calculator is still offline so you'll have to take it from here Steve... :D
                          www.BigBlockMopar.com

                          Comment


                          • #14
                            Re: Balls In A Jar !!!

                            this might help:
                            http://www.stat.rutgers.edu/~ztan/black-white-balls.pdf
                            http://www.stat.rutgers.edu/~ztan/sol_practice1.pdf

                            http://www.jstor.org/pss/1968620

                            http://en.wikipedia.org/wiki/Bayes%27_theorem

                            Comment


                            • #15
                              Re: Balls In A Jar !!!

                              How much is the wager?

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