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Odd versus Even

Topic closed. 7 replies. Last post 9 years ago by tntea.

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NASHVILLE, TENN
United States
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February 20, 2006
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Posted: January 21, 2008, 8:35 pm - IP Logged

I have a problem.  Logic tells me that if I summed every possible number set in a 5/39 game, there should be almost an equal amount of odd sums as well as even sums. 

Well, I programmed an Excel spreadsheet to tell me just how many odd sums I would get and just how many even sums I would get.  The result was astonding.

There were 171 more odd sums than even sums.  I have done everything I know to find the error in my code to no avail.  Is there a mathematician in the house that can tell me whether or not there will be more odd sums than even sums? 

    time*treat's avatar - radar

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    Posted: January 21, 2008, 9:08 pm - IP Logged

    An odd number of balls drawn and an odd number of numbers would dictate a few more odd sums than even ones. Out of 575,757 combos, a difference of 171 shouldn't frighten you.

    In neo-conned Amerika, bank robs you.
    Alcohol, Tobacco, and Firearms should be the name of a convenience store, not a govnoment agency.

      RJOh's avatar - chipmunk
      mid-Ohio
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      Posted: January 21, 2008, 9:11 pm - IP Logged

      There are more odd than even numbers and combinations in a pool of 39 numbers.  Odd numbers =20 and 5/20=15,500 combination and even numbers=19 and 5/19=11,628 combinations

       * you don't need to buy more tickets, just buy a winning ticket * 
         
                   Evil Looking       

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        NASHVILLE, TENN
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        Posted: January 21, 2008, 10:04 pm - IP Logged

        An odd number of balls drawn and an odd number of numbers would dictate a few more odd sums than even ones. Out of 575,757 combos, a difference of 171 shouldn't frighten you.

        It just seems to be extremely illogical.  That's all.

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          NASHVILLE, TENN
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          Posted: January 21, 2008, 10:05 pm - IP Logged

          There are more odd than even numbers and combinations in a pool of 39 numbers.  Odd numbers =20 and 5/20=15,500 combination and even numbers=19 and 5/19=11,628 combinations

          that makes sense.

          But it still seems illogical.

          I am going with the fact there are more odd sums than even sums. 

          Thanks for the replies, good people.

            time*treat's avatar - radar

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            Posted: January 22, 2008, 4:48 am - IP Logged

            add 5 odd numbers + 0 even numbers = odd sum
            add 4 odd numbers + 1 even numbers = even sum
            add 3 odd numbers + 2 even numbers = odd sum
            add 2 odd numbers + 3 even numbers = even sum
            add 1 odd numbers + 4 even numbers = odd sum
            add 0 odd numbers + 5 even numbers = even sum

            With 39 nums, you have 20 odd numbers and only 19 even ones. Choosing any 5, that tips the sums towards odd.

            In neo-conned Amerika, bank robs you.
            Alcohol, Tobacco, and Firearms should be the name of a convenience store, not a govnoment agency.

              johnph77's avatar - avatar
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              Posted: January 22, 2008, 10:52 pm - IP Logged

              Not illogical at all. You have 20 odd numbers and 19 even numbers.

              The breakdown:

               

               

              SumFrequencySumFrequencySumFrequencySumFrequencySumFrequency
              1515011148476501187246152918
              1615112248578441197038153831
              1725213388680221206818154748
              1835314628781981216600155674
              1955415908883571226372156603
              2075517298985121236148157540
              21105618719086491245916158480
              22135720249187811255689159427
              23185821809288941265455160377
              24235923479390011275228161333
              25306025179490881284996162291
              26376126979591691294771163255
              27476228799692291304543164221
              28576330729792821314323165192
              29706432669893141324101166164
              30846534709993391333888167141
              3110166367410093431343674168119
              3211967388810193391353470169101
              331416841011029314136326617084
              341646943231039282137307217170
              351927045431049229138287917257
              362217147711059169139269717347
              372557249961069088140251717437
              382917352281079001141234717530
              393337454551088894142218017623
              403777556891098781143202417718
              414277659161108649144187117813
              424807761481118512145172917910
              43540786372112835714615901807
              44603796600113819814714621815
              45674806818114802214813381823
              46748817038115784414912241832
              47831827246116765015011141841
              48918837455117745515110141851
              491014

               

              Even though the midpoint of the sums is 100, there are still (as you pointed out) 171 more odd-sum combinations than even.

              Blessed Saint Leibowitz, keep 'em dreamin' down there..... 

              Next week's convention for Psychics and Prognosticators has been cancelled due to unforeseen circumstances.

               =^.^=

                tntea's avatar - Lottery-059.jpg

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                Posted: February 2, 2008, 11:34 am - IP Logged

                two odd numbers give an even

                two even numbers give an even

                one odd and one even give an odd

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