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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
Member #33372
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?

United States
Member #13130
March 30, 2005
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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.

mid-Ohio
United States
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March 24, 2001
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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 *

NASHVILLE, TENN
United States
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February 20, 2006
1044 Posts
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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.

NASHVILLE, TENN
United States
Member #33372
February 20, 2006
1044 Posts
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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.

United States
Member #13130
March 30, 2005
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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.

CA
United States
Member #2987
December 10, 2003
832 Posts
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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:

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.

=^.^=

United States
Member #5344
June 30, 2004
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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

OLD/Vtrac

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