Odd versus Even

Reply #7

tntea — Sat, 02 Feb 2008 16:34:03 GMT

two odd numbers give an even

two even numbers give an even

one odd and one even give an odd

Reply #6

johnph77 — Wed, 23 Jan 2008 03:52:22 GMT

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

The breakdown:

Sum Frequency Sum Frequency Sum Frequency Sum Frequency Sum Frequency

15 1 50 1114 84 7650 118 7246 152 918

16 1 51 1224 85 7844 119 7038 153 831

17 2 52 1338 86 8022 120 6818 154 748

18 3 53 1462 87 8198 121 6600 155 674

19 5 54 1590 88 8357 122 6372 156 603

20 7 55 1729 89 8512 123 6148 157 540

21 10 56 1871 90 8649 124 5916 158 480

22 13 57 202... [ More ]

Reply #5

time*treat — Tue, 22 Jan 2008 09:48:10 GMT

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.

Reply #4

GASMETERGUY — Tue, 22 Jan 2008 03:05:48 GMT

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.

Reply #3

GASMETERGUY — Tue, 22 Jan 2008 03:04:34 GMT

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

Reply #2

RJOh — Tue, 22 Jan 2008 02:11:31 GMT

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

Reply #1

time*treat — Tue, 22 Jan 2008 02:08:33 GMT

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.

Odd versus Even

GASMETERGUY — Tue, 22 Jan 2008 01:35:26 GMT

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 m... [ More ]