Sum of total scores odds will end even or odd Friend and i are betting on the ending total scores of basketball game, he says odds are greater it will end with an even sum, i say the odds are equal. Who is right?
In theory @gev is correct, but I don't think it's a reasonable assumption that it's equally likely for either team to score odd vs even.

I analyzed every NCAA game since 2010 http://www.sports-reference.com/cbb/play-index/tourney.cgi and got

Odd: 262
Even: 222

So 54% odd.

If I had to guess which is more probable I'd say odd. Suppose that team A scored X points.  Then team B can score anything BUT X, meaning there's one less possibility to get an even sum.
even = even + even

even = odd + odd

i.e.: If both are similar (both are even or odd) then the answer is even. 

But if both are different then the answer is odd.

odd = even + odd 

odd =  odd + even