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?
 A: 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.
A: *

*even + even = even

*odd + odd = even

*even + odd = odd

*odd + even = odd


Assuming both teams' chances are equal to score even and odd, the chances for sum are equal too. You are right.
A: well, in a real situation I am not sure the probability may be actually computed.
If we say that the results of a basketball game are a couple of positive integers less than a fixed value (say, 1000) with the only constraint that they are different, consider the score $N$ of the winner. The loser may have scored with the same probability a value from 0 to $N-1$; if $N$ is even, the odds are even, but if $N$ is odd it is more probable that the sum is odd.
A: 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
A: When u are betting odd and even
u have to bet in calculated steps..
Instead to bet on the total score odd or even,break into the 4 quarters using the backup betting system. With this u can earn up 45%
of all your stake..
1 Quarter odd $1×1.90
2 Quarter odd $3×1.90
3 Quarter odd $9×1.90
4 Quarter odd $27×1.90..
U only up your stake if the previous bet is lost..
If u have the bankroll to supported this odd and even betting system u can never lost...hope this helps.
