The relationship is more probable than is not transitive like greater than, which (to me) is counterintuitive.
I think its transitive. By definition the probability of the event X is n(X)/n(all events), a rational in other words, and rationals are transitive. I think we discussed this earlier too. Red, Yellow and Blue are not events, Red beating Blue, etc.. are. I can understand some people think its counterintuitive now even though I don't..
Agreed though is that "The probability of Red winning" is illdefined without knowing anything about the opponents.