Let's say I have 20 players [names A .. T] in a tournament. The rules of the tournament state that each player plays every other player twice [A vs B, B vs A, A vs C .. etc]. With 20 players, there will be a total of 380 matches.
In each match, there are three possible outcomes - player 1 wins, player 2 wins, or draw. There's a betting exchange which, ahead of each match, quotes the probabilities of each outcome occurring; so you might have 40% player 1 wins, 30% player 2 wins, 30% draw [probabilities sum to 100%]; I store these probabilities ahead of each match.
Fast forward one-quarter of the way through the tournament. I have collected probabilities for 95 games, with 285 still to go. What I want to know is -
Can the probability data from the 95 games be used to predict probabilities for the remaining 285?
For example, if I know A vs B and B vs C, can I use them to infer A vs C?
And if so, how do I do it?