Let suppose there are $n$ teams participating in a round robin tournament and a particular team has won $x$ matches out of total $n-1$ matches that it has played. Can you give me the probability distribution of that team with respect to rank considering ::
Part (1): Each team has $\frac12$ probability to win against any other team.
Part (2): Each team $i$ has an attribute $l_i$. So the probability of it winning against team $j$ will be $l_i/(l_i + l_j)$. So a stronger team will have higher $l_i$ and hence better probability of winning against teams with weaker $l$s.
Ties are broken randomly and each team plays every other team only once.