Let: $$ \bfC \coloneq {AUS, BRA, ESP, FJI, FRA, IDN, ITA, JPN, NZL, PRT, USA, ZAF } $$ $$ \bfS_{X} \coloneq { \sigma : X \rightarrow X \vbar \sigma is bijective } $$ $$ 2^X \coloneq {A \vbar A \subset X } $$ Define a measurable space: ($$\bfS_{C}, 2^{\bfS_{C}}, \bfP$$) where $$\bfP(A) \coloneq \frac{|A|}{|C|!}$$ Some Facts I will Justify Later () namely, the set of all athlete or judge nationalities.