In the first example test, both permutations of players have the probability of $\frac{1}{2}$.

In the second example test, there are $16^3=4096$ possible scenarios. Permutations $[2, 1, 3]$ and $[3, 1, 2]$ arise in $682$ scenarios each, while every other permutation arises in $683$ scenarios. Thus, the relative difference between the most and the least probable permutations is $\frac{683-682}{683} \approx 0.146\%$.