Figure 4.

Comparability of probability distributions in $N=3$. The region in the center consists of all $p^{\prime }$ that are majorized by p, i.e., $p\succ p^{\prime }$, whereas the outer region consists of all $p^{\prime }$ that majorize p, $p\prec p^{\prime }$. The bright regions are not comparable to p. (a) $p=(\frac{1}{3},\frac{1}{2},\frac{1}{6})$; (b) $p=(\frac{1}{2},\frac{1}{4},\frac{1}{4})$.