Figure shows the average (across realizations) num- loss for these same conditions as shown in Figs. , and 8. Random mixing (red) produces the expected number of interfaces on average of 64 [1 -𝑏 3 -(1 -𝑏) 3 ] as shown by the dashed red line. Random mixing also fails to produce significant mixing when 𝑏 ∼ 0, 1 as expected due to the low probability of a random cut falling into the less abundant species.