Table 3: The specific binary fraction $\mathcal{B}_{M_1}(M_1)$ as compared to the generating binary fraction $\mathcal{B}$, for different the pairing functions.

Pairing		 $\mathcal{B}_{\rm all}$ $\binf_{M_1 \approx M_{\rm max}}$ $\binf_{M_1 \approx M_{\rm min}}$ $\mathcal{B}_{M_1}(M_1)= \mathcal{B}$?

RP		 = > < no, unless $\mathcal{B}=100\%$
PCRP = = = yes

PCP-I		 = = = yes
PCP-II < $\approx$ < no
PCP-III = = = yes

SCP-I		 = $<,\approx,>$ $<,\approx,>$ no, unless $\mathcal{B}=100\%$
SCP-II < $<,\approx,>$ $<,\approx,>$ no
SCP-III = $<,\approx,>$ $<,\approx,>$ no, unless $\mathcal{B}=100\%$

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