Table 5: Suppose that a stellar population has an observed mass ratio distribution $f_{q,{\rm obs}}(q) =1$ for $q_{\rm min}< q \leq 1$ . What is the pairing function and the generating mass distribution f_q(q)? This table lists the exponent $\gamma _q$ of the generating mass distribution $f_q(q)\propto q^{\gamma _q}$ that is most compatible with the synthetic observations.
Pairing function $\gamma _q$ (all stars) $\gamma _q$ (AB stars) $\gamma _q$ (BDs)

Observed 0.00 0.00 0.00

PCP-I 0.00 0.00 0.00

PCP-II 0.35 0.00 1.30

PCP-III 0.55 0.00 1.80

RP excluded excluded excluded

PCRP excluded excluded excluded

SCP-I 0.00 -0.40 0.10

SCP-II 0.30 -0.40 1.50

SCP-III 0.55 -0.40 1.75

**Table 5:** Suppose that a stellar population has an *observed* mass ratio distribution $f_{q,{\rm obs}}(q) =1$ for $q_{\rm min}< q \leq 1$ . What is the pairing function and the generating mass distribution f_q(q)? This table lists the exponent $\gamma _q$ of the generating mass distribution $f_q(q)\propto q^{\gamma _q}$ that is most compatible with the synthetic observations.
Pairing function	$\gamma _q$ (all stars)	$\gamma _q$ (AB stars)	$\gamma _q$ (BDs)
Observed	0.00	0.00	0.00
PCP-I	0.00	0.00	0.00
PCP-II	0.35	0.00	1.30
PCP-III	0.55	0.00	1.80
RP	excluded	excluded	excluded
PCRP	excluded	excluded	excluded
SCP-I	0.00	-0.40	0.10
SCP-II	0.30	-0.40	1.50
SCP-III	0.55	-0.40	1.75

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