Gina,
Persistent is another name for Common, no pollination needed. You will not get any common figs if you breed to a Caducous caprifig.
Per Ray Given's website:
Edible figs are divided into three classes:
1. Caducous (or Smyrna) figs which need pollination to set crops. Examples are Marabout, Calimyrna (or Sari
Lop), and Zidi.
2. Persistent (or Common) figs which do not need pollination to set crops. These are the kind home gardeners
most commonly grow. Examples are Black Mission, Brown Turkey, Celeste, Brunswick and Adriatic.
3. Intermediate Group (or San Pedro) figs which do not need pollination to set a breba crop, but do need it for
the main crop (in some environments). Examples are King, Lampeira, and (of course) San Pedro.
Using a persistent caprifig as the pollen parent will yield a progeny consisting of roughly 25% each of
caducous caprifigs, persistent caprifigs, caducous edible figs and persistent edible figs
Using a caducous caprifig as the pollen parent will yield a progeny of roughly 50% caducous caprifigs,
50% caducous edible figs and 0% persistent caprifigs and edible figs.