Is there an equation that can predict black hole formation from neutron star formation from supernova occurrence?

If supernovas can be predicted depending on the mass of the a star, (If its more than about 8 times the mass of sun it will eventually go supernova - https://www.space.com/23756-white-dwarf-stars.html), can we use that data to predict if a neutron star will later form from this supernova and if that neutron star will turn into a black hole later on? A neutron star can only turn into a black hole if it reaches a density of 4 × 10^14 I think (https://chem.libretexts.org/Ancillary_Materials/Exemplars_and_Case_Studies/Exemplars/Physics_and_Astronomy/Density_of_Black_Holes) or basically has a mass greater than 2 or 3 solar masses since density typically increases proportionately with mass in neutron stars. I feel like there is a way to connect all three of these stages of a neutron-formed black hole in a simple equation I am just not sure how or where to find more information into it. Let me know what you think!

For example, they give the following expressions to relate the observable parameters of type IIp (plateau) core-collapse supernovae - the luminosity at 50 days, $$L_{50}$$, and the length of the light curve plateau, $$t_p$$, in terms of the energy of the explosion $$E_{51}$$ (in units of $$10^{51}$$ ergs) and the progenitor mass, $$M_{in,10}$$ in units of 10 solar masses. $$L_{50} = 1.49\times 10^{42} E_{51}^{0.82} M_{in,10}^{0.77}\ {\rm erg/s}\ ,$$ $$t_p = 128E_{51}^{-0.26} M_{in,10}^{0.11}\ {\rm days}.$$