Originally posted by @sonhouse
No, not many at all. They are an intermediate state in terms of the mass of the progenitor star, like he said, if the star masses around 3 times our star mass (2E30 Kg times three, or 6E30 Kg) then it can become a black hole but stars below that mass will more likely become a neutron star or red dwarf when they go nova.
The progenitor star has to have a mass over 8 solar masses for the remnant to become a neutron star. The core of the star collapses, the rest of the star is blown off during the collapse. The remnant has a mass less than 3 solar masses or is a black hole. For a black hole the prosecutor star has to have a mass of at least of the order of 20 solar masses.
If the remnant is heavier than about three solar masses, then, as I understand it, the collapse to a black hole happens more-or-less immediately.