A star, that will go supernova, apparently, can become a black hole, or a neutron star; how does that work?

I heard this recently in a video that was about the Orion constellation (probably the aforementioned star is located there; could it be Betelgeues, or Rigel, or Bellatrix?).
What can make it so the outcome can be either a black hole, or a neutron star?

If you answer, can you pretend I’m your aunt, or your grandfather; in other words, explain it in clear and simple terms?

Thanks in advance!