I am not an astronomer, but IIRC, stars go through their fuel the faster the more massive they are. So in a binary system, ignoring mass transfer between the tw

I am not an astronomer, but IIRC, stars go through their fuel the faster the more massive they are. So in a binary system, ignoring mass transfer between the two, the more massive partner goes supernova first (assuming it's massive enough). (One could, however, conceive a scenario where a black hole and a star more massive than the black hole happen to run into each other in such a way they start orbiting each other.)