A black hole is actually the end result of a supernova. When a star has run out of fuel to burn, it collapses and blows off its outer shell. This is a supernova. If the original star was massive enough, the collapsed core can become a black hole.
To answer your question, if there were a black hole in space, and another star went supernova nearby, it is likely that the black hole would absorb some of the material directed toward it, but most of the material would be moving too fast to be caught in even the high gravitational field of the black hole. If the star that went supernova and the black hole were initially in orbit around each other, they would possibly remain so as a binary system, or the explosion may propel the second star away from the black hole. If the second star also becomes a black hole, they would be difficult to observe directly, but there would be an expanding nebula of hot gas resulting from the supernova explosion.
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