The two characteristics that make a star most likely to become a black hole are:
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It is dying. - A star's life cycle will influence its end-state, and stars that go through the late stages of their evolution can undergo supernova explosions, potentially leading to black hole formation.
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Its mass is greater than 20 times the mass of the sun. - Generally, a star needs to be significantly more massive than the Sun (typically more than about 20 solar masses) to end its life as a black hole after a supernova explosion.
The other options regarding an abundant supply of hydrogen and having a mass equal to that of the sun do not contribute to the likelihood of forming a black hole.