A black hole can actually contain matter and anti matter, but not for long. Every particle has an antiparticle ' with identical mass and an opposite electrical charge e.g. the antiparticle of an electron is a positron, the antiparticle on a neutron is an antineutron etc. Particles other than those that make up ordinary matter (electrons, protons, and neutrons) are short-lived, and produced in accelerators and cosmic rays and known as antimatter. When matter and antimatter meet they annihilate producing gamma rays, and as the antimatter is only short lived, only matter exists afterwards. So if antimatter fell into a black hole it would be annihilated by matter, with matter existing on its own afterwards.