Hermione was a witch. She was a muggleborn, which is a wizard or witch born to non-magical or muggle parents. They get their magical genes though a squib in the family. A squib is a non-magical child born to magical parents.

Secondly, is Hermione a Muggle or Mudblood? Hermione Granger is frequently referred to as a mudblood by prejudiced. There are some Muggle-borns who refuse to allow the term to be degrading to them.

Additionally, how can Muggles have a wizard child?

If this is the case, a single random mutation in the gene could fix it for two muggle parents, or two muggles could have a child who gets healthy versions of the gene from one or more parents (the genes do seem to be dominant, since Muggle Wizard invariably ends up with a Squib or a witch/wizard).

Is Hermione a witch or a wizard?

The most prominent Muggle-born in the Harry Potter series is Hermione Granger, who had two Muggles of unspecified names as parents. A witch or wizard with all magical heritage is called a pure-blood.