What are the chances of a person with tourettes passing on the disease to their offspring?

It depends. It depends on the details of the family history. Tourette's is inherited in a complicated way that we don't completely understand, but we know that if one parent has it, each child has about a one in five chance of tourettes. If there is tourette's on both the mother's and the father's sides, the risk is even greater. Visit the national tourette syndrome association at http://www.Tsa-usa.Org/.
High. This is an inherited disease with environmental and genetic factors.