The following information may help to address your question:
As many as 1 in 5 people of Sephardic Jewish, Armenian, Arab and Turkish heritage is a carrier of FMF.
In rare cases, FMF appears to be inherited in an autosomal dominant manner. This means that to be affected, a person needs to have a mutation in only one copy of the responsible gene in each cell. In some cases, an affected person inherits the mutation from an affected parent. Other cases may result from new (de novo) mutations in the gene. A person with autosomal dominant FMF has a 50% chance to pass the mutated gene on to each child.
In some cases, FMF may appear to be autosomal dominant when it is actually autosomal recessive. This phenomenon is called pseudodominance.