What are the chances that a baby could get multiple sclerosis if one of the parents has ms?

Unlikely: Babies are not born with multiple sclerosis. Family studies have shown that relatives of people with MS have a greater risk for the disease than the general population, approximately 3->5 % in first degree relatives.

Fairly low.: Although risk of first degree relatives passing on ms susceptibility runs btwn 15-35 times, the actual chance of mother to child is about 3-5 % and father to child lower at 1-2%. So unlikely that will occur in most cases, if one excludes environmental influences.