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

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.
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.