Having a rainy-day savings account is another way to help prepare for unexpected medical costs and serious illnesses. But according to a Bankrate study, only four in 10 Americans have enough in their savings to comfortably afford an emergency $1,000 expense. This is where something like critical illness insurance can come in handy to help you cover unanticipated expenses. If you want to assure all your bases are covered, it’s a good idea to have both a savings account and a supplemental health insurance plan at your disposal.