Can I Have Private Insurance And Medicare? 
Yes , people who have Medicare part A & B can also have a Medigap Plan -LRB- or Medicare Supplement Insurance -RRB- . A Medigap Plan covers what original Medicare Part A & B does not such as co-insurance , deductibles and co-pays . These plans are offered through private insurance companies . The best way to compare Medigap Plans is to contact an independent agent that can you show you quotes from all the major private insurance carriers . 