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Best Answer: A paternity test is not a necessary medical procedure, therefore its unlikely that you'll find a health insurance company that will cover one. If you get a court ordered paternity test, its possible that you wouldn't have to pay for the test...depending on how the laws are in your area. That's something you'd have to ask an attorney. Otherwise, if you're just curious about who your child's father is, then you or he will have to pay for it out of pocket.
If you are wondering how much do STD tests cost, you should also know that most insurance programs also cover STD testing. The cost of STD tests is included in most comprehensive health insurance plans. You might be needed to make some small payment along with each test.