I politely disagree with JPHazelton's statement.
"If you take out your own insurance, its just more money that people can sue you for."
Insurance is not a zero-sum problem against lawsuits. Although your purchase of lawsuit insurance is inferred from the plantiff, how much your coverage protects you is not open record.
Contrary to JPHazelton's statement, malpractice insurance in particular discourages lawsuits. If you have an action levied against you, a couple of things could happen. If you don't have lawsuit insurance, you are forced to use your own resources to defend yourself. The plantiff may win just through attrition. However, with malpractice insurance, they have to think twice because you have the capital to win through attrition, probably causing a mild settlement.
Also, the current payment for lawsuits is about $500K to 1.5M for adjudicated cases.
That's why doctors still have malpractice insurance, even though it costs them their firstborn. It's still economically advantageous for them to continue the relationship because they still stand to lose more than they gain. (Please do not imply that I'm even in tacit agreement with the outrageous rates they charge.)
BTW, the best presentation of insurance in general is webbed below. He's a lot more clever too...
Exploding Coke Bottles