This is a study to investigate if eltrombopag can be used instead of Intravenous Immune Globulin (IVIG) in patients with ITP, to adequately raise their platelet count when they undergo minor or major surgery. Eltrombopag is a daily, oral pill approved for treatment of ITP. IVIG is a blood product frequently used to treat ITP. Patients with ITP who need surgery have to get treatment to increase their platelet count. IVIG is commonly used for this purpose but eltrombopag may be more effective and convenient for patients.