Patients randomized will receive a 2.5 mg dose of Fondaparinux Sodium or placebo subcutaneously for a total of 3-9 days post CABG with day 1 being the day of surgery. The drug will be discontinued if the patient is discharged before day 9. If the patient stays for more than 9 days inside hospital, a duplex would be obtained per protocol and further DVT prevention measures would be instituted per the discretion of treating physician.