I totally understand and I through that thought process every day. My Cardio Doc insists that I take a Plavix every day, but that vastly increases my chances of dying due to a accident or even an emergency operation as there is no way to stop the bleeding.
My last heart attack was 8 years ago, so I now take Plavix 3 times a week plus baby aspirin and pray...
I buy a huge jar of 81mg baby aspirin for almost nothing and then I don't have to cut any into smaller doses.