Final answer:
It is difficult to predict the most likely outcome without more information about the specific circumstances. The family's lawsuit would need to prove negligence on the part of Dr. Smith. The outcome will depend on the evidence presented in court.
Step-by-step explanation:
In this case, it would be difficult to predict the most likely outcome without more information about the specific circumstances and evidence surrounding the woman's death. However, it is important to note that medical procedures, including coronary angioplasty, carry inherent risks. Dr. Smith provided the woman with the necessary information about the potential risks and alternatives, and she made an informed decision to proceed with the angioplasty. Family members filing a lawsuit would need to prove that Dr. Smith was negligent in some way, such as failing to follow proper medical protocols or providing inadequate informed consent. The outcome of the lawsuit will depend on the evidence and arguments presented by both sides.