Physician: Stories of people developing serious health problems shortly after receiving vaccinations have given rise to the question of whether vaccination is safe. But even if these stories are true, they need not be cause for concern. With millions of people being vaccinated every year, it is to be expected that some will develop health problems purely by coincidence shortly after receiving vaccinations.
The statement 'People are no more likely, on average, to develop serious health problems shortly after receiving vaccinations than shortly before receiving vaccinations' would most strengthen the physician's argument.