Whilst it is true that it is a lot easier to avoid an accident than a disease, you can probably do more about your risk of dying of disease. For example, you could verse yourself in the symptoms of various diseases; then you would be more likely to know if you caught one. With a lot of diseases, catching it early will vastly increase your odds of surviving. Combine that with the fact that dying of an accident isn't a common cause of death in the first place; and even if you were able to cut your risk of disease death by only one-fifteenth, that would be more than completely eliminating the risk of accidents.
Whilst it is true that it is a lot easier to avoid an accident than a disease, you can probably do more about your risk of dying of disease. For example, you could verse yourself in the symptoms of various diseases; then you would be more likely to know if you caught one. With a lot of diseases, catching it early will vastly increase your odds of surviving. Combine that with the fact that dying of an accident isn't a common cause of death in the first place; and even if you were able to cut your risk of disease death by only one-fifteenth, that would be more than completely eliminating the risk of accidents.