Final answer:
The principle that dictates all patients should have equal rights to nursing interventions is known as the principle of justice, which ensures equitable health care distribution. The correct option is 3.
Step-by-step explanation:
When caring for patients, the ethical principle that stipulates all patients should have the same right to nursing interventions is known as the principle of justice.
This implies that the distribution of health care should be equitable and that similar patients in similar circumstances should receive similar care. It is a vital component in both clinical settings and in the conduct of clinical trials, ensuring that all participants are treated fairly and that care is distributed without partiality.