Hospital records show that 16% of all patients are admitted for heart disease (coronary), 26% are admitted for cancer (oncology) treatment, and 8% receive both coronary and oncology care. What is the probability that a randomly selected patient is admitted for coronary care, oncology or both?
I answered 0.5 and it was wrong. I thought that it is a union of events for probability of coronary, oncology and both. So that would apply to the sum rule for union of events. And i simply added the probabilites of all three. I saw that it said OR and not AND which would indicate intersection (subtraction).
Please help and explain! Thanks