ES1990.docx - 1 Suppose that A= cfw_Hypertension Diabetes...

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1. Suppose that A= {Hypertension, Diabetes, COPD} are diagnoses for patient 1, B= {Cancer, Dementia, Hypertension} are diagnoses for patient 2, and C= {Diabetes, Liver Disease}. A ∩ B =? In addition to listing the elements, describe the significance of this set. P(A ∩ B) is the probability of the intersection of Events A and B (The probability that Events A and B both occur is the probability of the intersection of A and B). Therefore A ∩ B = {Hypertension}. This is because Hypertension occurs in both set A and set B. (A B) ∩ C =? P(A B) is the probability of the union of Events A and B (The probability that Events A or B occur is the probability of the union of A and B). (A B) = {Hypertension, Diabetes, COPD, Cancer, Dementia} P((A B) ∩ C) The probability that Events in set (A B) and Event C both occur is the probability of the intersection of A
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