Actuarial Exam P (Exam 1) Prep: Use a Tabular Venn Diagram for a Conditional Probability Problem

SOA Sample Exam P Question 12: A doctor is studying the relationship between blood pressure and heart- beat abnormalities in her patients. She tests a random sample of her patients and notes their blood pressures (high, low, or normal) and their heartbeats (regular or irregular). She finds that (i) 14% have high blood pressure, (ii) 22% have low blood pressure, (iii) 15% have an irregular heartbeat, (iv) Of those with an irregular heartbeat, one-third have high blood pressure, (v) Of those with normal blood pressure, one-eighth have an irregular heartbeat. Calculate the portion of the patients selected who have a regular heartbeat and low blood pressure.

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