SOA Exam P Question 25 | Conditional Probability

A blood test indicates the presence of a particular disease 95% of the time when the disease is actually present. The same test indicates the presence of the disease 0.5% of the time when the disease is not actually present. One percent of the population actually has the disease. Calculate the probability that a person actually has the disease given that the test indicates the presence of the disease. (A) 0.324 (B) 0.657 (C) 0.945 (D) 0.950 (E) 0.995 You can find the link to the questions below: https://www.soa.org/globalassets/assets/Files/Edu/edu-exam-p-sample-quest.pdf The link to the answers below: https://www.soa.org/globalassets/assets/Files/Edu/edu-exam-p-sample-sol.pdf Check out my other channel Rumi's Life: https://www.youtube.com/channel/UCJmFvrltr0Xht150O4lgTIA Email: [email protected]