{Cysts Narrative} What is the probability that the patient will test negative?

Diagnostic Test

A test used to identify a disease or condition in individuals, often based on specific markers, symptoms, or indicators.

Malignant Cyst

A malignant cyst refers to a growth that contains cancerous cells and can potentially spread to other parts of the body.

Benign Cyst

A noncancerous, fluid-filled sac that can develop in various parts of the body, often not harmful.

Engage Bayes' Theorem to figure out posterior probabilities based on established conditions and earlier information.
Resolve issues in practical settings by applying conditional probability, notably in medical diagnostics and service delivery.
Apply the concepts of Bayes' Theorem in actual scenarios, including the medical diagnostic process and the evaluation of service performance.

Verified Answer

Final Answer :

P(−) = 1 − P(+)= 1 − .29 = .71 or P(−) = P(− and M)+ P(− and B)= P(−/M)· P(M)+ P(−/B)· P(B) = (.20)(.15)+ (.80)(.85)= .71

Learning Objectives

Engage Bayes' Theorem to figure out posterior probabilities based on established conditions and earlier information.
Resolve issues in practical settings by applying conditional probability, notably in medical diagnostics and service delivery.
Apply the concepts of Bayes' Theorem in actual scenarios, including the medical diagnostic process and the evaluation of service performance.