Verified Academic Topic • 2026 Curriculum
Probability Theory: Bayes' Theorem with Diagnostic Test Scenarios
Bayes' Theorem explained with real-world clinical examples. Socratic step-by-step conditional probability calculations.
Standardized Exam Prompt / Problem
"A disease has a 1% prevalence. A diagnostic test has a 95% sensitivity and 90% specificity. Find the posterior probability of disease given a positive test."
Free Diagnostic Evaluation & Error Analysis
Step 1: State Bayes' formula: P(D|+) = [P(+|D)*P(D)] / [P(+|D)*P(D) + P(+|no D)*P(no D)]. Compute numerator 0.95 * 0.01 = 0.0095.
Full Band 9.0 Cambridge Model Solution & Step-by-Step Derivation
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