Bayes' Theorem and Conditional Probability in Medical Testing

Math Problem Statement

A laboratory blood test is 98% effective in detecting a certain disease when it is

in fact, present. However, the test also yields a false positive result for 0.4% of

the healthy person tested. From a large population, it is given that 0.2% of the

population actually has the disease.

This

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Probability
Bayes' Theorem
Conditional Probability

P(A|B) = (P(B|A) * P(A)) / P(B)
P(B) = P(B|A) * P(A) + P(B|A') * P(A')

Bayes' Theorem

Grades 10-12

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