Mathematics · University
Bayes rule for an abstract classifier · formula reference
Use the base rate and both conditional likelihoods. This is an abstract classification model, not a medical test.
Formula
Use the base rate and both conditional likelihoods. This is an abstract classification model, not a medical test.
P(A|B) = P(B|A)P(A)/P(B)
Worked example
In an abstract classifier, P(A)=0.6, P(B|A)=0.8, and P(B|not A)=0.2. Calculate P(A|B). Round the final result to 4 decimal places if needed.
Total probability gives P(B) = 0.6(0.8) + (1 − 0.6)(0.2). Divide P(A and B) = 0.48 by this total.
0.8571
Prerequisites and checking
Algebra; calculus or linear algebra as appropriate to the topic. Keep units and rounding consistent. State the model conditions before applying the formula.
Further reading and review references
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