alleryBayes' theorem is essentially used to:
ACompute P(A∪B) from joint probabilities
BUpdate prior P(E) to posterior P(E|A)
CFind P(A) from independent events
DCompute mean and variance of distributions
Answer & Solution
Correct answer: B. Update prior P(E) to posterior P(E|A)
Bayes' theorem flips a conditional probability: given new evidence A, it updates the prior P(Ei) to the posterior P(Ei|A).
Foundational in decision theory and machine learning.
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