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math-for-ai / Bayes' Theorem
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Direction: Choose the correct option

Q1.

Bayes' theorem relates:
A. All of the above
B. Conditional and marginal probabilities
C. Joint and product probabilities
D. Posterior and prior
Direction: Choose the correct option

Q2.

In Bayes' theorem, the denominator P(B) is often calculated using:
A. Law of total probability
B. Chain rule
C. Product rule
D. Multiplication rule
Direction: Choose the correct option

Q3.

If P(A)=0.4, P(B|A)=0.8, P(B)=0.6, what is P(A|B)?
A. 0.48
B. 0.533
C. 0.32
D. 0.8
Direction: Choose the correct option

Q4.

Bayes' theorem is fundamental for:
A. Naive Bayes classifier
B. PCA
C. K-means clustering
D. Linear regression
Direction: Choose the correct option

Q5.

The prior probability is:
A. Probability before seeing data
B. Probability after seeing data
C. Evidence
D. Likelihood