Bayes' Theorem & Applications

Grade 12 Maths Higher — Bayes' Theorem & Applications: 25 practice questions with instant scoring and explanations.

1. Bayes' Theorem: P(A|B) =
2. P(B) = ∑P(B|Aᵢ)P(Aᵢ) is:
3. Prior probability is:
4. Posterior probability:
5. Likelihood P(B|A):
6. Medical test: sensitivity = P(+|disease), specificity = P(-|no disease):
7. False positive rate = P(+|no disease):
8. Bayes in diagnosis: P(disease|+) uses:
9. Spam filter using Bayes:
10. Multiple observations in Bayes:
11. Three boxes problem (Monty Hall variant):
12. Prosecutor's fallacy:
13. Uniform prior means:
14. Laplace's rule of succession:
15. Beta-binomial conjugacy:
16. Credible interval in Bayesian:
17. Hypothesis testing Bayesian:
18. Naive Bayes classifier:
19. Markov chain transition:
20. Causal inference:
21. Information update Bayesian:
22. Odds form Bayes:
23. Exchangeability in Bayes:
24. Subjective probability:
25. Review question for Bayes' Theorem & Applications