| 429 | Given the sum | Easy | Lemma | Conditional probability | |
| 430 | Drawing without replacement | Easy | Lemma | Conditional probability | |
| 431 | Either one | Easy | Lemma | Conditional probability | |
| 433 | Defects from two machines | Easy | Lemma | Conditional probability | |
| 435 | A king among faces | Easy | Lemma | Conditional probability | |
| 436 | A six, given a seven | Easy | Lemma | Conditional probability | |
| 181 | At least one boy | Medium | Classical | ConditioningSample space | |
| 182 | A positive test | Medium | Lemma | Bayes' theoremBase rates | |
| 432 | A suspicious coin | Medium | Lemma | Conditional probability | |
| 434 | Which machine made it? | Medium | Lemma | Conditional probability | |
| 1808 | Unknown bag of four balls | Medium | Hall & Knight | Bayes theoremconditional probability | |
| 1809 | Six balls of unknown colours | Medium | Hall & Knight | Bayes theoremconditional probability | |
| 1810 | Postmark probability | Medium | Hall & Knight | Bayes theoremword patterns | |
| 1811 | Chances after a racing accident | Medium | Hall & Knight | conditional probabilityodds and chances | |
| 1812 | Purse of unknown coins | Medium | Hall & Knight | Bayes theoreminduction and combinatorics | |
| 1813 | Two-headed shilling | Medium | Hall & Knight | Bayes theoremrepeated trials | |
| 1814 | Drawing red balls from a bag | Medium | Hall & Knight | Bayes theoremconditional probability+1 | |
| 1815 | Die sum with a given first throw | Medium | Hall & Knight | conditional probabilitysample space | |
| 1817 | Agreement on a colored ball | Medium | Hall & Knight | Bayes theoremtest reliability | |
| 1818 | Probability of a lost card | Medium | Hall & Knight | Bayes theoremhypergeometric distribution | |
| 1822 | Agreement of Inaccurate Arithmeticians | Medium | Hall & Knight | Conditional ProbabilityIndependent Events | |
| 1893 | Sovereigns in a Purse Part 1 | Medium | Hall & Knight | Conditional ProbabilityBayes' Theorem | |
| 1894 | Sovereigns in a Purse Part 2 | Medium | Hall & Knight | Conditional ProbabilityLaw of Total Probability | |
| 1896 | Coins Distributed in Purses Part 2 | Medium | Hall & Knight | Conditional ProbabilityCombinations | |
| 1821 | Unknown Composition Bag | Deep | Hall & Knight | Bayes' TheoremCombinations | |
| 1823 | Testimony of Ten Witnesses | Deep | Hall & Knight | conditional probabilityBayes theorem+1 | |