Discrete Math › Section D · Counting › Topic D.7
Counting and probability
When every outcome is equally likely, a probability is just one count divided by another. Everything this section has built, from the product principle to inclusion-exclusion, becomes a tool for measuring chance.
In this topic
- Probability as a ratio of counts
- Equally likely is an assumption
- Worked example: a full house
- The complement and union rules
- Worked example: a random committee
- Conditional probability
- Independent events
- Worked example: the Monty Hall problem
- Common mistakes to avoid
- Key takeaways
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