juniorProbability
What is the difference between discrete and continuous probability?
Updated May 17, 2026
Short answer
Discrete probability deals with countable outcomes, while continuous probability deals with uncountable outcomes.
Deep explanation
Discrete probability uses probability mass functions (PMF), while continuous probability uses probability density functions (PDF). In continuous cases, probability at a single point is zero; only intervals have meaning.
Real-world example
Rolling dice (discrete) vs measuring temperature (continuous).
Common mistakes
- Thinking continuous variables have non-zero probability at a point.
Follow-up questions
- What is a PDF?
- What is a PMF?