midProbability
What is the difference between probability mass function (PMF) and probability density function (PDF)?
Updated May 17, 2026
Short answer
PMF is for discrete variables, while PDF is for continuous variables.
Deep explanation
PMF gives actual probabilities for discrete outcomes, while PDF gives density, not direct probability. For continuous variables, probability is computed over intervals using integration.
Real-world example
PMF for dice rolls vs PDF for heights distribution.
Common mistakes
- Thinking PDF values are probabilities.
Follow-up questions
- Can PDF exceed 1?
- How do you get probability from PDF?