# Category:Probability Theory

This category contains results about Probability Theory.

Definitions specific to this category can be found in Definitions/Probability Theory.

**Probability theory** is the branch of mathematics which studies probability spaces.

## Subcategories

This category has the following 28 subcategories, out of 28 total.

### A

### B

### C

### D

### E

### G

### M

### N

### P

### R

### S

### U

### V

## Pages in category "Probability Theory"

The following 68 pages are in this category, out of 68 total.

### B

### C

- Central Limit Theorem
- Characteristic Function on Event is Discrete Random Variable
- Chebyshev's Inequality
- Classical Probability is Probability Measure
- Condition for Independence of Discrete Random Variables
- Conditional Probability Defines Probability Space
- Countable Function on Power Set of Sample Space is Discrete Random Variable
- Countable Intersection of Events is Event

### D

### E

- Elementary Properties of Event Space
- Elementary Properties of Probability Measure
- Envelope Problem
- Equivalence of Definitions of Independent Events
- Event Independence is Symmetric
- Event Space contains Empty Set
- Event Space contains Sample Space
- Event Space from Single Subset of Sample Space
- Existence of Probability Space and Discrete Random Variable

### F

### I

### P

- Pairwise Independence does not imply Independence
- Power Set of Sample Space is Event Space
- Probability Mass Function of Function of Discrete Random Variable
- Probability Measure is Monotone
- Probability Measure is Subadditive
- Probability Measure on Equiprobable Outcomes
- Probability of Empty Event is Zero
- Probability of Event not Occurring
- Probability of Independent Events Not Happening
- Probability of Independent Events Not Happening/Corollary
- Probability of Limit of Sequence of Events
- Probability of Limit of Sequence of Events/Decreasing
- Probability of Limit of Sequence of Events/Increasing
- Probability of no 2 People out of 53 Sharing the Same Birthday
- Probability of Occurrence of At Least One Independent Event
- Product of Discrete Random Variables
- Product Rule for Probabilities
- Properties of Cumulative Distribution Function