**Discrete:**
- Every dot on the plain is an equally likely outcome. Events.
- There are $n$ elements in the [[Sample Space]] $\Omega$
- Event $A$ consists of $k$ elements
$ \mathbf P(A)= k * \frac{1}{n} $
![[discrete-uniform-law.png | center |300]]
**Continuous:**
- Probabilities can be found by calculating the area.
- Since there is equal probability mass across the sample space, proportional area is the same as probability.
$ \mathbf P(x,y \vert \underbrace{x+y \le 0.5}_{\text{condition}}) $
![[continuous-uniform-law.png | center | 300]]