Partition of Sample Space

Rarely Tested

Partition of Sample Space

Events B_1,...,B_n form a partition if:

$$B_i\cap B_j=\varnothing,\quad i\neq j$$

and:

$$\bigcup_{i=1}^{n}B_i=S$$

Usage

- Used as the foundation of the law of total probability and Bayes' theorem.

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