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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Probability
Partition of Sample Space
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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