Let $(X, \mathscr{A}, P)$ be a probability space and $\mathscr{B}$ a sub-$\sigma$-algebra of $\mathscr{A}$. Some results on regular conditional probabilities given $\mathscr{B}$ are proved. Using ...

The complement of set B, B’, contains all the elements that are not in set B. \(P’\) is the complement of set \(P\). The intersection of one set and the complement of another set identifies elements ...