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 ...

Venn diagrams are used to sort sets of data. The probability of an event not happening uses the complement of the region on the Venn diagram. Count the number of elements in each region. Redraw the ...