If [tex]A[/tex] and [tex]B[/tex] are mutually exclusive, then [tex]P(A \cap B)=0[/tex].
[tex]A[/tex] and [tex]B[/tex] are independent if and only if [tex]P(A \cap B)=P(A) P(B)[/tex]
If [tex]A[/tex] and [tex]B[/tex] are two events with [tex]P(A)=0.4, P(B)=0.2[/tex], and [tex]P(A B)=0.5[/tex]. Find the following:
(a) [tex]P(A \cap B)(b) P(A ? B)(c) P(A ? \cup B[/tex] ?) (d) [tex]P(A \mid B)[/tex]
