Question Number 39173 by Rio Mike last updated on 03/Jul/18
$${Given}\:{that}\:{A}\:{and}\:{B}\:{are}\:{two} \\ $$$${independent}\:{Events}\: \\ $$$${where}\:{P}\left({A}\right)\:=\:\frac{\mathrm{4}}{\mathrm{5}}\:{and}\: \\ $$$${P}\left({A}\:\cup\:{B}\right)\:=\:\frac{\mathrm{13}}{\mathrm{5}}\:. \\ $$$$\left.{find}\:{a}\right)\:{P}\left({A}\cap{B}\right) \\ $$$$\left.\:\:\:\:\:\:\:\:\:{b}\right)\:{P}\left({A}\mid{B}\right). \\ $$$${hence}\:{draw}\:{tree}\:{Diagram} \\ $$$${for}\:{each}\:{posible}\:{out}\:{come} \\ $$