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Given-that-A-and-B-are-two-independent-Events-where-P-A-4-5-and-P-A-B-13-5-find-a-P-A-B-b-P-A-B-hence-draw-tree-Diagram-for-each-posible-out-come-




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

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