5. Derive the following conditional version of total probability. Let Q be a probability space with prob- ability function, Pr [-]. Let A1 and A2 be a partition of Q. Show that for any event E and event A0 such that Pr [A0] 7% 0, PI'[E|AQ] :Pr[E|A0A1]PI'[A1|A0]+PF[E|AQ 0A2]P1' [Agle]