Why is B irrelevant to A on Question 2, 1)Draw the relevance diagram corresponding to the probability tree above.

C (A,B,C| &) = 0.2*0.5*0.2 = 0.02 B 0.2 0.5 0.8 A (A,B,C' |&) = 0.2*0.5*0.8 = 0.08 0.2 C (A,B',C| &) = 0.2*0.5*0.4 = 0.04 0.5 0.4 B' 0.6 (A,B',C'| &) = 0.2 0.5 0.6 = 0.06 C (A',B,C | &) = 0.8*0.5*0.6 = 0.24 B 0.6 0.5 0.4 C' [A',B,C'| &) = 0.8 0.5*0.4 = 0.16 0.8 A' C (A',B',C| &) = 0.8 0.5*0.8 = 0.32 0.5 0.8 B' 0.2 C' {A',B',C'|&) = 0.8*0.5*0.2 = 0.08 1) Draw the relevance diagram corresponding to the probability tree above, and write out the distributions corresponding to each distinction, as well as the joint distribution represented by the diagram. A B [B|&] C {CIA, B, &]