In the following diagram complete the probabilities of the four different scenarios. sones I B 0.6 0. 18 A . . ....... 0.3 0.4 B' B 0.7 0.2 81. 14 A ' 0.8 B' 1.86 total = 1 (a) Write down the following probabilities P(A) 6 . 3 P( A') 0 . 7 P( AnB ) 0. 3/ case J nt alla ay walsT P(AnB') 0 . 3 / 0 9 P(A'nB) P( A'nB') (b) Calculate the following probabilities 0.8 P(B) 12 = 6.4 P(B ) 10 2 / 2 = 0. 6 P(AUB ) 0. 3+ 0 08 - 0.3%.8 (c) Write down the following conditional probabilities P(B| A) 0.8/ 0.3 P(B'I A) 8 .3 P (BIA ' ) 0. 8 / P (B' | A' ) (d) Calculate the following conditional probabilities 0. 3 P(A | B)