the first outcome is one of X and Y the second outcome is one of A and B if the first outcome is X, and one of A, B, and C if the first outcome is Y. Pr[X]=0.4Pr[X]=0.4Pr[Y]=0.6Pr[Y]=0.6Pr[A|X]=0.5Pr[A|X]=0.5Pr[B|X]=0.5Pr[B|X]=0.5Pr[A|Y]=0.3Pr[A|Y]=0.3Pr[B|Y]=0.2Pr[B|Y]=0.2Pr[C|Y]=0.5 (1) Pr[A]= (2) Pr[X|A]=Pr[X|A]=  (3) Pr[Y|B]= (4) Pr[B|Y]=

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