1.
Let H1,H2,,HnH_1, H_2, \ldots, H_n be mutually exclusive events with P(Hi)>0P(H_i) > 0, i=1,2,,ni = 1, 2, \ldots, n. Let EE be any other event with 0<P(E)<10 < P(E) < 1.
Statement I: P(Hi/E)>P(E/Hi)P(Hi)P(H_i/E) > P(E/H_i)P(H_i) for i=1,2,,ni = 1, 2, \ldots, n.
Statement II: i=1nP(Hi)=1\sum_{i=1}^n P(H_i) = 1