Question 54

Let $$H_1, H_2, ...., H_n$$ be mutually exclusive and exhaustive events with $$P(H_i) > 0, i = 1, 2, 3, ...., n$$. Let E be any other event with $$0 < P(E) < 1$$.
STATEMENT-1: $$P(H_i \mid E) > P(E \mid H_i).P(H_i)$$ for i = 1, 2, ..., n.
because
STATEMENT-2: $$\sum_{i=1}^n P(H_i) = 1$$


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