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Let H1, H2,..., Hn be mutually exclusiv...

Let `H_1, H_2,..., H_n` be mutually exclusive events with `P (H_i) > 0, i = 1, 2,.......... n.` Let `E` be any other event with `0 < P (E)` Statement I: `P(H_i|E) > P(E|H_i) .P(H_i)` for `i=1,2,.......,n` statement II: `sum_(i=1)^n P(H_i)=1`

A

Statement -1 is true , Statement -2 is true, Statement -2 is a correct explanation for Statement -1

B

Statement -1 is true , Statement -2 is true, Statement -2 is not a correct explanation for Statement -1

C

Statement -1 is true , Statement -2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

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The correct Answer is:
D
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