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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`

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Knowledge Check

  • Let H_(1),H_(2), . . . ,H_(n) be mutually exclusive and exhaustive events with P(H_(i)) gt 0,i=1,2, . . .n . Let E be any other event with 0 lt P(E) lt 1 . STATEMENT-1: P(H_(i)|E) gtP(E|H_(1)).P(H_(i)) for i=1,2, . . .,n because STATEMENT-2: sum_(i=1)^(n)P(H_(i))=1

    A
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    B
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