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JEE Advance2007
Paper-1
Question
Let $\mathrm{H}_1, \mathrm{H}_2, \ldots, \mathrm{H}_{\mathrm{n}}$ be mutually exclusive and exhaustive events with $\mathrm{P}\left(\mathrm{H}_{\mathrm{i}}\right)>0, \mathrm{i}=1,2, \ldots, \mathrm{n}$. Let E be any other ev with $0<\mathrm{P}(\mathrm{E})<1$. STATEMENT -1 : $\mathrm{P}\left(\mathrm{H}_{\mathrm{i}} \mid \mathrm{E}\right)>\mathrm{P}\left(\mathrm{E} \mid \mathrm{H}_{\mathrm{i}}\right) . \mathrm{P}\left(\mathrm{H}_{\mathrm{i}}\right)$ for $\mathrm{i}=1,2, \ldots, \mathrm{n}$ because STATEMENT -2 : $\sum_{\mathrm{i}=1}^{\mathrm{n}} \mathrm{P}\left(\mathrm{H}_{\mathrm{i}}\right)=1$
Select the correct option:
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
✓ Correct! Well done.
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