QJEEAdv07Maa8e2: JEE Advanced 2007 Mathematics - Class 12 JEEAdv07Maa8e2 Solution: Let be mutually exclusive and exhaustive events with Let be any …

Question

Verified Solution • 2025–26 Session moderate

Let

{H_1},{H_2},....,{H_n}

be mutually exclusive and exhaustive events with

P\left( {{H_1}} \right) &gt; 0,i = 1,2,.....,n.

Let

E

be any other event with

0 &lt; P\left( E \right) &lt; 1.

STATEMENT-1:

P\left( {{H_1}|E} \right) &gt; P\left( {E|{H_1}} \right).P\left( {{H_1}} \right)

for

i=1,2,....,n

because

STATEMENT-2: $\sum\limits_{i = 1}^n {P\left( {{H_i}} \right)} = 1.$

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

Accepted Answer

Answer

No answer available for this question.