Let H 1 , H 2 , ..., H n be mutually exclusive and exhaustive events with P ( H i ) > 0…
Mathematics · JEE Advanced · NTA Exams — Statistics and Probability
Let H1, H2, ..., Hn be mutually exclusive and exhaustive events with P(Hi) > 0, i = 1, 2, ..., n. Let E be any other event with 0 < P(E) < 1.
Assertion (A) : P(Hi | E) > P(E | Hi) ⋅ P(Hi) for i = 1, 2, ... n.
Reason (R) : \(\sum_{i=1}^{n} P\left(H_{i}\right)=1\).
Assertion (A) : P(Hi | E) > P(E | Hi) ⋅ P(Hi) for i = 1, 2, ... n.
Reason (R) : \(\sum_{i=1}^{n} P\left(H_{i}\right)=1\).
- Both (A) and (R) are true and (R) is the correct explanation of (A)
- Both (A) and (R) are true but (R) is not the correct explanation of (A)
- (A) is true but (R) is false
- (A) is false but (R) is true
Answer
(B) Both (A) and (R) are true but (R) is not the correct explanation of (A)
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