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Probability question

2007 · Shift 1 · Q32

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PYQ Library
JEE Advanced
Mathematics
Probability
2007 · Shift 1 · Q32

Probability question

2007 · Shift 1 · Q32

JEE AdvancedMathematicsProbabilityMCQ+3 / −1

Let H

_1

, H

_2

, ..., H

_n

be mutually exclusive and exhaustive events with P(H

_i

) > 0, i = 1, 2, ..., n. Let E be any other event with 0 Statement 1 : P(H

_i

| E) > P(E | H

_i

). P(H

_i

) for

i=1,2,...,n

. Statement 2 :

\sum\limits_{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

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