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If P (A|B) > P (A), then which of the following is correct: - Mathematics

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प्रश्न

If P (A|B) > P (A), then which of the following is correct:

विकल्प

  • P(B|A) < P(B)

  • P(A ∩ B) < P(A) . P(B)

  • P(B|A) > P(B)

  • P(B|A) = P(B)

MCQ

उत्तर

P(B|A) > P(B)

Explanation:

P(A|B) > P(A)

⇒ `(P(A ∩ B))/(P(B)) > P(A)`

∴ P(A ∩ B) > P(A) . P(B)

or `(P(A ∩ B))/(P(A)) > P(B)`

⇒ `P(B|A) > P(B)`

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अध्याय 13: Probability - Exercise 13.6 [पृष्ठ ५८४]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
अध्याय 13 Probability
Exercise 13.6 | Q 18 | पृष्ठ ५८४

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