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Check whether the following probabilities P(A) and P(B) are consistently defined P(A) = 0.5, P(B) = 0.7, P(A ∩ B) = 0.6

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Question

Check whether the following probabilities P(A) and P(B) are consistently defined

P(A) = 0.5, P(B) = 0.7, P(A ∩ B) = 0.6

Sum
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Solution

Given: P(A) = 0.5, P(B) = 0.7, P(A ∩ B) = 0.6

∴ Here, P(A ∩ B) = 0.6 > P(A)

Hence, P(A) and (B) are not consistently defined.

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Chapter 14: Probability - EXERCISE 14.2 [Page 307]

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NCERT Mathematics [English] Class 11
Chapter 14 Probability
EXERCISE 14.2 | Q 12. (i) | Page 307

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