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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 - Mathematics

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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Solution

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

It is known that if E and F are two events such that E ⊂ F, then P(E) ≤ P(F).

However, here, P(A ∩ B) > P(A).

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

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 16 Probability
Q 12.1 | Page 405
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