Statements on Probability

CMAT 2023 · QTDI · Hard · Probability

Given below are two statements:

Statement I: Let A and B be two events such that P(A)=0.6P(A) = 0.6, P(B)=0.2P(B) = 0.2 and P(AB)=0.5P(AB) = 0.5. Then P(ACBC)=310P(A^C B^C) = \frac{3}{10}

Statement II: Let A and B be two events such that P(A)=0.2P(A) = 0.2, P(B)=0.4P(B) = 0.4 and P(AB)=0.6P(A \cup B) = 0.6. Then P(AB)=310P(AB) = \frac{3}{10}

In the light of the above statements choose the most appropriate answer from the options given below:

  1. A.

    Both Statement I and Statement II are correct

  2. B.

    Both Statement I and Statement II are incorrect

  3. C.

    Statement I is correct but Statement II is incorrect

  4. D.

    Statement I is incorrect but Statement II is correct

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