Multiple Choice Questions on For two events A and B let P A 1 2 P A B 2 3 and P A B 1 6 What is P B equal to ........ for NDA Exam Preparation

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Multiple Choice Questions

For two events A and B let P A 1 2 P A B 2 3 and P A B 1 6 What is P B equal to ........

Mathematics (NDA) Set theory
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    For two events A and B, let P(A) =1/2, P(A \cup B) =2/3 and P(A \cap B) =1/6

    What is P (\overline{A}\cap B) equal to ?

    1/6

    Correct Answer

    1/4

    Incorrect Answer

    1/3

    Incorrect Answer

    1/2

    Incorrect Answer
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    Explanation:

    For two events A and B, let P(A) =1/2, P(A \cup B) =2/3 and P(A \cap B) =1/6
    What is P (\overline{A}\cap B) equal to ?
    P(A \cup B) =P(A) + P(B) – P(A \cap B)
    P(B)=2/3 -1/2+1/6=1/3
    so, P (\overline{A}\cap B) =1/3 -1/6=1/6

    By: Munesh Kumari
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