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8 June, 21:22

Consider two events such that P (A) = 3 / 5, P (B) = 4 / 7, and P (A∩B) = 12 / 35. Are events A and B independent events?

No, they are dependent because P (A) * P (B) ≠P (A∩B)

No, they are dependent because P (A) * P (B) = P (A∩B)

Yes, they are independent because P (A) * P (B) ≠P (A∩B)

Yes, they are independent because P (A) * P (B) = P (A∩B)

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  1. 8 June, 21:27
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    option D

    Yes, they are independent because P (A) * P (B) = P (A∩B)

    Step-by-step explanation:

    Given in the question,

    p (A) = 3/5

    p (B) = 4/7

    p (A∩B) = 12/35

    If two events A and B are independent then,

    P (A n B) = P (A). P (B)

    12/35 = 3/5. 4/7

    12/35 = 12/35

    Hence, events A and B independent events
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