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22 March, 02:59

Consider two events such that P (A) = 1/4, P (B) = 2/3, and P (A ∩ B) = 1/5. Are events A and B independent events?

Yes, they are independent 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)

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

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Answers (1)
  1. 22 March, 03:05
    0
    P (A) = 1/4

    p (B) = 2/3

    p (A ∩ B) = 1/5

    p (A). p (B) = 2/12 = 1/6 ≠p (A ∩ B)

    thus no, they are dependent because P (A) ⋅ P (B) ≠ P (A ∩ B)
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