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Bolean Algebra

  1. Apr 4, 2008 #1
    [SOLVED] Bolean Algebra

    The failure of a subsea compressor system is described by the following Boolean
    Algebra statement:
    F = A UBU(CUD)
    If P[A] = 0.01; P = 0.0034; P[C] = 0.00067; P[D] = 0.002, calculate the probability
    P[F] given independence between A,B,C,D.

    I have tried to use the associative expression to solve this but my answer is different from the given answer of .013367
  2. jcsd
  3. Apr 4, 2008 #2


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    Welcome to PF!

    Hi abba02! Welcome to PF! :smile:

    (btw, this probably ought to be in the coursework and homework section)

    Show us your attempt, and then we'll know how to help you. :smile:

    [And are you sure it's not F = A UBU(C∩D)?]
  4. Apr 5, 2008 #3
    My attempts to solve the problem

    It is F = AUBU(CUD)
    I had derived the below using the associative law. But after plugging in the values of A,B,C and D , my answer were still different from the given answer.
    P(A) +P(B) +P(CUD)-P[A]P-P[A]P[CUD]-PP[CUD]+P[A]PP[CUD]
    Last edited: Apr 5, 2008
  5. Apr 5, 2008 #4


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    … looks good to me …

    Hi abba02! :smile:

    Yes, your method looks good to me! :smile:

    (though it would be quicker to say P(notF) = P(notA)P(notB)P(notCUD))

    ok, now try it with f = A UBU(C∩D), and see what you get.
  6. Apr 5, 2008 #5
    Thanks, With your advise, I have got the solution to the problem. I think that the problem must have been stated wrongly.
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