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Kevin
Kevin asked in Science & MathematicsMathematics · 2 years ago

How do I find the following probabilities?

P(A|A ∪ B)

P(A|A ∩ B)

P(A ∩ B|A ∪ B)

2 Answers

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  • MyRank
    Lv 6
    2 years ago

    P(A/AB) = P(A (AB)) / P(AB)

    P(A/AB) = P(A(AB)) / P(AB)

    P(AB/AB) = P(AB)  (AB) / P(AB).

    Source(s): http://myrank.co.in/
  • Dixon
    Lv 7
    2 years ago

    P(Q I S) means reduce your world down to just S. What fraction of it is Q?

    And it is Q/S

    P(A|A ∪ B) = A/(A ∪ B)

    P(A|A ∩ B)

    Even in words the probability of A given the intersection of A and B is clearly 1.

    P(A ∩ B|A ∪ B) = (A ∩ B)/(A ∪ B)

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