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anonymous

  • one year ago

So which notation do I use? Which of the following is the appropriate notation when calculating conditional probabilities?

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    And is 'union' interchangeable with 'and'?

  3. Michele_Laino
    • one year ago
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    no, since "union" is interchangeable with "or"

  4. anonymous
    • one year ago
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    So that would be the upside union sign then?

  5. Michele_Laino
    • one year ago
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    "intersection" is interchangeable, with "and", and its symbol is the upside union symbol

  6. anonymous
    • one year ago
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    Okay, so then can I eliminate option B as a possible answer?

  7. Michele_Laino
    • one year ago
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    yes!

  8. anonymous
    • one year ago
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    Sweet! And also A as it has a union sign or no?

  9. Michele_Laino
    • one year ago
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    in order to compute the conditional probability, we can eliminate the first two options

  10. phi
    • one year ago
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    To answer this one, you need to know the definition of conditional probability some of the choices are correct, but not related to conditional probability

  11. anonymous
    • one year ago
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    Okay, thanks.

  12. anonymous
    • one year ago
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    Oh, the answer is C Because it needs to be over P(A) not P(B) which in this case is C and D, respectively.

  13. anonymous
    • one year ago
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    Correct?

  14. Michele_Laino
    • one year ago
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    I think that C is not the answer since the conditional probability involves the probabilities of 2 correlated or uncorrelated distinct events

  15. anonymous
    • one year ago
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    Oh, you're right. It would be over P(C) if C was the second term. But it is P(C | D) not P(C | C). I get it, thank you @Michele_Laino

  16. phi
    • one year ago
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    P(C | D ) means probability of C given that D occurs it is the intersection of C and D divided by the chance of D occuring

  17. Michele_Laino
    • one year ago
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    :)

  18. anonymous
    • one year ago
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    *not P(D | C)

  19. Michele_Laino
    • one year ago
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    the definition of conditional probability is: \[P\left( {C \cap D} \right) = P\left( D \right)P\left( {C|D} \right)\] namely the probability for intersection, is equal to the probability of the first event D times the probability of the other event C, when D is occurred

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