anonymous
  • anonymous
So which notation do I use? Which of the following is the appropriate notation when calculating conditional probabilities?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
And is 'union' interchangeable with 'and'?
Michele_Laino
  • Michele_Laino
no, since "union" is interchangeable with "or"

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anonymous
  • anonymous
So that would be the upside union sign then?
Michele_Laino
  • Michele_Laino
"intersection" is interchangeable, with "and", and its symbol is the upside union symbol
anonymous
  • anonymous
Okay, so then can I eliminate option B as a possible answer?
Michele_Laino
  • Michele_Laino
yes!
anonymous
  • anonymous
Sweet! And also A as it has a union sign or no?
Michele_Laino
  • Michele_Laino
in order to compute the conditional probability, we can eliminate the first two options
phi
  • phi
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
anonymous
  • anonymous
Okay, thanks.
anonymous
  • anonymous
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.
anonymous
  • anonymous
Correct?
Michele_Laino
  • Michele_Laino
I think that C is not the answer since the conditional probability involves the probabilities of 2 correlated or uncorrelated distinct events
anonymous
  • anonymous
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
phi
  • phi
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
Michele_Laino
  • Michele_Laino
:)
anonymous
  • anonymous
*not P(D | C)
Michele_Laino
  • Michele_Laino
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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