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anonymous

  • one year ago

A student says that if P(A) = P(A|B), then A and B must be independent events. Is the student correct? Explain. Give a real life example that can be represented by P(A) = P(A|B).

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  1. amistre64
    • one year ago
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    what is your definition of independence?

  2. anonymous
    • one year ago
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    One event doesn't depend on the other?

  3. amistre64
    • one year ago
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    thats a little vague, how does it differ from mutually exclusive events?

  4. anonymous
    • one year ago
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    Mutually exclusive events cannot happen at the same time, but independent events can happen at the same time

  5. anonymous
    • one year ago
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    It's just that the probability of one event happening in no way affects the other happening

  6. amistre64
    • one year ago
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    correct so if the probability of an event happening, is the same for all cases ... then the probability of the event is independent of the circumstances spose there are 3 As that occur in a total of 5 Bs. P(A|B) read as, the probability of A given B, is 3/5 spose there are 6 As out of a universal set of 10 P(A|U), or simply P(A) , is 6/10 = 3/5 the probability of A is independent of the case it is a part of.

  7. amistre64
    • one year ago
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    if P(A) = P(A|B) = P(A|C) = P(A|D) = ... = P(A|K) then the probability of A is the same, for all given cases, and its value does not depend on any one specific case.

  8. anonymous
    • one year ago
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    okay, that makes sense, thank you

  9. amistre64
    • one year ago
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    good luck :)

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