Need help with a finite mathematics question about "Probability"

timer Asked: Nov 24th, 2015
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Question Description

4.True or false. P(E) + P(Ec) = 1.

* Please clarify response if statement is false.

Tutor Answer

School: New York University


I suppose Ec is "not E".

Then the equation is true: E and Ec have empty intersection,
therefore P(E)+P(Ec)=P(E or Ec),
and (E or Ec) cover entire space, so P(E or Ec)=P(entire space)=1.

Please ask if something is unclear.

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Excellent job

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