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(Created page with "If <math>A</math> and <math>B</math> are independent, which of the following is true? <ul class="mw-excansopts"> <li> <math>A</math> and <math>B^c</math> are also independent </li> <li> <math>A^c</math> and <math>B^c</math> are not independent. </li> <li> <math>A^c</math> and <math>B</math> are not independent. </li> <li> <math>A\cap B</math> is independent of <math>A</math>. </li> <li> <math>P(A\cup B) = P(A) + P(B)</math>. </li> </ul>")
 
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If <math>A</math> and <math>B</math> are independent, which of the following is true?
If <math>A</math> and <math>B</math> are independent, which of the following is always true?


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Latest revision as of 03:55, 21 June 2024

If [math]A[/math] and [math]B[/math] are independent, which of the following is always true?

  • [math]A[/math] and [math]B^c[/math] are also independent
  • [math]A^c[/math] and [math]B^c[/math] are not independent.
  • [math]A^c[/math] and [math]B[/math] are not independent.
  • [math]A\cap B[/math] is independent of [math]A[/math].
  • [math]P(A\cup B) = P(A) + P(B)[/math].