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Probability Theory

  • Thread starter FrogPad
  • Start date
  • #1
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If A and B are independent, prove that [itex] \bar A [/itex], [itex] \bar B [/itex] are independent.

Could someone help me start this. It's due tomorrow. I managed to prove that [itex] \bar A [/tex] is independent with [itex] B [/itex] and that [itex] \bar B [/itex] is independent with [itex] A [/itex], but I can't get the last one (the question I put above). Just a little nudge would be good. I've been going in circles trying stuff, from De Morgans law, to every identity I can think of.

Thanks
 

Answers and Replies

  • #2
123
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What are you using as the definition that A and B are independent?
 
  • #3
809
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What are you using as the definition that A and B are independent?

For A and B being independent,
P[AB]=P[A]P
 
  • #4
809
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The professor posted the solution. Later :)
 

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