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Libniz

  • 3 years ago

if C and D are independent are C^c and D^c independent

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  1. Zarkon
    • 3 years ago
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    yes

  2. Zarkon
    • 3 years ago
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    so are C^c and D also C and D^c

  3. Zarkon
    • 3 years ago
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    no...you can prove it

  4. Zarkon
    • 3 years ago
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    let me use ' for complement P(C',D')=1-P(C or D) =1-P(C)-P(D)+P(C,D) =1-P(C)-P(D)+P(C)P(D) =1-P(C)-P(D)(1-P(C)) =(1-P(C))(1-P(D)) =P(C')P(D') hence they are independent

  5. Libniz
    • 3 years ago
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    thanks

  6. Zarkon
    • 3 years ago
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    no problem

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