Libniz
if C and D are independent
are C^c and D^c independent
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Zarkon
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yes
Zarkon
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so are C^c and D
also
C and D^c
Zarkon
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no...you can prove it
Zarkon
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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
Libniz
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thanks
Zarkon
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no problem