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A, B and C are mutually independent $\rightarrow$ P (A $\cap$ B $\cap$ C) = P (A) P (B) P (C). True or False?

related to an answer for: Evaluate P ((E $\cup$ F)|G)?

1 Answer

Answer: False.

For it to hold true all of the following conditions must hold true:

P (A ∩ B) = P (A) P (B)
P (A ∩ C) = P (A) P (C)
P (B ∩ C) = P (B) P (C)
and P (A ∩ B ∩ C) = P (A) P (B) P (C)
answered Apr 18, 2013 by balaji.thirumalai