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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)?
class12
cbse
ch13
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asked
Apr 18, 2013
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balaji.thirumalai
retagged
Dec 7, 2013
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1 Answer
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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
If P (F | E) = P (F), provided P (E) ≠ 0, then which of the following is true about E and F? a) E and F are mutually independant, b) E and F are mutually exclusive, c) E and F are neither mutually exclusive nor independant, d) E and F are both mutually exclusive and independant?
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For any two events A and B, P(A $\cap$ B) + P (A $\cup$ B) = P(A) - P(B). True or Fale?
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If P (F | E) = P (F), provided P (E) ≠ 0, then which of the following is true about E and F? a) E and F are mutually independant, b) E and F are mutually exclusive, c) E and F are neither mutually exclusive nor independant, d) E and F are both mutually exclusive and independant?
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