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Two events A and B are said to be mutually exclusive if A $\cap$ B = ?
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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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asked
Apr 18, 2013
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balaji.thirumalai
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Dec 7, 2013
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1 Answer
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Answer: A $\cap$ B = $\phi$
answered
Apr 18, 2013
by
balaji.thirumalai
If n is the number of distinct elements in a sample space and m is the number of outcomes favorable to an event E, then express P(E') in terms of m and n.
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According to Bayes Theorem, if $E_1, E_2, E_3.....E_n$ are a set of mutually exclusive and exhaustive events, then what is P$\large (\frac{E_i}{E})$?
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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?
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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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If A and B are mutually exclusive, then P(A$\cup$B) = P(A) + P(B). True or False?
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