ProbabilityHard

Question

If and are the complementary events of E and F respectively and if 0 < P (F) < 1 . then

Options

A.P(E / F) + P( / F) = 1
B.P(E / F) + P(E / ) = 1
C.P( / F) + P(E / ) = 1
D.P(E / ) + P( / ) = 1

Solution

(a) P(E / F) + P( / F)
     
Therefore (a) is correct.
(b) P(E / F) + P(E / )
     
Therefore, (b) is not correct.
(c) P( / F) + P(E / ) =
     
Therefore, (c) is not the answer.
(d) P(E / ) + P( / )
     
      = 1
Therefore, (d) is true.
So, (a), (d) are the answers.

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