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

Mathematics · JEE Advanced · NTA Exams — Statistics and Probability

If \(\overline{\mathrm{E}}\)and \(\overline{\mathrm{F}}\)are the complementary events of E and F respectively and if 0 < P (F) < 1, then

P (E/F) + P(\(\overline{\mathrm{E}}\)/F) = 1
P (E/F) + P(E/\(\overline{\mathrm{F}}\)) = 1
P (\(\overline{\mathrm{E}}\)/F) + P(E/\(\overline{\mathrm{F}}\)) = 1
P (E/\(\overline{\mathrm{F}}\)) + P(\(\overline{\mathrm{E}}\)/\(\overline{\mathrm{F}}\)) = 1

Answer

(A) P (E/F) + P( E /F) = 1, (D) P (E/ F ) + P( E / F ) = 1

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