ProbabilityHard
Question
If
and
are the complementary events of E and F respectively and if 0 < P (F) < 1 . then
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
/ F) = 1B.P(E / F) + P(E /
) = 1
) = 1C.P(
/ F) + P(E /
) = 1
/ F) + P(E /
) = 1D.P(E /
) + P(
/
) = 1
) + P(
/
) = 1Solution
(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.
/ 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(
/
)

= 1Therefore, (d) is true.
So, (a), (d) are the answers.
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