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Byju's Answer
Standard XII
Mathematics
Complement of an Event
PE + PNot E=...
Question
P
(
E
)
+
P
(
Not
E
)
=
_____.
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Solution
If
p
is the probability of an event happening, then the probability that the event does not happen will be
1
−
p
.
∴
P
(
E
)
+
P
(
Not
E
)
=
p
+
(
1
−
p
)
=
1
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Similar questions
Q.
Fill in the blanks.
(i) Probability of an impossible event = ........ .
(ii) Probability of a sure event = ........ .
(iii) Let E be an event. Then, P(not E) = ......... .
(iv) P(E) + P(not E) = ........ .
(v) ....... ≤ P(E) ≤ ....... .
Q.
If P(E) = 0.05, then P(not E) =
(a) −0.05
(b) 0.5
(c) 0.9
(d) 0.95