For an event $E$ and its complement $\overline{E}$ (not E),
A$P(E) + P(\overline{E}) = 0$
B$P(E) = P(\overline{E})$
C$P(E) + P(\overline{E}) = 1$
D$P(E) - P(\overline{E}) = 1$
Answer & Solution
Correct answer: C. $P(E) + P(\overline{E}) = 1$
1. Either the event happens or it does not.
2. So $P(E) + P(\overline{E}) = 1$, i.e. $P(\overline{E}) = 1 - P(E)$.
3. This is the complement rule.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch14 'Probability', §14.1_
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