Home › Karnataka SSLC (Class 10) › Mathematics › Probability › For an event $E$ and its complement $\overline{E…
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_
Related questions
A bag holds 5 red beads and 3 blue beads. One bead is drawn and its colour noted, then it A four digit PIN is made from the digits 0 to 9. How many more PINs are possible if digitsTwo events are known to be mutually exclusive. What does that tell you about whether they Why is the fundamental counting principle used instead of a tree diagram for large problemTwo events are described as independent. What does that mean?What does it mean for two events to be mutually exclusive?On a given day the chance of rain is 0.4. When it rains, the chance a match is called off Two ordinary six-sided dice are rolled. What is the probability that the two numbers add u