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Question

If P(E) and P(E’) are the probabilities of two complementary events, then which of the following is always true?


Your Answer
A
P(E)+P(E)=0
Correct Answer
B
P(E)+P(E)=1
Your Answer
C
P(E)=P(E)
Your Answer
D
P(E)+P(E)=12

Solution

The correct option is B P(E)+P(E)=1
In a random experiment, the probabilities of all possible events must total to 1,
which means some or the other outcome must occur on every trial.
Now, in a complementary event there are only two possible outcomes.
Thus,
P(E) + P(E’) = 1.
Or, the correct option is B.

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