Question

prove that P(E) P(Ē)=1

Answer 1

There is nothing to prove here. It's simple and logical. If an event like the sunrise of sun is a universal true event which is a certain event to happen.
Thus the probability is 1. and if an event is sure not to occur then it's probability to occur is 0. However, if in an event there is not purity or sure thinking of the event then there might be chances of either it's occuring or not occuring.
THUS
P OF HAPPENING + P OF NOT HAPPENING = 1
P[E]+P[_E] = 1.

Answer 2

Answer:

The probability of happening of an event always lies 0 to 1 and in percentage it lies 0 % to 100 % .

The sum of all the probabilities of all possible outcomes of experiment is 1.

P(Event) + P (not an Event) = 1.

Probability of an event can never be negative.Probability of an event never be greater than 1.

SOLUTION:

Here understanding and logical reasoning  value is depicted.

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