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Question:

Complete the following statements:
(i) Probability of an event E + Probability of the event not E=______.
(ii) The probability of an event that cannot happen is _____. Such an event is called _____.
(iii) The probability of an event that is certain to happen is _____. Such an event is called ______.
(iv) The sum of the probabilities of all the elementary events of an experiment is _____.
(v) The probability of an event is greater than or equal to _____ and less than or equal to ______.

Solution:

(i) Probability of event E and probability of event not E=P(E)+P(¬E)=1
(ii) Probability of an event that cannot happen is zero (0). Such an event is called Impossible Event.
(iii) The probability of an event that is certain to happen is 1. Such an event is called sure or certain event.
(iv) The sum of the probabilities of all the elementary events of an experiment is Σᵢ=₁P(Eᵢ)=1
(v) The probability of an event is greater than or equal to zero (0), impossible event and less than or equal to 1, sure or certain event.