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 ______.
1
0; impossible event
1; sure event
1
0; 1
Explanation
The answers are based on the fundamental axioms and properties of probability provided in the context. For any event E, the sum of its probability and the probability of its complement 'not E' is always 1. The probability of an impossible event is 0, while the probability of a sure or certain event is 1. The sum of probabilities of all elementary events of an experiment is always 1. Finally, the probability of any event is always a number between 0 and 1, inclusive.