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 …....

To do:

We have to fill in the blanks.

Solution:

(i) The sum of the probabilities of an event and its complement is 1.

Therefore, the probability of an event \( E+ \) Probability of event 'not \( E'=1 \).

(ii) The probability of an event that cannot happen is $0$. 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 event.

(iv) The set of all possible outcomes of an experiment is called the sample space of that experiment.

Therefore,

The sum of the probabilities of all the elementary events of an experiment is $1$.

(v) The probability of an event is greater than or equal to $0$ and less than or equal to $1$.