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 ______.

Answer 1

(i) Probability of event $E$ and probability of event not $E=P\left(E\right)+P\left(\overline{E}\right)=\text{1}$

(ii) Probability of ab event that cannot happen is $\text{zero (0)}$, Such an event is called $\text{Impossible Events}$.

(iii) The probability of an event that is certain to happen is $\text{1}$. Such an event is called $\text{sure or certain event}$.

(iv) The sum of the probabilities of all the elementary events of an experiment is $\sum _{i=1}^{n}P\left(E_i\right)=\text{1}$.

(v) The probability of an event is greater than or equal to $\text{zero(0), impossible event}$ and less than or equal to $\text{1, sure or certain event}$.