Fill in the blanks:
(i) The probability of an impossible event is...
(ii) The probability of a sure event is ..... .
(iii) For any event E, P(E) + P(not E) = .....
(iv) The probability of a possible but not a sure event lies between and ..... .
(v) The sum of probabilities of the outcomes of an experiment is..... .
(i) 0
The probability of an impossible event is zero because probability is likelihood of a given event's occurrence, which is expressed as a number between 0 and 1.
(ii) 1
The probability of a sure event is always 1 as the event may occur or may not occur and if its sure to occur there is only 1 probability for same.
(iii) 1
P(E) = 1/2 and P(not E) = 1/2 adding the two gives 1 because P(not E) is complement of event E.
(iv) 0, 1
The probability of a possible but not a sure event lies between 0 and 1 as an event is possible but not sure to occur. It may occur and may not occur.
(v) 1
The probability of the outcome of an experiment is one because an experiment may succeed or fail. P (E) + P(not E) = 1