(i. If there is absolutely no chance a person will purchase a new car this year, the probability assigned to this event is zero. (ii) If the set of events are collectively exhaustive and mutually exclusive, the sum of the probabilities equals 1.
(iii) Suppose four heads did appear face up on the toss of a coin four times. The probability that a head will appear face up in the next toss of the coin is 1/2 or 0.5.
A) (i), (ii) and (iii) are all correct statements
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (ii) and, (iii) are correct statements but not (i).
E) (i), (ii) and (iii) are all false statements.

Question

Quizplus · Accepted Answer

(i) is correct as the probability of an event that is impossible is zero. 
(ii) is correct because, in any set of mutually exclusive and collectively exhaustive events, the total probability must add up to 1. 
(iii) is correct because the outcome of a coin toss is independent of past outcomes, so the probability of getting heads in the next toss is always 1/2 or 0.5, regardless of previous outcomes.

(I If There Is Absolutely No Chance a Person Will