(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 0.
(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 because in probability, an event that cannot possibly happen has a probability of 0. (iii) is correct because the probability of getting heads on a coin toss is always 1/2, regardless of previous outcomes, due to the independence of each toss. (ii) is incorrect because if events are collectively exhaustive and mutually exclusive, their probabilities must sum to 1, not 0.

(I If There Is Absolutely No Chance a Person Will