(i. When the special rule of multiplication is used events A and B must be independent. (ii) A probability is subjective if it is based on a person's degree of belief and hunches that a particular event will happen.
(iii) If there are five vacant parking places and five automobiles arrive at the same time, they can park in 25 different ways.
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) (i) and, (ii) are correct statements but not (iii).
E) (i), (ii) and (iii) are all false statements.

Question

Quizplus · Accepted Answer

(i) is false because the special rule of multiplication applies to independent events, but it's not a requirement for events to be independent to use multiplication in probability; it's specifically for calculating the probability of two independent events occurring together. (ii) is true as subjective probability is indeed based on personal belief or estimation regarding the likelihood of an event. (iii) is false because the correct number of ways five automobiles can park in five vacant places is calculated using permutations, which is 5! (5 factorial), equal to 120, not 25.

(I When the Special Rule of Multiplication Is Used Events