2.3.1 Label all statements below as true or false.

(i) If A is more likely to occur than A", then P ( A ) > 0.5.

(ii) If A occurs whenever B does, then P ( B ) 5 P ( A ) .

(iii) If P(A)5 P(B) ,th en whenever B occurs, A does also.

(iv) If P ( A ) = 0.75, then A must occur three times out of every four.

(v) The sum of probabilities of disjoint events A and B cannot exceed 1.

(vi) If A and B are not disjoint, the sum of their probabilities exceeds 1.
(vii) If P ( A fl B ) , P ( A n C), and P(B n C) are all positive, then P ( A fl B f l C) is also positive.
(viii) If sample spaces for two experiments are identical, then the probability of the same event A must be the same for both experiments.