A and B are independent events such that the
occurrence of Event A does not change the
probability of Event B. P(a) is the probability that
event A will occur. P(A ∪ B) is the probability that
Event A or Event B occurs. P(A ∩ B) is the
probability that both Event A and Event B occur.
Which of the following must be false?
A. P(A) + P(B) ≤ 2
B. P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
C. P(A) < 1
D. P(A ∪ B) = P(A) + P(B)
E. P(A ∩ B) + P(A ∪ B) ≤ 2