Which of the following may be true if $A$ and $B$ are dependent events? A) $P(A \cup B)1$ B) $P(A)+P(B)1$ C) $P(A \cap B)

Question

Which of the following may be true if $A$ and $B$ are dependent events?
A) $P(A \cup B)>1$
B) $P(A)+P(B)>1$
C) $P(A \cap B)<0$
D) $P(A \mid B)=P(A)$

Quizplus · Accepted Answer

Dependent events mean the occurrence of one event affects the probability of the occurrence of another event. However, the sum of their individual probabilities can be greater than 1, especially if there is an overlap (intersection) between them. Options A, C, and D are incorrect because the probability of any event cannot be greater than 1 (A), cannot be negative (C), and the probability of A given B is not equal to the probability of A if they are dependent (D).

Which of the Following May Be True If AAA And BBB Are Dependent Events? A)

Which of the Following May Be True If $A$ And $B$ Are Dependent Events?
A)