Regarding the rules of probability, which of the following statements is correct?
A)If A and B are independent events, then P(B) = P(A)P(B).
B)The sum of two mutually exclusive events is one.
C)The probability of A and its complement will sum to one.
D)If event A occurs, then its complement will also occur.

Question

Quizplus · Accepted Answer

This statement, "The probability of A and its complement will sum to one", is correct according to the rules of probability. The complement of an event A is the event that A does not occur, and the sum of the probabilities of A and its complement equals 1. Option A is incorrect as the formula P(B) = P(A)P(B) is only true for independent events when the occurrence of one does not affect the probability of the other. Option B is incorrect because the sum of probabilities of two mutually exclusive events is their union, which can be less than 1. Option D is incorrect because the occurrence of A and its complement cannot both happen simultaneously.

Regarding the Rules of Probability, Which of the Following Statements