A and B are two events. Which statement about the conditional probability is true?

A. The conditional probability of event B given event A is P (B|A) = P (A and B) / P (A) when two events are not independent.

B. The conditional probability of event B given event A is P (B|A) = P (B) when two events are not independent.

C. The conditional probability of event B given event A is P (B|A) = P (B) / P (A) when two events are independent.

D. The conditional probability of event B given event A is P (B|A) = P (A) / P (B) when two events are independent.

Question

Serrano

Mathematics

17 December, 08:44

A and B are two events. Which statement about the conditional probability is true?

A. The conditional probability of event B given event A is P (B|A) = P (A and B) / P (A) when two events are not independent.

B. The conditional probability of event B given event A is P (B|A) = P (B) when two events are not independent.

C. The conditional probability of event B given event A is P (B|A) = P (B) / P (A) when two events are independent.

D. The conditional probability of event B given event A is P (B|A) = P (A) / P (B) when two events are independent.

+5

Answers (1)

Know the Answer?

Makenna Reilly · Answer 1

The answer

by using fundamental definition

The conditional probability of event B given event A is P (B|A) = P (A and B) / P (A) when two events are not independent.

so the only true answer is A, because P (B|A) = P (A) if A and B are independents

(definition)