Please tell me all the correct letter choices

Lorinda has 10 books on her bookshelf. 6 of these books have blue covers, and 4 have red covers 3 of the blue books are mystery novels, and 3 are fantasy novels. 2 of the red books are mystery novels, and 2 are fantasy novels. Lorinda closes her eyes and randomly selects a book from her bookshelf. Let A be the event that she selects a blue book and B be the event that the book is a fantasy novel. Which of the following statements are true? Choose all answers that apply: A P(A | B) = P(A), the conditional probability that Lorinda selects a blue book given that she has chosen a fantasy novel is equal to the probability that Lorinda selects a blue book. B P(B | A) = P(B), the conditional probability that Lorinda selects a fantasy novel given that she has chosen a blue book is equal to the probability that Lorinda selects a fantasy novel. C Events A and B are independent events. D The outcomes of events A and B are dependent on each other. P(A and B) = P(A) . P(B), the probability that Lorinda selects a book that is blue and a fantasy novel is equal to the probability that Lorinda selects a blue book multiplied by the probability that she selects a fantasy novel