Please answer all

5. (10 pts) Suppose you have a shuffled deck of three cards: 2, 3, and 4. Assume the following: E; is the event that the ith card is even numbered. 0; is the event that the ith card is odd numbered. Answer the following: a. What are the corresponding probabilities for E1, E2, E3, 01, 02, and 03? b. What is the probability that the second card is even given that the first card is even? C. What is the probability that the first and third cards are even given that the second card is even? d. What is the probability that the second card is even given that the first card is odd? e. What is the probability that the second card is odd given that the first card is even