please help this probability and statistics qwuestions with clear steps and details, thanks

Question 3 20 marks In a probability experiment, 2 cards are selected from an ordinary deck of 52 cards one after the other without replacement. Consider the following four events of the probability experiment. E, : Both cards are not diamond. E2: Only one of the cards is a diamond. E3: At least one card is a diamond. Ex: The first card is not a diamond. (a) Find the following probabilities. Correct your answers to 3 decimal places. (i) P(E2 or E3) (4 marks) (ii) P(Ez and E4) (4 marks) (iii) P(E1 | E4) (4 marks) (b) Determine if the following pairs of events are mutually exclusive and/or complementary. (8 marks) (i) E1, E3 (ii) Ez, E4