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. E1: Both cards are not diamond. 525 Only one of the cards is a diamond. E3: At least one card is a diamond. E4: The rst 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(E2 and E4) (4 marks) (iii) P(E1 | E4) (4 marks) (1)) Determine if the following pairs of events are mutually exclusive and/or complementary. (8 marks) (i) E1: Ea (ii) 5'2. 54