4. (3 pts - 0.5 each] Suppose you have a fair 4-sided die and three cards numbered 2, 4, 5. You roll the die and draw a card. List the elements in a uniform sample space and compute the probabilities of the following events; leave your answers in UNSIMPLIFIED form. (a) The number on the card is bigger than the number on the die. (b) The sum of the numbers is 6. (c) At least one of the numbers is 3. (d) The sum of the numbers is at most 4. (e) The product of the numbers is at least 10.