A fair die is rolled and then another fair die is rolled. The number on the top face is noted. 1. What is the probability that the sum of the two numbers showing is 5? 2. What is the probability that the second number rolled is greater than the first number? Suppose a deck of 52 cards is shuffled and the top two cards are dealt. 1. How many ordered pairs of cards could possibly results as outcomes? 2. Assuming each of theses pairs has the same chances, calculate the chance that the first card is an ace. 3. Under the same assumption, calculate the chance that the second card is an ace. 4. Under the same assumption, calculate the chance that both cards are aces. 5. Under the same assumption, calculate the chance of at least one ace among the two cards.