1. Two integers are selected at random from {1, 2, . . . , n}. What is the probability that the integers are consecutive? [5 marks] What is the probability that their sum is odd?

2. pair of n-sided fair dice are rolled (there is equal probability of rolling each number from {1, 2, . . . , n}). What is the probability that the second dice lands on a higher value than does the first? [10 marks] Given that the first dice is between 1 and m (for m n), what is the probability that the second dice lands on a higher value than does the first?