Consider the following experiment: we roll a fair die twice. Thetwo rolls are independent events. Let’s call M the number of dotsin the first roll and N the number of dots in the second roll.
(a) What is the probability that both M and N are even?
(b) What is the probability that M + N is even?
(c) What is the probability that M + N = 5?
(d) We know that M + N = 5. What is the probability that M is anodd number?
(e) We know that M is an odd number. What is the probabilitythat M + N = 5?
