Question: Suppose you have two fair six-sided dice, one red and one blue.
(a) Describe the state space of rolling these two dice.
(b) Consider the event of rolling an even sum, and define a random variable E that describes whether or not this event happens.
(c) Compute E[E].
(d) Consider the number of odd numbers rolled, and define a random variable O that counts the number of odd numbers rolled.
(e) Compute E[O]. (Be sure to note the units on the result.)
(f) What changes, if anything, if both of your dice are red?