For (d), use your results from (b).
Let's say the result of the first round is X and the result of the second round is Y. There are only 4 possibilities for each, so you should find it easy to list all the pairs (x,y) where x < y. Use independence of X and Y, along with your results from (b), to find the probability of each (x,y) pair. Then add the probabilities up.