The game of Motzhee consists of rolling five 8-sided dice (each die of a differing color), each of whose faces are numbered with the integers {1, 2, 3, 4, 5, 6, 7, 8}. What is the probability of rolling a full house? A full house consists of five dice, three of which have the same number facing up, the other two of which have the same number facing up as well, but where the number facing up in the triple is different from that of the pair.