Toss five dice. What's the probability that you'll observe a so-called "large straight" of length five? (E.g., such a straight arises from the toss 3,2,6,4,5. And note that you can only have straights starting at 1 or 2.) What's the probability that you'll see exactly two pairs and a junk toss? (Note that this precludes the possibility of a full house. Also, perhaps surprisingly, this doesn't get you any points in Yahtzee!)