Polya deals out cards from a deck one by one. How many cards must Polya deal out until he is sure that a flush (five cards of the same suit) has appeared amongst the dealt cards? What if Polya wants a straight (five cards in sequence, with an ace counting low or high)?
The answers are 17 and 45, but how? in Maple?
for the flush the chances are 1/numbperm(13,5)/numbperm(4,1)
for the straight 1/10/numbperm(4,1)^5.