Among the 2,598,960 possible five card poker hands from a standard 52 card deck, how many contain at least one spade?

All you need to do is find the probability of getting 0 spades for 5 cards in a row, subtract from 1, and multiply by 2,598,960.

I'll even do the first part: P (0 spades) =

(39/52) * (38/51) * (37/50) * (36/49) * (35/48)