Question

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

Answer 1

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)