Pigeonhole Principle Problem with a standard deck of cards If I have a standard deck of cards, how man cards must I draw to ensure that I get three cards of the same kind. How many cards must I draw ensure that I get 5 cards of the same suit.
I am new to this topic but I think that in the first case the pigeonhole would be the the kind of cards (example: aces) and in the second case the kind of cards would be the suit of course.
Can someone please offer guidance as to how to go about solving this problem.

You have $\color{green}4$ slots, and you want $\color{red}3$ (or $\color{blue}5$) cards from the same slot. The pigeonhole principle says that if you draw at least $\color{red}2\times \color{green}4 + 1$ (or $\color{blue}4\times \color{green}4 + 1$) then you are sure to success.
