# Pigeonhole Principle

You pick cards one at a time without replacement from an ordinary deck of 52 playing cards. What is the minimum number of cards you must pick in order to guarantee that you get (a) a pair (example, two kings or two 5s), (b) three of a kind (example, three 7s)

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The key to this problem is that you must *guarantee* that you will get a pair or three of a kind. There is always the possibility that you would get a pair after drawing two (or some other small number) of cards, but this problem is ...

#### Solution Summary

The expert examines the Pigeonhole principle examination for playing card deck.

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