Alice and Bob are playing combinatorial poker.
A standard 52 card deck is spread face up on a table.
- Alice picks up any 5 cards from the table.
- Bob does the same.
- Alice trashes any number of cards. She then picks up the same number of cards from the table.
- Bob does the same. He is not allowed to pick cards from the trash in this phase.
The one with a better hand wins.
Who has a winning strategy assuming perfect play?
This problem assumes familiarity with the rankings of poker hands, but no other knowledge of the rules of poker. You can review the ideas from here or this problem