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?