Another brainteaser. Say you’re playing a weirdo version of draw poker. First player chooses any five cards from the deck. Not at random, he can choose the exact cards he wants. They’re displayed face up for the second player to see. The second player then chooses any five cards from the deck, again, the exact cards he wants, and displays them face up for the first player to see. The first player may then discard any of the cards he has, 0 to 5, and replace them with any cards he wants from the deck. Again, the exact cards he wants, and it’s shown face up. The second player then does the same. Whomever has the better hand wins.
What’s the ideal strategy for the first player?