#Definitions

"The nuts": the best possible hand in any given scenario. Preflop, the nuts are AA. On a board with 865 rainbow, 97 are the nuts.

Community cards: the 5 cards on the board

Hole cards: the 2 cards each player has

#Puzzle 1: Lowest nuts

What configuration of community cards and hole cards gives you the lowest possible nutted hand on the river?

Answer

#Puzzle 2

What configuration of 5 board cards and 2 hole cards make it such that:

1. Looking back, you know that you had the best possible hand on the flop
2. and the turn
3. On the river, you are guaranteed to lose the pot to any other hand — not even a chop

The answer is unique (up to suits)

Hint 1, Hint 2

Answer

Credit to Johns Hopkins Poker Course