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Poker Brain Teaser

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**GreggPath**:

This was posted on Reddit today and I found it interesting so I thought I'd bring it here and see what people can come up with. I've come up with one solution which I'll post as a reply.

--- Quote ---Its a heads up NLHE hand and we have just been dealt a turn. Both players are all in and their hands are face up. Player A currently has the best hand, however he has no chance to scoop the pot. No matter what the river is the result will either be a chop or player B will scoop.

What are the hands and what is the board? To my knowledge (treating suits as arbitrary) there are only 3 possible answers.

--- End quote ---

**GreggPath**:

Player A: 2-7o

Player B: 5-6o

Board: 4433r

Player A is currently in the lead with two pair, 7 kicker.

If the river is 8 or higher, split pot (both players play the board)

If the river is a 2 or 7, A's two pair is beaten by B's straight

If the river is a 5 or 6, B has a better two pair than A

If the river is a 3 or 4, split pot (both players play the board)

Confirmed this on CardPlayer's calculator. After the turn B has a 27.27% chance of winning, 72.73% chance of a chop.

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