"In a regular Hold-em game, you are ahead of a single opponent on the turn. It's heads-up. Yet, no matter what card hits the river, you cannot win outright. You can either lose or chop. What hand must you have, what hand must your opponent have and what must the board be for this to be the case?The solution:
I'm pretty sure that you have to assume no flush possible, otherwise it might not work."
You have 7-2, your opponent has 6-5, and the board is 3-3-4-4. At that moment, you both have two pair and your 7 is the better kicker.
But if you make a pair with either of your cards, your opponent has a straight, you lose.
Obviously if a 6 or 5 hits, your opponent has a better two pair, you lose.
A 3 or a 4 gives you both the same full house, you play the board, you split the pot.
Any 8 or bigger gives you both the same five cards, you play the board, and you split the pot.
There's no way you can win the pot outright, but your opponent can.
As soon as I post this, I will approve the comments with the other suggested answers I received.
Here's the thing, no one had that exact scenario, but at a casual glance, it appears that some of the other possibilities may also work. But honestly, I'm having too much fun in Vegas right now to further analyze them to see if they really do work. Is it possible that Chris Moneymaker missed a few other legitmate possibilities? Hmm....
Go ahead and take a look at the other answers and see if they work. If you see that they do or don't, go ahead and make a comment as to why it does or doesn't work, either on this post or in the previous post.
Hope you enjoyed this brain teaser, and thanks for playing.
And thanks to Chris Moneymaker for the question.
I will do a post about my meeting Chris soon, I promise!
UPDATE: Because blogger put the comments in the order they were received, it's hard to find them all with the other comments that I approved at the time, because they weren't possible solutions. Therefore, all the other scenarios I received are reprinted below, to make it easier to find them all and comment on!
Thanks so much to all who commented!
Board is A 7 4 4. You are holding 2 6 and opponent is holding 5 3. No one has a flush draw. If you hit a 2 or 6 he makes a straight. 5 or 3 he makes a pair. Any other card is a chop.