OF course the problems are situationally dependent. Let me explain problem #1 more specifically. You get two hole cards. A flop sometimes comes up such that you know you would win in a showdown. For example, you flop a royal flush. But it is possible that you might flop a lower hand that is still guaranteed to win in a showdown. What is the lowest hand for which this would happen? If you are still confused, I have put the answer to #1 in a spoiler tag below.
ORIGINAL POST
Here are nine Texas Hold 'Em puzzles for you. Please hide your answers in spoiler tags. Add an explanation if you want to. When someone gets the correct answer, I will edit this post with a spoiler tag that includes the answer and gives credit. That way you won't have to keep checking through posts to find the answers.
Each puzzle has two parts:
Part one: Provide a five-card hand that solves the puzzle (allowing for the fact that there will be seven cards available). Give suits if needed. Examples:
5 5 5 2 2
9D 8D 7D 6D 5D
Part two: Provide an example of your solution. That is, show two hole cards, three flop cards, and, if necessary, one turn card and one river card, with suits, like this:
AS KH
QD JC TS
9H
8D
Here are the puzzles:
What is the lowest hand you could have that would be guaranteed to beat all others in a showdown?
1. After the flop
2. After the turn
3. After the river
What is the highest hand you could have that could possibly lose to someone else in a showdown?
4. After the flop
5. After the turn
6. After the river
7. After the river, how high a hand could you have that must lose to every other hand in a showdown?
8. After the river, how low a hand could you have that no one could beat, and at most one other player could tie in a showdown?
9. After the river, how low a hand could you have that could possibly beat someone in a showdown?
--SDSDNSR
ANSWERS
obtained in this way:
AS 5S
4S 3S 2S
Note that if you have a 5 high straight flush on the flop, you must hold both the AS and the 5S or you might be beaten.
Quote: SDSDNSR...Here are the puzzles:
What is the lowest hand you could have that would be guaranteed to beat all others in a showdown?
1. After the flop
Quote: SDSDNSR2. After the turn
Quote: SDSDNSR3. After the river
Quote: SDSDNSRWhat is the highest hand you could have that could possibly lose to someone else in a showdown?
4. After the flop
Quote: SDSDNSR5. After the turn
Quote: SDSDNSR6. After the river
Quote: SDSDNSR7. After the river, how high a hand could you have that must lose to every other hand in a showdown?
Quote: SDSDNSR8. After the river, how low a hand could you have that no one could beat, and at most one other player could tie in a showdown?
Quote: SDSDNSR9. After the river, how low a hand could you have that could possibly beat someone in a showdown?
The set up...
You are playing NLHE at a 9 handed table on the button. Pre-flop every person at the table in front of you goes all-in. You look at your cards and see that you have AA.
10. What configuration of the 9 hands gives you the highest probability of winning the hand?
11. What configuration of the 9 hands gives you the lowest probability of winning the hand?
For determining the probabilities, let's use the calculator at http://twodimes.net/poker/
Quote: rsactuaryUnfortunately I'm heading out on vacation and don't have time to think through these, but I came up with a couple brain teasers myself a few years ago and posted them on a different message board.. and I hope I can add them here as number 10 and 11.
The set up...
You are playing NLHE at a 9 handed table on the button. Pre-flop every person at the table in front of you goes all-in. You look at your cards and see that you have AA.
10. What configuration of the 9 hands gives you the highest probability of winning the hand?
11. What configuration of the 9 hands gives you the lowest probability of winning the hand?
For determining the probabilities, let's use the calculator at http://twodimes.net/poker/
I would fold.
ZCore13
Quote: Zcore13I would fold.
ZCore13
that does not answer the questions as stated.
Quote: rsactuarythat does not answer the questions as stated.
I'm a rebel sometimes.
ZCore13
I'm guessing with the AA, we want the other hands to be pocket pairs that block each other's sets and straights.
JJ,JJ, 99,99, 66,66, 44, 44 or something like that.
The worst hands for us are gonna be much harder. I wonder if it's something like another AA to block us from sets. 22, 33,44 and some well distributed suited connectors.
I'll think about the earlier questions too.
Quote: RigondeauxWould you really fold aces ZCore? Why? I'm assuming we're not at the final table of the wsop.
I'm guessing with the AA, we want the other hands to be pocket pairs that block each other's sets and straights.
JJ,JJ, 99,99, 66,66, 44, 44 or something like that.
The worst hands for us are gonna be much harder. I wonder if it's something like another AA to block us from sets. 22, 33,44 and some well distributed suited connectors.
I'll think about the earlier questions too.
Yes, I would. Pocket Aces heads up I'll take all day everyday. Pocket Aces on a 10 handed game with everyone all in ahead of you win just under 32% of the time. I'm not putting all my chips in on a less than 1/3 chance of winning unless I'm really short stacked. I'm pretty confident I'll out play at least 7 of the 9 at the table in most cases..
ZCore13