11
votes
Accepted
Hold'em: Why does K♠️7♠️ beat A♠️2♠️ more frequently than K♠️8♠️ does?
K7 steals one winner from A2
K7 wins 3456 and K8 does not
K8 does not steal 4567 as A2 does not have a piece of it
8
votes
Drawing Dead Preflop?
This is an interesting question. The key consideration to me is "Player A cannot win the pot via a split pot", meaning that there should be no scenario whereby the board contains the nuts.
This is ...
7
votes
How do I calculate poker hand probabilities?
Welcome to the world of probabilities!
1. Questions, Answers, Frequencies
Probabilities calculation is about a question requiring an answer. It is about a question involving:
An initial state. This ...
7
votes
Best hand versus AA
I exhaustively simulated (every possibility is run) AA vs any pocket pair and AA vs any suited connector. Firstly let's cover the pocket pairs:
Obviously it is best for the under-pair to have ...
6
votes
Poker Strategy for all ins
It depends on what kinds of hands your opponent would go all-in with. If it's a tournament and he's short stacked in late position, he might have many types of hands. If it's a cash game or early in ...
6
votes
hand distribution in 6 max vs full ring
Probability is a measure of information. It's not about where the cards are--it's about what you know about them.
Let's say you have a flush draw on the turn--9 outs. What odds should you use for ...
5
votes
Why don't you remove the element of luck in poker?
In general, if you remove luck from the game, it becomes much more difficult to win money. This is because the average poker player thinks they are better then average. Mathematically this cannot ...
5
votes
Drawing Dead Preflop?
As I mentioned in a comment above, this was not my answer, found it here. Although I did find you could also substitute the 7s with 8s, and then the Queens with Jacks, 10s or 9s. Suits matter in the ...
4
votes
Accepted
What are the odds of a at least a certain amount of aces being dealt depending on the number of players?
These are the chances (assuming you have no ace):
These are valid only preflop assuming that there are 50 cards left in the deck (you are holding 2) and you are one of the players (2 players = 1 ...
4
votes
Pocket pair starting hands vs. probability of opponent having a pocket pair
A poker math geek gave me the following formula to use as an estimation.
(Edit: The credit for this shortcut goes to Phil Gordon and is known as the Gordon Pair Principle.)
Let's say you have 55:
...
4
votes
Accepted
What's wrong with my equity calculation?
At first, I thought, OK, lets quickly answer this, returning the favor. But it turned out to be a rather tricky one! One online calculator gives 48.18%, the other 48.28%, off by 0.1%, already very ...
4
votes
Why isn't every value player rich?
Rich? It's extremely hard to be "rich" just by playing poker, but it's simple enough to make a living off it. The reason being that you have to be vastly superior to the field to make steady money off ...
3
votes
5 cards draw odds
This answer assumes you have no additional knowledge of the opponent's cards. You have five cards in your hand. Of those, three are spades and two are not spades, so you need two more spades to ...
3
votes
Distinct 7 card poker hands
The hands that can't happen with seven cards are exactly the five card hands that improve no matter which two cards are added to them.
This basically means hands with low kickers.
A high card hand (...
3
votes
Accepted
Which poker hand is this?
Each players' hand is comprised of their best 5 card hand...
Ruane has Two Pair: Queens and Tens with a King kicker
Hallaert has Two Pair: Queens and Tens with a 6 Kicker
Ruane wins with the higher ...
3
votes
Probability of ace on flop?
Assuming heads-up. Since you hold AQ and villain has AJ,
there are 52-4=48 cards left on the deck, with 2 Aces remaining.
So,
Prob[at least an Ace on the Flop] = 1-Prob[no Ace on Flop]=1-(46/48)(45/...
3
votes
You have AA in the BB. The BU opens to 3.5x. What is your line?
The standard line would be to re-raise to what ever your defend re-raise is.
Depending on how often the BU raises you should be defending with a re-raise a decent range. If you defend with 88+ and ...
3
votes
Accepted
Poker hand suited connector
I think that calling here would be the worst play and I agree with your reasoning. Additionally, one of your outs (9 of diamonds) either helps another player out even more or else kills your ...
3
votes
Chances of an opponent not having a flush on 3-flush board
This is quite difficult to answer without making some assumptions. You could just calculate the chances of your opponent having a hand with a maximum of one heart based on the known and unknown cards, ...
3
votes
Accepted
Outs when needing more than one card
To elaborate on Paparazzi's answer, you can calculate the odds of a card being dealt next by dividing the number of cards you wish to know the chance of coming by all remaining unknown cards (...
3
votes
Quads sevens 5 times in one night
I will have to get technical, sorry.
There are 35 possible ways to make quad sevens. They are all equally likely. You can get this number by writing out all possibilities like this:
XXXXOOO
XXXOXOO
...
3
votes
Accepted
How to calculate probability of flopping a set (with pocket pairs)?
total combinations = 19,600
assuming you have red 2s
flops with 2s but no 2c [2s, 48, 47] = 48c2 = 1128
flops with 2c but no 2s [2c, 48, 47] = 48c2 = 1128
flops with 22x [2c, 2s, 48] = 48
2256/...
3
votes
Draw poker should you keep AK
Going to try the math.
If you keep the AK you have more ways to pair but you also have less chances to pair the A. You don't need the K kicker as you have the A and it rarely goes to a second ...
3
votes
Chance of winning heads-up by always shoving pre-flop
Assuming good depth (50bb+) if someone calls with the top 50% of hand i.e. everything that is +ev to call, he would have 57% chance to win
However a good player realizing he has 57% chance to win and ...
3
votes
Accepted
Probability of two royal flushes' played in a row
You can look up how to work out the odds in detail for a royal flush, I'll just give you a really quick breakdown, but they basically work out as 1 : 649,739 or 0.000154%.
Four suits, but only one ...
3
votes
Accepted
Does AA have the highest Equity in "double-board-bomb-pot" with 9 players?
Given the following:
we know AA is the best starting hand in regular 9-handed NLHE
there is no action before the flop in double board bomb pots
we are considering the strength of the hand before we ...
2
votes
What are the odds of flopping a straight flush with 62s?
Out of possible 19,600 flops, which is C(50,3), you can only have 1 to flop the Straight Flush, that is 3,4,5 of your holecards' suit. Thus the probability of flopping SF with 62s is 1/19600.
2
votes
Starting hands probability
Remember, don't get confused with the method used in applying combinatorics in the overall game of poker. What is being worked out here is the probability of starting hands being dealt to you, nothing ...
2
votes
Accepted
How does number of player affect the probability of a hand winning a round?
Stop saying winning. The best hand often does not win as it is folded. And can win without the best hand as a better hand was folded.
You will see top pros like a durrr win with marginal hands a ...
2
votes
Accepted
Can You Win a Long Tournament Without Major Suckouts
I think that it's definitely possible to win large field tournaments without any big suck outs, but it would be difficult to quantify how often it happens. My hunch is that it's more often than you ...
Only top scored, non community-wiki answers of a minimum length are eligible
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