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 ...
- 2,804
5
votes
Accepted
Is there a calculator that shows what my "potential" odds are?
If you have an android phone you can download "Poker calculator", logo is a clover as you can see topleft.
It is a great app. It supports hold 'em but also 4 and 5 card omaha high and omaha high/low....
- 2,804
5
votes
What's the Probability of hitting the board on the Turn or the River
When facing an "at least one of" problem, you can't just add probabilities. You have to calculate the probability of missing everything, then subtract from one.
Assuming 47 unknown cards, 6 of which ...
- 3,972
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 ...
- 56
4
votes
Accepted
What's the Probability of hitting the board on the Turn or the River
Sometimes during play you want a quicker method that isn't 100% but gives you very close percentages.
The rule of 2 and 4.
If you have 2 cards left to reveal (ie the turn & river) then you ...
- 585
3
votes
Accepted
Number of combinations for 5 from 52 cards neglecting suit
quads:
13 * 12 = 156
full houses:
13 * 12 = 156
trips:
13 * 12 * 11 / 2 = 858
two pairs:
13 * 12 * 11 / 2 = 858
single pair:
13 * 12 * 11 * 10 / 6 = 2860
5 different cards:
13 * 12 * 11 * 10 * 9 /...
- 354
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 ...
- 6,921
3
votes
Is there statistically any combination worse than 2 7 offsuit for preflop Texas Hold'em?
It depends on how many players are in the pot. Using the pre-flop calculator and assuming you only know your own hand, here is a table of the winning odds (calculated at https://www.888poker.com/poker/...
- 131
2
votes
What's wrong with my equity calculation?
I'm not sure how much it affects your equity calculation, but you are missing where the villain hits Aces full.
- 1,322
2
votes
Odds that someone makes or holds a pair on the flop, based on the # of players
If we assume that any player seeing the flop is equally likely to have any possible hand and that we do not take our own specific hand into account, we can provide an answer.
Taking the simple case ...
- 1,564
2
votes
Best hand versus AA
According to this odds calculator site, the reason 56s is better, is because it loses less against AA.
Here are the top 10 hands they list vs. AA:
Best Hands Against Pocket Aces in Holdem
Rank ...
- 1,322
2
votes
Accepted
Versus random hands
I expect most calculators online just run a subset of all possible boards as a representative sample - for example on ProPokerTools if you run a heads up hand against a random hand you get an ...
- 1,564
2
votes
Probability of flopping two flushes
there is a about a 25% chance that you get dealt suited cards. (12/51 ~ 23.5% to be exact)
given that you already hold 2 suited cards, there is a 4.4% chance that your opponent also get dealt 2 cards ...
- 3,272
2
votes
What mathematics should I learn to get better at Poker?
I think that learning about weighted probabilities is very useful to improving your game, especially when reviewing hands and developing an intuition for your true chances of creating a profitable ...
- 1,948
2
votes
Accepted
Poker tips backed by facts
These quick tips are all backed by the fundamental math and rules of poker. I would recommend that instead of memorizing facts/tips, it would be more beneficial to gain a thorough understanding of ...
- 3,272
2
votes
How to calculate my sample size to establish my real-WR?
The problem I see here is that if you are starting to become a professional player, your skills should be improving, thus I think you should track your performance based on shorter period of time, say ...
- 92
1
vote
Number of combinations for 5 from 52 cards neglecting suit
My answer is incorrect. It addresses the amount of permutations, not combinations.
Ignoring suits makes things actually way easier, not harder. When suits don't matter you basically have thirteen ...
- 2,804
1
vote
Probability of flopping two flushes
This does not include A and K part as I am not sure how to do that.
Basically just 7 cards of the same suit.
combin(13;7) * 4 / combin(52;7) = 0.00513%
- 6,921
1
vote
You have AA in the BB. The BU opens to 3.5x. What is your line?
I believe my line would be Woohoo! in my best Homer Simpson voice, likely accompanied with a few fist pumps.
(Note: This likely works best in online play, where your opponent will not see/hear you.)
...
- 406
1
vote
Accepted
Nash-like table for a full 9 players table?
What you should go all-in with being short stacked is not that simple. There are so many different variables that a chart could only be used as a reference.
A quick google "push fold charts 9 max", ...
- 2,804
1
vote
What mathematics should I learn to get better at Poker?
Pot odds
Implied odds
EV - Expected Value
used for making advanced decisions using probability
Combinations
this is used for probability with multiple cards to come
Game theory
pretty advanced but ...
- 6,921
1
vote
Best hand versus AA
Not a complete answer
Yes 56 has more ties and less wins compared to 67
Why there are enough ties to overcome the wins is not so clear
win +
loss win tie tie/...
- 6,921
1
vote
Accepted
Playing mid suited connectors from BB
Everybody is short stacked here which definitely affects how you have to play, if you have >50 BB, I'd say definitely call, at the very least because having the image of being a blind defender is ...
- 541
1
vote
Playing mid suited connectors from BB
Not going to accept my own answer so feel free to post.
You are out of position but you are closing betting. If betting was still open no way I call.
You are looking to flop 2 pair or better. ...
- 6,921
1
vote
Is there statistically any combination worse than 2 7 offsuit for preflop Texas Hold'em?
I was just having this conversation with a friend. So I wrote a little program to explore the idea and graphed the data showing when 72o becomes a slightly better hand than 32o.
Basically, when the ...
- 111
1
vote
Odds that someone makes or holds a pair on the flop, based on the # of players
Let's just call it 1/3 chance that a player makes a pair on the flop. Change it into an and so you can multiply. The chance of not having a pair is 2/3. So if three saw the flop 1 - (2/3 * 2/3 * 2/3) =...
- 6,921
1
vote
How do you express the statistics of turn/river possibilities to make a hand?
It is in this link
Poker_probability
c(4,1) * c(5,5) * c(47,2) / c(52,7) = 0.0000323206 = 30939 : 1
4 flushes * exactly 5 cards * 47 remaining cards for the other 2
c is combination
It is ...
- 6,921
1
vote
Building specific situational calcualtion of pot equity and chance of winning. Setting up the formula.
There are far too many situations you'd need to work out to calculate by hand.
1a. Just for AQo vs P1 & P2 range, the permutations of hand matchups is already huge.
P1 range: 40% x 1326 = ...
- 51
1
vote
Probability of x pocket pairs at a table of n people (NLHE)?
The calculations probably get out of hand, so that a Monte Carlo estimate would probably be the easiest way to get the answer. One way to approximate the answer is to just assume there is a 1/17 ...
- 11
Only top scored, non community-wiki answers of a minimum length are eligible