# Questions tagged [statistics]

Computational mathematics for understanding odds and other playing percentages

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### What is the correct way to calculate the odds of a flush post flop?

Scenario: You have two hearts, and the board has two hearts. How I see the odds of a flush calculated everywhere: you have 9 outs left, and 47 unseen cards. Odds of hitting your flush: (9/47) + (9/46)...
1 vote
71 views

### Are poker odd charts agnostic of number of players?

https://www.pokerology.com/lessons/drawing-odds/ I've seen a lot of poker odds charts like this that specify a hard-coded value for odds based on outs. Is the chart agnostic of the number of players? ...
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1 vote
325 views

### Introduction to Probability with Texas Hold’em Examples #5

You are playing a hand of poker against one individual. Your hole cards are 8♦, 2♦ and your opponent’s hole cards are K♣, Q♣. The four cards on the table after the flop and the turn are J♦, 9♦, T♠, 5♥...
• 11
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### Introduction to Probability with Texas Hold’em Example #4

Suppose in a tournament with only three players left, first place receives \$6,000, second place receives \$3,000, and third place receives \$500. You have a 32% chance of winning first place, 30% chance ...
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### Introduction to Probability with Texas Hold’em Examples

In a game of Texas Hold’em, what is the probability that your hole cards will be the same suit?
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### Number of two pair distinct hands

Well I'll try to be brief, reviewing the statistics about how to achieve a double pair I came to the conclusion that for each kicker of each card, (that in total 11 for each one), there are a total of ...
1 vote
43 views

### Theoretical win rate for \$10k B&M events

Given 50 events, and \$2000/wk expenses, and typical B&M or WSOP payouts, and you're better than 95% of the field in a \$10k event (wow! you're pretty good, probably should go pro!). What is your ...
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### How to calculate my sample size to establish my real-WR?

I've been tracking for a period my hour rate and I want to know how much data I've to collect in order to establish my winnings per hour. I've been searching online and when it comes to getting a ...
1 vote
171 views

### Average graph of high-ranking players' chips vs. hands played in major tournaments

(I haven't been able to find information elsewhere, so I'm asking here.) What is the typical graph of chips vs. proportion of tournament lifetime for players who did very well in a tournament (...
169 views

### How is percentages calculated for specific player?

If I wanted a player to know their chance of winning their current hand but not the real chance, i.e knowing the discarded cards or everyone's actual hands, how would I calculate that, and does player ...
• 101
1 vote
119 views

### Poker tips backed by facts

I am looking for a list of quick poker facts similar to what WSOP (App) shows when a game is loading. For e.g. A player with a two pair at flops has a 16.7% chance of getting a full house. I am ...
• 113
303 views

### Calculating my bet size if I know my bluff % to make villain indifferent

I'm trying to work out the formula to figure out what percentage of the pot I need to bet if I want to make the villain indifferent to calling. A similar question has a response by paparazzo where he ...
• 101
363 views

### Number of combinations for 5 from 52 cards neglecting suit

When considering the suit of the cards, 5 from 52 cards have 2598960 different combinations. But how many different combinations are possible when neither suit nor order of the cards are considered? (...
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### Probability of flopping two flushes

I flopped a K high flush, opponent flopped an A high flush. What are the chances of this happening? Thanks.
76 views

### Software to create combinations

Looking for software to create combinations. wiki
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569 views

### Is there a calculator that shows what my "potential" odds are?

I always make the newbie mistake of waiting for the flush or straight. I was wondering if there is a website or an app that, after I put in the two cards in my hand, and then the cards in the flop, it ...
• 151
539 views

### Nash-like table for a full 9 players table?

I'm wondering, is there anything like the Nash Equilibrium that I can use to know when to go all in if my blinds a low in a full 9 players table?
• 103
1 vote
1k views

### What mathematics should I learn to get better at Poker?

I have learnt about pot odds, but that's about it right now. I mean to get "The Mathematics of Poker" at some point but in the mean time I'm trying to figure things out myself. What other mathematics ...
• 223
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### You have AA in the BB. The BU opens to 3.5x. What is your line?

You have AA in the BB. The BTN opens to 3.5x. What is your line ?
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### Odds of losing multiple set over set hands vs hitting a royal

I just finished a terrible session. Can't really feel bad about it as it was really cold decks. But I feel like I have better odds of hitting a royal than I do of catching this much run bad ever again....
• 824
17k views

### Best hand versus AA

Statistically what is the best hand versus AA (other than AA) I had read 56, 67, 78 Suited not the suit of any ace 56 being the best I cannot figure how 56 is better Ran on poker stove ...
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214 views

### Playing mid suited connectors from BB

You are the BB and facing 2.5 BB open and one call. SB folded. You have 78s. Do you play the hand and how. Everyone has 30 BB. Assume competent pretty much down the middle players. They can be ...
• 6,921
2k views

### Versus random hands

I have written a program to rate 2 hole cards (your hand) against a single random hand. It works - I compared its results to a published list. Your two hole cards are combined with a common 5 card ...
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### What's wrong with my equity calculation?

When answering this question, I went ahead and tried to do a manual equity calculation for the scenario described (7♥4♠ vs A♠8♣ on a board of 6♥2♥8♥), ...
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142 views

### What s the bb/100 from BigBlind from a NL25 online reg? [closed]

I m watching my bb/100 NLHE stats sorted by position at the moment . The bb/100 is positiv from every Position , only BigBlind is -22.7bb/100. I think it s normal that I have a negative bb/100 from ...
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1 vote
5k views

### Odds that someone makes or holds a pair on the flop, based on the # of players

QUESTION: In Hold ’Em, what are the combined odds after the flop that at least one player at the table either has a pair in the hole or has flopped at least a pair, depending on the number of players? ...
• 113
1 vote
228 views

### How do you express the statistics of turn/river possibilities to make a hand?

This is more of a "understanding statistics" question than a poker question. Faced with a question of, for example, "What are the odds of making a diamond royal flush by the river", the answer must ...
360 views

### Building specific situational calcualtion of pot equity and chance of winning. Setting up the formula.

I'm UTG Pre-flop with two opponents, both all in, one is RICHIDIOT (3-6s) in the big blind, and the other PLAYER2 (UTG+2), probably has a made hand (10-10) and goes all in, triggering RICHIDIOT to ...
1 vote
3k views

### What's the Probability of hitting the board on the Turn or the River

I've been looking for the answer to this for a while. I have my lovely Ace-King and I missed the flop. The flop is 9 5 2 rainbow. For several reasons, I put my opponent for a top pair (9 - kicker) or ...
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### PFR (preflop raise) statistics calculation with raise + 4bet in one single hand

Say you have played only 3 hands. 1 of them was when you were SB 1 of them was when you were BB 1 of them was when you were at Button You folded when you were SB and BB. It was only when you were ...
• 21
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### Is there statistically any combination worse than 2 7 offsuit for preflop Texas Hold'em?

The question basically says it all. I've always heard/played 2 7 offsuit as it was the worst hand, but I never looked more into it, it just made sense. Does anyone know if there is any hand worse for ...
4k views

### C Net Adjusted, What does it mean? Should it be low or high?

I am still pretty fuzzy on this concept of C Net Adjusted. The answers I read are vague and I'm just looking for a simple answer. If C Net Adjusted is lower than C Net Won (Actual), am I doing ...
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### Can a decision be both + and - EV?

Is there ever a situation that in a short-term a certain decision might be + or - EV but in the long-term the EV actually change?
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### Are there statistics that show the percentage of times you should fold at each stage of Texas Hold'em?

More specifically, the percentage of times over many hands that the most successful players fold pre-flop,and after the flop, turn and river. Thanks!
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3k views

### Probability Of Getting A Straight Flush Or Royal Flush When Holding QJs

Given that you are dealt the J♥ and Q♥, what is the probability that you will eventually make a straight flush or royal flush? Having these cards in your hand means that: 1). the only ...
• 201
626 views

### Missing the flop with AK

What are the chances of missing the flop 22 straight hands with AK? I mean when you don't flop at least one pair, two pair, straight, or a flush. I've read the chances of flopping a pair or better is ...
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### How precise is math in the heat of battle?

In the heat of a hand I have never really thought in the kind of precision that is used in this post to answer a question about playing on the bubble. Indeed I have seen other players doing so in ...
• 5,757
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### Probability of x pocket pairs at a table of n people (NLHE)?

With n people at a table, what is the probability that x of them are dealt pocket pairs? There are several easy ways to approximate this but I was wondering there was an elegant solution. Any takers?
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### Calculating the Probability of Reaching a Certain Amount of BB vs Hero

I'm looking for help to build a statistic in excel or just mathematically. What I want to figure is the chance of another player (villain) increase his stack with X BBs when I estimate his BB/100 to ...
243 views

### What's the chance of a better hand behind me?

in a very casual round of poker, I'm trying to teach the others a few fundamentals about poker. I often try to back things up with some numbers, but some are too hard for me to get. On the issue of ...
908 views

### TAG vs LAG stats in HU

What are the typical stats for VPIP, PFR, 3bet etc. of a good TAG and a LAG in NL high-stakes heads up poker?
1k views

### Is stats or technical knowledge of poker of any help

I find it quite annoying that I am not able to surpass my 50m mark(on zynga poker )with a much better knowledge of poker since I had earlier crossed it...it is basically the perception of the other ...
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### Hold'em hand history with hero

I'm looking for a significant number of hold'em hands with hero as I'm doing some specific statistical analyses and having hole cards only when they are shown at showdown creates some significant bias ...
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1k views

### Chances of 5 way chop (flush board)

What is the exact probability that 5 players at a table will be dealt no clubs (or hearts or whatever) ? Happened to me when all 5 community were all clubs (2,3,5,K,9), thereby a 5 way chop.
2k views

### Finding leaks in your game

Having a sufficient number of hands recorder in your HUD, how am I supposed to find leaks in my game? What are the questions I have to answer in order to check my game? Which are the values of ...
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### Quantifying the amount of skill required to win a tournament

I was thinking about this topic: Quantifying the amount of luck required to win a tournament And I wondered if there is a way to quantify the relation between skill and final place. It's seems hard ...
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### Quantifying the amount of luck required to win a tournament

If we disregard deals, players accidentally mucking winning hands, and time-limited tournaments, in order to win a poker tournament, you must win the very last hand of the tournament. In order to win ...
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### Do two or more players colluding against honest players gain on average more money, or not?

Let's say there are two or more players that collude with each other while playing online poker against honest players. They have an obvious advantage of knowing of more cards that are in the play ...
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### What is top N% of hands in PokerStove?

In PokerStove FAQ; The slider interface for setting the top N% of hands orders the hands according to their preflop all-in equity versus three random hands. This rather arbitrary selection was ...
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