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Each poker deck has fifty-two cards, each designated by one of four suits (clubs, diamonds, hearts and spades) and one of thirteen ranks (the numbers two through ten, Jack, Queen, King, and Ace). Therefore, the odds of getting any Ace as your first card are 1 in 13 (7.7%), while the odds of getting any spade as your first card are 1 in 4 (25%). Sounds pretty lame I know but I really don't understand how to interpret poker graphs and some of the other data I see around the internet. Like I will go on the 2+2 forums and read through the Goals and Challenges threads and literally have no idea what most of the charts and graphs actually mean. Poker Analytics 5 is the brand new version of the poker tracker used by tens of thousands of players! Poker Analytics follows you in your poker life - whether you're a casual player or a pro - and lets you track and analyze your results, record your hands and manage your bankroll. Sounds pretty lame I know but I really don't understand how to interpret poker graphs and some of the other data I see around the internet. Like I will go on the 2+2 forums and read through the Goals and Challenges threads and literally have no idea what most of the charts and graphs actually mean.

The best part about online poker, compared to live, is that if you want to know someone's lifetime results it's pretty easy to find out.In live poker people win and lose money all the time and no one's really keeping track (sorry IRS). But online you can bring up a player's lifetime graph in a matter of seconds if you know the right places to look.Here at PokerListings.com we know all the right places to look. We've used our know-how to bring you the top ten sickest graphs of all time.
Let's get started.

Randy 'Nanonoko' Lew is an American poker professional, and part of Team PokerStars:Online. Randy is one of the most successful multi-table players in online poker history.

Sickest Online Poker Graphs Ever

10. latouche83

Now I have no idea who latouche83 is but as far as I can tell from his graph he broke even over low stakes sngs/tourneys for around 2,775 games before he luckboxed the sunday million.

He then decided to take some shots at bigger sngs with rather disasterous results.

Somehow, after donking away $140,000+ he finds it in himself to stop playing so high and books around $40k in profit. How he didn't donk it all away we'll never know.

9. Isildur1

Yes, the infamous Isildur1. First we have the infamous $5 million upswing (mostly thanks to Tom Dwan) followed by the $6 million downswing (most of it thanks to Brian Hastings).

And last we have his most recent foray into the high stakes cash games. When isildur finally does go completely broke he can charge admission to ride the rollercoaster that is his graph. (Comedy rimshot)

8. Nanonoko

Nanonoko has one of the sickest, seemingly variance free, graphs of all time.

It looks so smooth because the guy puts in more volume than any player in the world. He shipped over a million last year at middle stakes alone!

7. Joe 'jcada99' Cada

Hrmm what do we have here? Some small stakes, some more small stakes, some more small stakes, oooh a tourney bink and Main Event final table!

Cada followed that up with some (failed) shots at bigger games. According to his graph it didn't work out very well for him.

6. Xblink

Xblink allegedlly turned $11 into just under a million in one month after binking an $11 PLO tourney on UB and then making an improbable run to the highest stakes of PLO on Ultimate bet.

A graph we'd love to call our own.

5. Yvgeniy 'Jovial Gent' Timoshenko

Rivers casino restaurant menu. Yevgeniy Timoshenko aka Jovial Gent was grinding pretty much all of the online tournaments before binking the 2009 WCOOP Main Event for a $1,800,000 score.

He then continued to grind those same online tournaments. Well, that, and he also won the Season 7 World Poker Tour Championship for $2,149,000 (not pictured).

4. Guy Laliberte

The Cirque de Soleil billionaire had a brief and incredibly costly love affair with nosebleed online poker in 2008.

Finding his graph is fairly tough because he hid behind a number of different names, Noatima, Lady Marmelade and Patatino, to name a few, but most people put the final tally at around minus $10.9 million. Just a drop in the bucket eh Guy?

3. Richierichzh

Richierichzh was a somewhat serious poker player playing random tournaments whenever he found the time, until he shipped the biggest Sunday Million of all time and its $1.1 million first prize.

Richierichzh and his graph became an instant legend.

2. Ben Grundy

Ben Grundy posted his PLO graph, showing the world he's an almost $8 million winner over just 320,000 hands.

What's even more surperising is that he's playing nosebleed PLO and he's never had a downswing worse then 10bis. AND THATS AT PLO. Boomswitch much!?

1. Brian Hastings vs Isildur1

The biggest win in online poker in a single day belongs to Brian Hastings who, in a 2,900 hand session, took $4.2 million off the Swedish unknown Isildur1.

He managed to completely break Isildur1 who took a couple months off to help ease the pain of running $3 million under equity.

Those are the top ten we've found. If you've got one that's even sicker drop a link in the comments below.

The main underpinning of poker is math – it is essential. For every decision you make, while factors such as psychology have a part to play, math is the key element.

In this lesson we're going to give an overview of probability and how it relates to poker. This will include the probability of being dealt certain hands and how often they're likely to win. We'll also cover how to calculating your odds and outs, in addition to introducing you to the concept of pot odds. And finally we'll take a look at how an understanding of the math will help you to remain emotional stable at the poker table and why you should focus on decisions, not results.

What is Probability?

Probability is the branch of mathematics that deals with the likelihood that one outcome or another will occur. For instance, a coin flip has two possible outcomes: heads or tails. The probability that a flipped coin will land heads is 50% (one outcome out of the two); the same goes for tails.

Probability and Cards

When dealing with a deck of cards the number of possible outcomes is clearly much greater than the coin example. Each poker deck has fifty-two cards, each designated by one of four suits (clubs, diamonds, hearts and spades) and one of thirteen ranks (the numbers two through ten, Jack, Queen, King, and Ace). Therefore, the odds of getting any Ace as your first card are 1 in 13 (7.7%), while the odds of getting any spade as your first card are 1 in 4 (25%).

Unlike coins, cards are said to have 'memory': every card dealt changes the makeup of the deck. For example, if you receive an Ace as your first card, only three other Aces are left among the remaining fifty-one cards. Therefore, the odds of receiving another Ace are 3 in 51 (5.9%), much less than the odds were before you received the first Ace.

Want to see how poker math intertwines with psychology and strategy to give you a MASSIVE EDGE at the tables? Check out CORE and learn poker in the quickest and most systematic way:

Pre-flop Probabilities: Pocket Pairs

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In order to find the odds of getting dealt a pair of Aces, we multiply the probabilities of receiving each card:

(4/52) x (3/51) = (12/2652) = (1/221) ≈ 0.45%.

To put this in perspective, if you're playing poker at your local casino and are dealt 30 hands per hour, you can expect to receive pocket Aces an average of once every 7.5 hours.

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The odds of receiving any of the thirteen possible pocket pairs (twos up to Aces) is:

(13/221) = (1/17) ≈ 5.9%.

In contrast, you can expect to receive any pocket pair once every 35 minutes on average.

Pre-Flop Probabilities: Hand vs. Hand

Players don't play poker in a vacuum; each player's hand must measure up against his opponent's, especially if a player goes all-in before the flop.

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Here are some sample probabilities for most pre-flop situations:

Post-Flop Probabilities: Improving Your Hand

Now let's look at the chances of certain events occurring when playing certain starting hands. The following table lists some interesting and valuable hold'em math:

Many beginners to poker overvalue certain starting hands, such as suited cards. As you can see, suited cards don't make flushes very often. Likewise, pairs only make a set on the flop 12% of the time, which is why small pairs are not always profitable.

PDF Chart

We have created a poker math and probability PDF chart (link opens in a new window) which lists a variety of probabilities and odds for many of the common events in Texas hold ‘em. This chart includes the two tables above in addition to various starting hand probabilities and common pre-flop match-ups. You'll need to have Adobe Acrobat installed to be able to view the chart, but this is freely installed on most computers by default. We recommend you print the chart and use it as a source of reference.

Odds and Outs

If you do see a flop, you will also need to know what the odds are of either you or your opponent improving a hand. In poker terminology, an 'out' is any card that will improve a player's hand after the flop.

One common occurrence is when a player holds two suited cards and two cards of the same suit appear on the flop. The player has four cards to a flush and needs one of the remaining nine cards of that suit to complete the hand. In the case of a 'four-flush', the player has nine 'outs' to make his flush.

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In order to find the odds of getting dealt a pair of Aces, we multiply the probabilities of receiving each card:

(4/52) x (3/51) = (12/2652) = (1/221) ≈ 0.45%.

To put this in perspective, if you're playing poker at your local casino and are dealt 30 hands per hour, you can expect to receive pocket Aces an average of once every 7.5 hours.

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The odds of receiving any of the thirteen possible pocket pairs (twos up to Aces) is:

(13/221) = (1/17) ≈ 5.9%.

In contrast, you can expect to receive any pocket pair once every 35 minutes on average.

Pre-Flop Probabilities: Hand vs. Hand

Players don't play poker in a vacuum; each player's hand must measure up against his opponent's, especially if a player goes all-in before the flop.

Here are some sample probabilities for most pre-flop situations:

Post-Flop Probabilities: Improving Your Hand

Now let's look at the chances of certain events occurring when playing certain starting hands. The following table lists some interesting and valuable hold'em math:

Many beginners to poker overvalue certain starting hands, such as suited cards. As you can see, suited cards don't make flushes very often. Likewise, pairs only make a set on the flop 12% of the time, which is why small pairs are not always profitable.

PDF Chart

We have created a poker math and probability PDF chart (link opens in a new window) which lists a variety of probabilities and odds for many of the common events in Texas hold ‘em. This chart includes the two tables above in addition to various starting hand probabilities and common pre-flop match-ups. You'll need to have Adobe Acrobat installed to be able to view the chart, but this is freely installed on most computers by default. We recommend you print the chart and use it as a source of reference.

Odds and Outs

If you do see a flop, you will also need to know what the odds are of either you or your opponent improving a hand. In poker terminology, an 'out' is any card that will improve a player's hand after the flop.

One common occurrence is when a player holds two suited cards and two cards of the same suit appear on the flop. The player has four cards to a flush and needs one of the remaining nine cards of that suit to complete the hand. In the case of a 'four-flush', the player has nine 'outs' to make his flush.

A useful shortcut to calculating the odds of completing a hand from a number of outs is the 'rule of four and two'. The player counts the number of cards that will improve his hand, and then multiplies that number by four to calculate his probability of catching that card on either the turn or the river. If the player misses his draw on the turn, he multiplies his outs by two to find his probability of filling his hand on the river.

In the example of the four-flush, the player's probability of filling the flush is approximately 36% after the flop (9 outs x 4) and 18% after the turn (9 outs x 2).

Pot Odds

Another important concept in calculating odds and probabilities is pot odds. Pot odds are the proportion of the next bet in relation to the size of the pot.

For instance, if the pot is $90 and the player must call a $10 bet to continue playing the hand, he is getting 9 to 1 (90 to 10) pot odds. If he calls, the new pot is now $100 and his $10 call makes up 10% of the new pot.

Experienced players compare the pot odds to the odds of improving their hand. If the pot odds are higher than the odds of improving the hand, the expert player will call the bet; if not, the player will fold. This calculation ties into the concept of expected value, which we will explore in a later lesson.

Bad Beats

A 'bad beat' happens when a player completes a hand that started out with a very low probability of success. Experts in probability understand the idea that, just because an event is highly unlikely, the low likelihood does not make it completely impossible.

A measure of a player's experience and maturity is how he handles bad beats. In fact, many experienced poker players subscribe to the idea that bad beats are the reason that many inferior players stay in the game. Bad poker players often mistake their good fortune for skill and continue to make the same mistakes, which the more capable players use against them.

Decisions, Not Results

One of the most important reasons that novice players should understand how probability functions at the poker table is so that they can make the best decisions during a hand. While fluctuations in probability (luck) will happen from hand to hand, the best poker players understand that skill, discipline and patience are the keys to success at the tables.

A big part of strong decision making is understanding how often you should be betting, raising, and applying pressure.
The good news is that there is a simple system, with powerful shortcuts & rules, that you can begin using this week. Rooted in GTO, but simplified so that you can implement it at the tables, The One Percent gives you the ultimate gameplan.

This 7+ hour course gives you applicable rules for continuation betting, barreling, raising, and easy ratios so that you ALWAYS have the right number of bluffing combos. Take the guesswork out of your strategy, and begin playing like the top-1%.

Conclusion

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A strong knowledge of poker math and probabilities will help you adjust your strategies and tactics during the game, as well as giving you reasonable expectations of potential outcomes and the emotional stability to keep playing intelligent, aggressive poker.

Remember that the foundation upon which to build an imposing knowledge of hold'em starts and ends with the math. I'll end this lesson by simply saying…. the math is essential.

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By Gerald Hanks

Gerald Hanks is from Houston Texas, and has been playing poker since 2002. He has played cash games and no-limit hold'em tournaments at live venues all over the United States.

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