Most Money Ever Won In A Poker Hand

This post works with 5-card Poker hands drawn from a standard deck of 52 cards. The discussion is mostly mathematical, using the Poker hands to illustrate counting techniques and calculation of probabilities

He was atop the all-time money list until Antonio Esfandiari won the Big One for One Drop at the 2012 World Series of Poker. Ivey has 8 WSOP bracelets, a WPT title, numerous other wins in the game. The World Series of Poker (WSOP) is a series of poker tournaments held annually in Las Vegas and, since 2004, sponsored by Caesars Entertainment.It dates its origins to 1970, when Benny Binion invited seven of the best-known poker players to the Horseshoe Casino for a single tournament, with a set start and stop time, and a winner determined by a secret ballot of the seven players.

Working with poker hands is an excellent way to illustrate the counting techniques covered previously in this blog – multiplication principle, permutation and combination (also covered here). There are 2,598,960 many possible 5-card Poker hands. Thus the probability of obtaining any one specific hand is 1 in 2,598,960 (roughly 1 in 2.6 million). The probability of obtaining a given type of hands (e.g. three of a kind) is the number of possible hands for that type over 2,598,960. Thus this is primarily a counting exercise.

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Preliminary Calculation

Usually the order in which the cards are dealt is not important (except in the case of stud poker). Thus the following three examples point to the same poker hand. The only difference is the order in which the cards are dealt.

These are the same hand. Order is not important.

The number of possible 5-card poker hands would then be the same as the number of 5-element subsets of 52 objects. The following is the total number of 5-card poker hands drawn from a standard deck of 52 cards.

The notation is called the binomial coefficient and is pronounced “n choose r”, which is identical to the number of -element subsets of a set with objects. Other notations for are , and . Many calculators have a function for . Of course the calculation can also be done by definition by first calculating factorials.

Thus the probability of obtaining a specific hand (say, 2, 6, 10, K, A, all diamond) would be 1 in 2,598,960. If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of all diamond cards? It is

This is definitely a very rare event (less than 0.05% chance of happening). The numerator 1,287 is the number of hands consisting of all diamond cards, which is obtained by the following calculation.

The reasoning for the above calculation is that to draw a 5-card hand consisting of all diamond, we are drawing 5 cards from the 13 diamond cards and drawing zero cards from the other 39 cards. Since (there is only one way to draw nothing), is the number of hands with all diamonds.

If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of cards in one suit? The probability of getting all 5 cards in another suit (say heart) would also be 1287/2598960. So we have the following derivation.

Thus getting a hand with all cards in one suit is 4 times more likely than getting one with all diamond, but is still a rare event (with about a 0.2% chance of happening). Some of the higher ranked poker hands are in one suit but with additional strict requirements. They will be further discussed below.

Another example. What is the probability of obtaining a hand that has 3 diamonds and 2 hearts? The answer is 22308/2598960 = 0.008583433. The number of “3 diamond, 2 heart” hands is calculated as follows:

One theme that emerges is that the multiplication principle is behind the numerator of a poker hand probability. For example, we can think of the process to get a 5-card hand with 3 diamonds and 2 hearts in three steps. The first is to draw 3 cards from the 13 diamond cards, the second is to draw 2 cards from the 13 heart cards, and the third is to draw zero from the remaining 26 cards. The third step can be omitted since the number of ways of choosing zero is 1. In any case, the number of possible ways to carry out that 2-step (or 3-step) process is to multiply all the possibilities together.

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The Poker Hands

Here’s a ranking chart of the Poker hands.

The chart lists the rankings with an example for each ranking. The examples are a good reminder of the definitions. The highest ranking of them all is the royal flush, which consists of 5 consecutive cards in one suit with the highest card being Ace. There is only one such hand in each suit. Thus the chance for getting a royal flush is 4 in 2,598,960.

Royal flush is a specific example of a straight flush, which consists of 5 consecutive cards in one suit. There are 10 such hands in one suit. So there are 40 hands for straight flush in total. A flush is a hand with 5 cards in the same suit but not in consecutive order (or not in sequence). Thus the requirement for flush is considerably more relaxed than a straight flush. A straight is like a straight flush in that the 5 cards are in sequence but the 5 cards in a straight are not of the same suit. For a more in depth discussion on Poker hands, see the Wikipedia entry on Poker hands.

The counting for some of these hands is done in the next section. The definition of the hands can be inferred from the above chart. For the sake of completeness, the following table lists out the definition.

Definitions of Poker Hands

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Counting Poker Hands

Straight Flush
Counting from A-K-Q-J-10, K-Q-J-10-9, Q-J-10-9-8, …, 6-5-4-3-2 to 5-4-3-2-A, there are 10 hands that are in sequence in a given suit. So there are 40 straight flush hands all together.

Four of a Kind
There is only one way to have a four of a kind for a given rank. The fifth card can be any one of the remaining 48 cards. Thus there are 48 possibilities of a four of a kind in one rank. Thus there are 13 x 48 = 624 many four of a kind in total.

Full House
Let’s fix two ranks, say 2 and 8. How many ways can we have three of 2 and two of 8? We are choosing 3 cards out of the four 2’s and choosing 2 cards out of the four 8’s. That would be = 4 x 6 = 24. But the two ranks can be other ranks too. How many ways can we pick two ranks out of 13? That would be 13 x 12 = 156. So the total number of possibilities for Full House is

Note that the multiplication principle is at work here. When we pick two ranks, the number of ways is 13 x 12 = 156. Why did we not use = 78?

Flush
There are = 1,287 possible hands with all cards in the same suit. Recall that there are only 10 straight flush on a given suit. Thus of all the 5-card hands with all cards in a given suit, there are 1,287-10 = 1,277 hands that are not straight flush. Thus the total number of flush hands is 4 x 1277 = 5,108.

Straight
There are 10 five-consecutive sequences in 13 cards (as shown in the explanation for straight flush in this section). In each such sequence, there are 4 choices for each card (one for each suit). Thus the number of 5-card hands with 5 cards in sequence is . Then we need to subtract the number of straight flushes (40) from this number. Thus the number of straight is 10240 – 10 = 10,200.

Three of a Kind
There are 13 ranks (from A, K, …, to 2). We choose one of them to have 3 cards in that rank and two other ranks to have one card in each of those ranks. The following derivation reflects all the choosing in this process.

Two Pair and One Pair
These two are left as exercises.

High Card
The count is the complement that makes up 2,598,960.

The following table gives the counts of all the poker hands. The probability is the fraction of the 2,598,960 hands that meet the requirement of the type of hands in question. Note that royal flush is not listed. This is because it is included in the count for straight flush. Royal flush is omitted so that he counts add up to 2,598,960.

Probabilities of Poker Hands

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2017 – Dan Ma

Poker has evolved into one of the most popular card games of all time. While it was earlier primarily played for recreational purposes amongst friends, it is now a full-blooded competitive sport and has also emerged as the biggest form of gambling all over the world.

The World Series Of Poker has taken the ‘sport’ to the next level, with a main event held every year, along with several smaller tournaments, promising millions of dollars to potential winners. The WSOP has created many instant millionaires and has inspired thousands of players from around the world to take up Poker professionally.

Texas Hold ’em is undoubtedly the most popular Poker variant, and majority of the biggest winners in history have become rich while playing that.

• Did you know that the total prize pool for the 2012 WSOP Event crossed the $ 80 million mark ?
• Can you believe that Antonio Esfandiari pocketed more than $18 million by winning just one Poker event ?
• Ever wondered who are the biggest winners in Poker history ?
• Do you want to be inspired by stories of professionals overcoming all odds to win mega sums of money ?

Well fret not, as we have compiled a definitive list of the top 10 biggest single event Poker winners to inspire you.

1. Antonio Esfandiari – 18.3 Million

https://www.youtube.com/watch?v=g0RPJ8Gi3Jg

Nationality : Iran
Winning Amount : 18,346,673
Total Prize Pool : $42.6 million
Date : 3^rd July 2012
Event : 2012 WSOP Event #55 – The Big One For One Drop

Aptly nicknamed ‘The Magician’ , Antonio Esfandiari is one of the most well known Poker players in the world, and for a valid reason. Antonio managed to win the largest ever cash prize for one Poker tournament when he pocketed a staggering $18.3 million at the 2012 WSOP The Big One For One Drop event, which was held to benefit the One Drop Foundation. Not only that, Antonio is actually a former professional magician, widely known for his unusual tricks with poker chips.

The event had a huge total prize pool of $42.6 million, and even the runner up received a cool $10.1 million, not the worst way to lose is it ? The event saw more than 48 millionaires try their luck, including 28 professional Poker players and some of the very best in the business participated as well.

2. Daniel Colman – $15.3 Million

Nationality : USA
Winning Amount : $15,306,668
Total Prize Pool : $37.3 Million
Date : 29^th June 2014
Event : 2014 WSOP Event #57 – The Big One For One Drop

23 year old Dan Colman overcame 41 other professional Poker players to take home a staggering winning prize of $15.3 million, in June 2014. This was the second largest sum of money ever won by a single player in a Poker tournament. He also became popular on social media for showing absolutely no signs of joy after winning the massive amount.

Famous as an online Poker professional, Colman trusted his guts and brought his skill set to the actual tables at the 2014 WSOP – The Big One For One Drop event, a charity organization, which eventually managed to raise $4.6 million to provide clean water in developing countries. The total prize pool of this event was #37.3 Million.

It was fate that led Colman to that day, as back in 2012 he had actually contemplated leaving Poker for good and applying for college. However he messed up his applications and eventually decided to give Poker another shot.

Most Money Ever Won In A Poker Hands

3. Elton Tsang – $12.2 Million

Nationality : China
Winning Amount : $12,248,912
Total Prize Pool : $27.4 Million
Date : 29^th October 2016
Event : 2016 Monte-Carlo One Drop Extravaganza

Chinese professional Poker player Elton Tsang made the world sit up and notice when he bagged the third largest cash prize in a single Poker tournament, and the largest cash prize awarded in a Poker tournament held outside the USA, when he won a mammoth $12.2 million at the 2016 Monte-Carlo One Drop Extravaganza.

Born in Canada, Tsang is currently based in Hong Kong, and has been using his newly acquired wealth to accumulate property and other investments. He defeated 25 other players on his way to winning the big tournament, which had a total prize pool of $27 million, with each player buying in with $1million each.

4. Jamie Gold – $12 Million

Nationality : USA
Winning Amount : $12,000,000
Total Prize Pool : $82.5 Million
Date : 29^th July 2006
Event : 2006 WSOP Main Event #39

The current president of production of the entertainment company Buzznation, Jamie Gold gained worldwide stardom for his brilliant win at the 2006 WSOP Main Event.

Gold was only one out of a staggering 8773 different players who had purchased the buy in for the event, with the buy-in fixed at $10,000. This led to the largest ever prize pool in Poker history with a staggering total pool of $82.5 million. The prize money was distributed among the top 873 players (top 10%), with the highest amount being $12 million and the lowest amount being $14,597.

Jamie was notorious for his table antics which included showing his opponents some of his cards, and even mumbling strange things while playing, which had almost got him banned several times.

5. Martin Jacobsen – $10 Million

Nationality : Sweden
Winning Amount : $10,000,000
Total Prize Pool : $62.8 Million
Date : 14^th July 2014
Event : 2014 WSOP Main Event

Swedish professional Poker player Martin Jacobsen won the 5^th largest single event prize money when he bagged a cool $10 million after winning the 2014 WSOP main event. Born in Sweden but currently residing in London, Jacobsen attained instant stardom following his win.

His win was all the more remarkable because on the second day of the tournament, he actually was placed below the third shortest stack of chips, and managed to make a remarkable turnaround to finish second in the table on the second day. By the third day, he was well in the lead and ended up winning the grand prize. He was widely praised for his gutsy bet-sizing and his impeccable timing, 2 key reasons for his huge victory.

6. Peter Eastgate – $ 9.1 Million

Nationality : Denmark
Winning Amount : $9,152,416
Total Prize Pool : $64.3 Million
Date : 3^rd July 2008
Event : 2008 WSOP Main Event

Peter Eastgate, at that time, became the youngest ever player to win a World Series Of Poker Main Event, aged just 22 when he won $9.1 Million in July 2008. With a buy-in of $10,000 , Peter managed to beat scores of other fancied competitors on his way to winning the big one.

The final table lasted two days, with 274 hands taking place over a playing time of more than 15 hours, and at the end of the grueling session, Eastgate finally managed to defeat the experienced Ivan Demidov to win the title.

Having initially qualified for the main event through Ladbrokes’ website, his travel to Vegas for the event was also sponsored by the betting firm, and he was registered as part of Team Ladbrokes.

Eastgate also decided to eventually auction off his WSOP Gold Bracelet, with the amount of $147,000 being donated to UNICEF.

7. Jonathan Duhamel – $8.9 Million

Nationality : Canada
Winning Amount : $8,944,310
Total Prize Pool : $68.7 Million
Date : 9^th November 2010
Event : 2010 WSOP Main Event

In the second largest Poker event ever held, more than 7300 different players registered for a shot at a mega winning prize, each with a $10,000 buy in which took the total prize pool of the event to an unbelievable $68.7 Million, the second highest of all time.

After 4 long months of intense poker sessions, a champion was finally crowned in November 2010, as Jonathan Duhamel emerged as the winner of the 2010 WSOP Main Event and won a staggering amount of $8.9 Million.

Duhamel played brilliantly and was pretty much in the lead throughout the event, never looking like slowing down. With his win he became the first Canadian ever to win a WSOP Gold Bracelet, and also donated $100,000 to the Canadian Children’s Foundation, which was the largest single donation the charity organization ever received.

8. Pius Heinz – $8.7 Million

Nationality : Germany
Winning Amount : $ 8,711,956
Total Prize Pool : $64.5 Million
Date : 9^th November 2011
Event : 2011 WSOP Main Event

Pius Heinz became the first ever player from Germany to win Poker’s biggest prize when he won the 2011 WSOP Main Event, at the age of just 22. The Cologne born player took home a mammoth $8.7 million after overcoming 6865 different players in this mega event.

Players from over 85 different countries paid the $10,000 buy in fee for this event, taking the total tournament prize pool to $64.5 million.

The final table session lasted two days and Heinz was widely appreciated for his masterful strategies while playing. Among the final 9 players on the final table, Heinz ranked 7^th in terms of chips, and still managed to turn it all around and make a remarkable comeback to win against all odds.

The 2011 WSOP Main Event was the most watched Poker event in history, with people in more than 135 countries tuning in to catch the action live.

9. Joe Cada – $ 8.54 Million

Nationality : USA
Winning Amount : $ 8,547,042
Total Prize Pool : $ 61 Million
Date : 9^th November 2009
Event : 2009 WSOP Main Event

Joe Cada became the youngest ever WSOP Main Event winner when he won the 2009 event at the age of just 21, which is literally the age limit for gambling in the USA.

The youngster overcame 6494 other competitors on his way to winning $8.5 million, with the buy in for the tournament set at $10,000, taking the total prize money pool to $61 million. A total of 87 hands were played before Cada managed to defeat heavily fancied Darvin Moon, who still took home more than $5.1 million in winnings.

Even before his mammoth win on the final table, Cada had already been awarded a $1 million contract by PokerStars, a company which sponsored his accommodation as well as a percentage of his buy-ins.

Apart from Poker, Cada is also a professional indoor soccer player. Gambling runs in his family as his mother is a former blackjack dealer.

Most Money Ever Won In A Poker Handheld

10. Greg Merson – $8.52 Million

Nationality : USA
Winning Amount : $ 8,527,982
Total Prize Pool : $62 Million
Date : 9^th October 2012
Event : 2012 WSOP Main Event #61

American professional Greg Merson won an incredible $8.52 million when he overcame thousands of other players to capture the 2012 WSOP Bracelet.

With a final hand consisting of almost 400 hands, one of the most thrilling finales of recent times culminated in Merson’s victory, with runner up Jesse Sylvia also taking home a cool $5.29 million.

Formerly a drug addict, Merson’s story is inspiring as he overcame a lot of financial and psychological hurdles to reach where he is now. He was even ranked as 2012’s WSOP Player Of The Year, after adding the $10,000 No-Limit Texas Hold ’em to his title as well.

11. Ryan Riess – $8.3 Million

Nationality : USA
Winning Amount : $ 8,359,531
Total Prize Pool : $59.7 Million
Date : 9^th 05th November 2013
Event : 2013 WSOP Main Event #62

The then 23 year old Ryan Reiss shocked the Poker World when he finally managed to beat the heavy favourite Jay Farber at the 2013 WSOP Main Event, to take home a stunning winning amount of $8.3 million. The runner up also took home a huge sum of $5.1 million.

Most Money Ever Won In A Poker Handicap

The tournament, which begun back in July, saw a total 6352 Poker players trying their luck out. That number included many poker legends and favourites from around the globe. Reiss was considered as just another young rookie in the game. However, after the first 7 days he emerged as one of the November 9, with the 5^th largest stack going into the final round of the tournament.

Most Money Ever Won In A Poker Handed

Reiss gained widespread respect for his gesture of immediately acknowledging the runner up Farber, despite the whole crowd chanting his name wildly.

12. Jerry Yang – $8.25 Million

Nationality : Laos
Winning Amount : $ 8,250,000
Total Prize Pool : $59.78 Million
Date : 17^th July 2007
Event : 38^th WSOP Main Event 2007

Asian poker legend Jerry Yang enhanced his reputation as one of the best ever with a huge victory at the 2007 WSOP Main Event, when he outsmarted 6358 other entrants on his way to winning a mega prize of $8.25 Million. Already 40 years old during his win, Yang was one of the more experienced players on the card in Vegas.

The buy-in for the tournament was set at $10,000, with more than 6000 entrants buying in, leading to a huge prize pool of $59.7 million. Yang donated 10% of his winnings to various charities and also revealed his plans of sending all 6 of his children to the best universities and set them up for life.