Every Texas Hold’em Poker Hand by Winning Percentage. These charts show the average winning percentage (its equity) of every Hold’em hand at showdown. To find a specific hand’s ranking look it up by its largest card. Unless noted, unpaired cards are unsuited. Suited cards add an average winning percentage of 3-4%. Useful resources for Poker Players & Online Poker Tools: Poker Variance Calculator, Tournament Variance Simulator, ICM Calculator and Pushbot-Charts. Overview of the most common poker probabilities and odds, including preflop odds, outs and formulas to calculate winning chances. 1 5 Powerful Tips to Dominate Local Poker Tournaments. 1.1 My Most Profitable Tips for Local Tournaments. Arm yourself with a lot of patience. 1.1.1.1 Ignore the playground antics; 1.2 2. Stay focused on the actual tournament. 1.2.1 Tune out the Kassoufs; 1.2.2 Patterns become clear with focus; 1.3 3. Forget about fancy moves against low-level players.

  1. Chances Of Winning Poker Tournament Tonight
  2. Chances Of Winning Poker Tournament 2020

This is a very important lesson and can also be quite intimidating to a lot of people as we are going to discuss Poker Math!

But there is no need for you to be intimidated, Poker Maths is very simple and we will show you a very simple method in this lesson.

You won’t need to carry a calculator around with you or perform any complex mathematical calculations.

What is Poker Math?

As daunting as it sounds, it is simply a tool that we use during the decision making process to calculate the Pot Odds in Poker and the chances of us winning the pot.

Remember, Poker is not based on pure luck, it is a game of probabilities, there are a certain number of cards in the deck and a certain probability that outcomes will occur. So we can use this in our decision making process.

Every time we make a decision in Poker it is a mathematical gamble, what we have to make sure is that we only take the gamble when the odds are on in our favour. As long as we do this, in the long term we will always come out on top.

When to Use Poker Maths

Poker Maths is mainly used when we need to hit a card in order to make our hand into a winning hand, and we have to decide whether it is worth carrying on and chasing that card.

To make this decision we consider two elements:

  1. How many “Outs” we have (Cards that will make us a winning hand) and how likely it is that an Out will be dealt.
  2. What are our “Pot Odds” – How much money will we win in return for us taking the gamble that our Out will be dealt

We then compare the likelihood of us hitting one of our Outs against the Pot Odds we are getting for our bet and see if mathematically it is a good bet.

The best way to understand and explain this is by using a hand walk through, looking at each element individually first, then we’ll bring it all together in order to make a decision on whether we should call the bet.

Consider the following situation where you hold A 8 in the big blind. Before the flop everyone folds round to the small blind who calls the extra 5c, to make the Total pot before the Flop 20c (2 players x 10c). The flop comes down K 9 4 and your opponent bets 10c. Let’s use Poker Math to make the decision on whether to call or not.

Poker Outs

When we are counting the number of “Outs” we have, we are looking at how many cards still remain in the deck that could come on the turn or river which we think will make our hand into the winning hand.

In our example hand you have a flush draw needing only one more Club to make the Nut Flush (highest possible). You also hold an overcard, meaning that if you pair your Ace then you would beat anyone who has already hit a single pair on the flop.

From the looks of that flop we can confidently assume that if you complete your Flush or Pair your Ace then you will hold the leading hand. So how many cards are left in the deck that can turn our hand into the leading hand?

  • Flush – There are a total of 13 clubs in the deck, of which we can see 4 clubs already (2 in our hand and 2 on the flop) that means there are a further 9 club cards that we cannot see, so we have 9 Outs here.
  • Ace Pair – There are 4 Ace’s in the deck of which we are holding one in our hand, so that leaves a further 3 Aces that we haven’t seen yet, so this creates a further 3 Outs.

So we have 9 outs that will give us a flush and a further 3 outs that will give us Top Pair, so we have a total of 12 outs that we think will give us the winning hand.

So what is the likelihood of one of those 12 outs coming on the Turn or River?

Professor’s Rule of 4 and 2

An easy and quick way to calculate this is by using the Professor’s rule of 4 and 2. This way we can forget about complex calculations and quickly calculate the probability of hitting one of our outs.

The Professor’s Rule of 4 and 2

  • After the Flop (2 cards still to come… Turn + River)
    Probability we will hit our Outs = Number of Outs x 4
  • After the Turn (1 card to come.. River)
    Probability we will hit our Outs – Number of Outs x 2

So after the flop we have 12 outs which using the Rule of 4 and 2 we can calculate very quickly that the probability of hitting one of our outs is 12 x 4 = 48%. The exact % actually works out to 46.7%, but the rule of 4 and 2 gives us a close enough answer for the purposes we need it for.

If we don’t hit one of our Outs on the Turn then with only the River left to come the probability that we will hit one of our 12 Outs drops to 12 x 2 = 24% (again the exact % works out at 27.3%)

To compare this to the exact percentages lets take a look at our poker outs chart:

After the Flop (2 Cards to Come)After the Turn (1 Card to Come)
OutsRule of 4Exact %OutsRule of 2Exact %
14 %4.5 %12 %2.3 %
28 %8.8 %24 %4.5 %
312 %13.0 %36 %6.8 %
416 %17.2 %48 %9.1 %
520 %21.2 %510 %11.4 %
624 %25.2 %612 %13.6 %
728 %29.0 %714 %15.9 %
832 %32.7 %816 %18.2 %
936 %36.4 %918 %20.5 %
1040 %39.9 %1020 %22.7 %
1144 %43.3 %1122 %25.0 %
1248 %46.7 %1224 %27.3 %
1352 %49.9 %1326 %29.5 %
1456 %53.0 %1428 %31.8 %
1560 %56.1 %1530 %34.1 %
1664 %59.0 %1632 %36.4 %
1768 %61.8 %1734 %38.6 %

As you can see the Rule of 4 and 2 does not give us the exact %, but it is pretty close and a nice quick and easy way to do the math in your head.

Now lets summarise what we have calculated so far:

  • We estimate that to win the hand you have 12 Outs
  • We have calculated that after the flop with 2 cards still to come there is approximately a 48% chance you will hit one of your outs.

Now we know the Odds of us winning, we need to look at the return we will get for our gamble, or in other words the Pot Odds.

Pot Odds

When we calculate the Pot Odds we are simply looking to see how much money we will win in return for our bet. Again it’s a very simple calculation…

Pot Odds Formula

Pot Odds = Total Pot divided by the Bet I would have to call

Chances Of Winning Poker Tournament Tonight

What are the pot odds after the flop with our opponent having bet 10c?

  • Total Pot = 20c + 10c bet = 30 cents
  • Total Bet I would have to make = 10 cents
  • Therefore the pot odds are 30 cents divided by 10 cents or 3 to 1.

What does this mean? It means that in order to break even we would need to win once for every 3 times we lose. The amount we would win would be the Total Pot + the bet we make = 30 cents + 10 cents = 40 cents.

Bet numberOutcomeStakeWinnings
1LOSE10 centsNil
2LOSE10 centsNil
3LOSE10 centsNil
4WIN10 cents40 cents
TOTALBREAKEVEN40 cents40 cents

Break Even Percentage

Now that we have worked out the Pot Odds we need to convert this into a Break Even Percentage so that we can use it to make our decision. Again it’s another simple calculation that you can do in your head.

Break Even Percentage

Break Even Percentage = 100% divided by (Pot odds added together)

Let me explain a bit further. Pot Odds added together means replace the “to” with a plus sign eg: 3 to 1 becomes 3+1 = 4. So in the example above our pot odds are 3 to 1 so our Break Even Percentage = 100% divided by 4 = 25%

Note – This only works if you express your pot odds against a factor of 1 eg: “3 to 1” or “5 to 1” etc. It will not work if you express the pot odds as any other factor eg: 3 to 2 etc.

So… Should You call?

So lets bring the two elements together in our example hand and see how we can use the new poker math techniques you have learned to arrive at a decision of whether to continue in the hand or whether to fold.

To do this we compare the percentage probability that we are going to hit one of our Outs and win the hand, with the Break Even Percentage.

Should I Call?

  • Call if…… Probability of Hitting an Out is greater than Pot Odds Break Even Percentage
  • Fold if…… Probability of Hitting an Out is less than Pot Odds Break Even Percentage

Our calculations above were as follows:

  • Probability of Hitting an Out = 48%
  • Break Even Percentage = 25%

If our Probability of hitting an out is higher than the Break Even percentage then this represents a good bet – the odds are in our favour. Why? Because what we are saying above is that we are going to get the winning hand 48% of the time, yet in order to break even we only need to hit the winning hand 25% of the time, so over the long run making this bet will be profitable because we will win the hand more times that we need to in order to just break even.

Hand Walk Through #2

Lets look at another hand example to see poker mathematics in action again.

Before the Flop:

  • Blinds: 5 cents / 10 cents
  • Your Position: Big Blind
  • Your Hand: K 10
  • Before Flop Action: Everyone folds to the dealer who calls and the small blind calls, you check.

Two people have called and per the Starting hand chart you should just check here, so the Total Pot before the flop = 30 cents.

Flop comes down Q J 6 and the Dealer bets 10c, the small blind folds.

Do we call? Lets go through the thought process:

How has the Flop helped my hand?
It hasn’t but we do have some draws as we have an open ended straight draw (any Ace or 9 will give us a straight) We also have an overcard with the King.

Chances Of Winning Poker Tournament 2020

How has the Flop helped my opponent?
The Dealer did not raise before the flop so it is unlikely he is holding a really strong hand. He may have limped in with high cards or suited connectors. At this stage our best guess is to assume that he has hit top pair and holds a pair of Queens. It’s possible that he hit 2 pair with Q J or he holds a small pair like 6’s and now has a set, but we come to the conclusion that this is unlikely.

How many Outs do we have?
So we conclude that we are facing top pair, in which case we need to hit our straight or a King to make top pair to hold the winning hand.

  • Open Ended Straight Draw = 8 Outs (4 Aces and 4 Nines)
  • King Top Pair = 3 Outs (4 Kings less the King in our hand)
  • Total Outs = 11 Probability of Winning = 11 x 4 = 44%

What are the Pot Odds?
Total Pot is now 40 cents and we are asked to call 10 cents so our Pot odds are 4 to 1 and our break even % = 100% divided by 5 = 20%.

Decision
So now we have quickly run the numbers it is clear that this is a good bet for us (44% vs 20%), and we make the call – Total Pot now equals 50 cents.

Turn Card

Turn Card = 3 and our opponent makes a bet of 25 cents.

After the Turn Card
This card has not helped us and it is unlikely that it has helped our opponent, so at this point we still estimate that our opponent is still in the lead with top pair.

Outs
We still need to hit one of our 11 Outs and now with only the River card to come our Probability of Winning has reduced and is now = 11 x 2 = 22%

Pot Odds
The Total Pot is now 75 cents and our Pot odds are 75 divided by 25 = 3 to 1. This makes our Break Even percentage = 100% divided by 4 = 25%

Decision
So now we have the situation where our probability of winning is less than the break even percentage and so at this point we would fold, even though it is a close call.

Summary

Well that was a very heavy lesson, but I hope you can see how Poker Maths doesn’t have to be intimidating, and really they are just some simple calculations that you can do in your head. The numbers never lie, and you can use them to make decisions very easy in Poker.

You’ve learnt some important new skills and it’s time to practise them and get back to the tables with the next stage of the Poker Bankroll Challenge.

Poker Bankroll Challenge: Stage 3

  • Stakes: $0.02/$0.04
  • Buy In: $3 (75 x BB)
  • Starting Bankroll: $34
  • Target: $9 (3 x Buy In)
  • Finishing Bankroll: $43
  • Estimated Sessions: 3

Use this exercise to start to consider your Outs and Pot Odds in your decision making process, and add this tool to the other tools you have already put into practice such as the starting hands chart.

Chances Of Winning Poker Tournament

Joseph Hebert won the ‘Domestic Tournament’ of the 2020 World Series of Poker $10,000 buy-in no-limit hold’em main event Monday evening in Las Vegas.

Tournaments

The 38-year-old poker player and part-time waiter from Metairie, Louisiana navigated his way through a field of 705 total entries in the US-facing segment of this year’s uniquely formatted flagship event of the WSOP. He survived two days of online poker action to make the live and in-person final table that played out on Dec. 28 at the Rio All-Suite Hotel & Casino. Hebert emerged victorious from the final eight players that reconvened in Las Vegas, capturing the title and the top prize of $1,553,256.

Herbert dedicated the win to his late mother, Linda, who passed away earlier this year due to a pulmonary embolism. His last text conversation with his mother had been about his dream of winning a WSOP bracelet. He is now set to face off against WSOP main event ‘International Tournament’ winner Damian Salas on Sunday, Jan. 3 at the Rio, with the championship gold bracelet and $1,000,000 in added prize money on the line.

“I am just so excited!” said Hebert at the start of his post-win press conference. He went on to say, “I’m gonna take this all in. Winning this tournament was my ultimate goal, for my mom, but having the freeroll is just another bonus. I’m just going to take my time and figure out what to do about that, and go from there.”

The win brought Hebert’s lifetime live tournament earnings to $2,168,314. His largest score prior to this victory was $140,932, which he earned as the runner-up in the 2013 WSOP Circuit Harrah’s New Orleans main event.

The ‘Domestic Tournament’ final table was the talk of the poker world before cards even got in the air at 3:00 p.m. pacific time on Monday, Dec. 28. Unfortunately, the typical chatter about who might win or discussion of interesting backstories of the competitors was drowned out by the breaking news that Upeshka De Silva was reportedly being disqualified from the event due to testing positive for COVID-19 on the day before the final table began. The three-time WSOP bracelet winner from Texas was ultimately awarded ninth-place money as a result, earning $98,813.

De Silva’s stack was officially removed from play, which meant that only eight players converged on the final table stage in the Rio in order to battle it out on the felt. Gershon Distenfeld began the day in sixth chip position but got off to a slow start. He lost a considerable chunk of his stack just a few hands into the action when he ran pocket tens into the pocket queens of short stack Harrison Dobin. The superior pair held up and Distenfeld found himself at the bottom of the chip counts. Just a couple of hands after that, he got the last of his stack in with KJ against the pocket queens of Ron Jenkins. Distenfeld failed to improve and was eliminated in eighth place. He earned $125,885 for his deep run in this event, all of which he intends to donate to charitable causes. The 44-year-old works in finance and has been committed to philanthropic works for years now.

“There is a parallel to investing: you don’t blindly invest in companies, you also don’t blindly invest in a charity. You have to do your research. My wife and I have been very fortunate to be blessed with resources. We have spent our time, not only donating money but also getting involved in charities and getting our hands dirty. We didn’t have to start from scratch, as we decided to give to charities that we have been involved with for a long time,” said Distenfeld after being eliminated. “We are in a pandemic now and the need is greater than ever.”

Seven-handed action continued for more than two-and-a-half hours. Shawn Stroke was the next to fall. The 31-year-old Long Island native came into the day in second chip position but fell to the bottom of the leaderboard during the early hours of play. He got his last chips in preflop with pocket threes, only to have Harrison Dobin three-bet all-in over the top with A-K and Ron Jenkins call all-in behind with pocket queens. Jenkins’ big pair held up through the river and Stroke was eliminated in seventh place, earning $163,786 for his strong showing.

Dobin was left with just four big blinds after the hand, while Jenkins surged up the chip counts. Dobin got his last chips with 5-3 offsuit up against the K-2 offsuit of Hebert, who had raised on the button. Hebert flopped two pair and held from there to send Dobin home in sixth place. The 26-year-old earned $215,222, having laddered up several pay jumps despite starting the final table as the shortest stack.

25-year-old Wisconsin-based mathematics doctoral candidate Ye Yuan’s run in this event came to an end when his A10 couldn’t outrun the 44 of Hebert. Neither player improved and Yuan was knocked out in fifth place ($286,963).

The final four battled it out for more than half an hour before the next elimination took place. In a battle of the blinds, Ron Jenkins shoved all-in from the small blind with AJ and Ryan Hagerty called from the big blind with A8. Both players paired their live cards on the flop, but Hagerty received no further help and was sent home in fourth place. The 28-year-old poker player earned $387,130 for the largest live tournament score of his career.

Just six hands after Hagerty was eliminated, his sometimes-roommate on the live tournament circuit Michael Cannon joined him on the rail. Cannon three-bet all-in over the button min-raise of Hebert holding KQ. Hebert quickly called the shove of around 16 big blinds with AA. A clean runout saw the 29-year-old former professional video game player knocked out in third place. He took home $529,258 for his deep run, by far the largest live tournament cash of his career.

With that, Hebert took just over a 2:1 chip lead into heads-up play against Ron Jenkins, who had begun the day as the second shortest stack with just 17 big blinds. Jenkins has plenty of experience on the felt, with nearly $400,000 in prior live tournament cashes to his name.

The two took a short break before resuming action. On the very first hand back, Hebert raised to 700,000 on the button with AQ. Jenkins three-bet to 2,300,000 with QQ. Hebert four-bet all-in and Jenkins called off his last 10.8 million or so. He was ahead preflop with his pocket queens, but an AK748 runout secured the pot and the title for Hebert.

“I thought it was going to be a battle heads-up,” said Hebert. “[Jenkins] plays a lot of long-ball, making big bets. I thought I was going to have to pick my spots, but I certainly didn’t expect it to end like that. I don’t think anybody did. I don’t even think the camera crew was ready to film (laughs).”

Jenkins earned $1,002,340 as the runner-up finisher, while Hebert set up his final showdown for the bracelet against WSOP main event International Tournament winner Damian Salas.

“I really don’t know that much about Damian. I need to read up on him a little more. I was trying to focus on this final table first,” revealed Hebert after coming out on top. “I’m super excited and can’t wait to face him.”

The two will take a seat opposite each other starting at 5:00 p.m. pacific time on Sunday, Jan. 3, with the championship gold bracelet and $1,000,000 in added prize money up for grabs.

Here is a look at the payouts awarded at the final table:

PlaceNameEarnings
1 Joseph Hebert $1,553,256
2 Ron Jenkins $1,002,340
3 Michael Cannon $529,258
4 Ryan Hagerty $387,130
5 Ye Yuan $286,963
6 Harrison Dobin $215,222
7 Shawn Stroke $163,786
8 Gershon Distenfeld $125,885
9 Upeshka De Silva $98,813

Hebert photo credit: GGPoker Twitter Account.

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