Odds Charts:Ratio Chart : Percentage Chart : Conversion Chart
After dividing by (52-choose-5), the probability is 0.047539. A TRIPLE This hand has the pattern AAABC where A, B, and C are from distinct kinds. The number of such hands is (13-choose-1)(4-choose-3)(12-choose-2)4-choose-1^2. The probability is 0.021128. A FULL HOUSE This hand has the pattern AAABB where A and B are from distinct kinds. If you flop an open-ended straight draw this gives you eight outs (eight possible cards that will complete the hand), so you'll hit your hand by the river 31.5% of the time. Just make sure you're getting pot odds (the value of the pot versus the value of your bet) to see the next card. Three of a kind.
- The probability of hitting at least one set (i.e. You're dealt a pair and you flop a set with it) over 100 hands is almost exactly 50%. So over 100 hands you're as likely to hit at least one set as you are to not hit one. Over 500 hands the probability of not hitting a single set drops to only 3%.
- Hitting Quads: 4-of-a-kind is one of the strongest hands in Texas Hold'em, and it's a hand that – despite being very hard to get – probability wise, isn't actually too hard! The probability of making quads if you have a pair pre-flop, and make it all the way to the river, is 0.8163%, equating to odds of 1:122.
- In this first example, let's calculate the implied odds when facing a turn bet in a cash game. On a board of K♦9♣5♠3♥, your opponent makes a $30 bet into a pot of $100. You have J♠T♠ and estimate the equity of your hand to be 8% since you assume you need to hit your gutshot to win the pot.
This percentage poker odds chart Brian hansen poker. highlights the percentage chance of completing your draw based on the number of outs you have at different points in a hand. The odds of completing your draw have been rounded to 1 decimal place in this percentage chart.
Look below the table for more information on how to use the percentage odds chart.
Percentage odds chart.
| Outs | 1 Card To Come (flop) | 1 Card To Come (turn) | 2 Cards To Come (flop) |
|---|---|---|---|
| 1 | 2.1% | 2.2% | 4.3% |
| 2 | 4.3% | 4.3% | 8.4% |
| 3 | 6.4% | 6.5% | 12.5% |
| 4 (gutshot) | 8.5% | 8.7% | 16.5% |
| 5 | 10.6% | 10.9% | 20.4% |
| 6 | 12.8% | 13.0% | 24.1% |
| 7 | 14.9% | 15.2% | 27.8% |
| 8 (straight) | 17.0% | 17.4% | 31.5% |
| 9 (flush) | 19.1% | 19.6% | 35.0% |
| 10 | 21.3% | 21.7% | 38.4% |
| 11 | 23.4% | 23.9% | 41.7% |
| 12 | 25.5% | 26.1% | 45.0% |
| 13 | 27.7% | 28.3% | 48.1% |
| 14 | 29.8% | 30.4% | 51.2% |
| 15 (s + f) | 31.9% | 32.6% | 54.1% |
| 16 | 34.0% | 34.8% | 57.0% |
| 17 | 36.2% | 37.0% | 59.8% |
| 18 | 38.3% | 39.1% | 62.4% |
| 19 | 40.4% | 41.3% | 65.0% |
| 20 | 42.6% | 43.5% | 67.5% |
| 21 | 44.7% | 45.7% | 69.9% |
| 22 | 46.8% | 47.8% | 72.2% |
Percentage table key.
- Gutshot - A straight draw with only one card able to complete it. e.g. 6-8 on a 5-9-Q board (only a 7 completes).
- Straight - A standard open-ended straight draw with more outs. e.g. 6-8 on a 5-7-Q board (4 and 9 complete).
- Flush - A hand where another card of the same suit is needed to complete the draw.
- s + f - Both an open ended straight draw and flush combined. e.g. 6 8 on a 5 7 Q board.
How to use the percentage odds chart.
- Work out the number of outs you have (use the colours to help guide you).
- Look up the percentage odds of completing your draw depending on whether you are on the flop or turn.
That's simple enough, but why are there 2 columns for percentage odds on the flop? The first 2 columns with 1 card to come are the odds that you should be using most frequently. These are the standard odds that assume we could potentially face another bet on the next betting round.
The last 2 cards to come column is for when you or your opponent are being placed all in on the flop. Therefore, because you do not expect to have to call another bet or raise on future betting rounds, you can now use these improved odds for seeing 2 cards instead of 1.
If you can't remember or figure out the percentage odds of completing your draw in the middle of hand, try using the rule of 4 and 2 as a rough guide. It's a great little shortcut for percentage odds.
How to turn a percentage in to a ratio.
Divide 100 by the percentage. Then take 1 away from that number and you will have x to 1.
So for example, if you have a flush draw on the turn, the percentage chance of completing your draw is 19.6% (let's call it 20%).
- 100 / 20 = 5.
- 5 - 1 = 4.
- So the ratio is 4 to 1.
It is a good idea to round the percentages to a number that you can easily divide in to 100 to help keep the working out as simple as possible.
Quick percentage odds chart example.
If you have 12 outs to make the winning hand on the flop, you should only call a bet that is equal to 25.5% of the total pot, which is roughly 25%.
So for example, lets say that our opponent has bet $50 in to a $100 pot making it $150. Because we are using the percentage method, we have to add our own potential call of $50 to create a total pot size of $200 - don't forget this! Therefore, based on this final pot size of $200 we can call up to 25% of this amount, which turns out to be $50 anyway. It's a bit tricky, but just as long as you add your own potential call to create the final pot size you will be fine.
For more information on working out percentage odds with drawing hands, see the pot odds article.
Go back to the poker odds charts.
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So for example, if you have a flush draw on the turn, the percentage chance of completing your draw is 19.6% (let's call it 20%).
- 100 / 20 = 5.
- 5 - 1 = 4.
- So the ratio is 4 to 1.
It is a good idea to round the percentages to a number that you can easily divide in to 100 to help keep the working out as simple as possible.
Quick percentage odds chart example.
If you have 12 outs to make the winning hand on the flop, you should only call a bet that is equal to 25.5% of the total pot, which is roughly 25%.
So for example, lets say that our opponent has bet $50 in to a $100 pot making it $150. Because we are using the percentage method, we have to add our own potential call of $50 to create a total pot size of $200 - don't forget this! Therefore, based on this final pot size of $200 we can call up to 25% of this amount, which turns out to be $50 anyway. It's a bit tricky, but just as long as you add your own potential call to create the final pot size you will be fine.
For more information on working out percentage odds with drawing hands, see the pot odds article.
Go back to the poker odds charts.
Can You Afford Not To Use
Poker Tracker 4?
'I wouldn't play another session of online poker without it'
Odds Of Hitting Poker Hands
'I play $25NL, and in under 1 week PT4 had paid for itself'
Odds Of Hitting Poker Hands Wins
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