BASIC GAME INFO
Provided by Card Player Magazine
1. Royal flush
A, K, Q, J, 10, all the same suit.
2. Straight flush
Five cards in a sequence, all in the same suit.
3. Four of a kind
All four cards of the same rank.
4. Full house
Three of a kind with a pair.
5. Flush
Any five cards of the same suit, but not in a sequence.
6. Straight
Five cards in a sequence, but not of the same suit.
7. Three of a kind
Three cards of the same rank.
8. Two pair
Two different pairs.
9. Pair
Two cards of the same rank.
10. High Card
When you haven’t made any of the hands above, the highest card plays.
In the example below, the jack plays as the highest card.
BASIC ODDS AND OUTS
If you ever wanted to know some of the odds and probabilities of Texas hold’em poker, from the chances of flopping a flush (0.8%) or set (12%) to the odds of an overcard coming on the flop when you hold pocket jacks (57%), the CardPlayer.com Basic Poker Odds and Outs section is a good place to start your search for the answer. This section has plenty of numbers to satisfy your burning poker math questions, and more sections will be added constantly.
|
Hand |
Probability |
Odds |
|
|
||
|
A-Ks (or any specifically suited cards) |
0.00302 |
331-1 |
|
A-A (or any specific pair) |
0.00453 |
220-1 |
|
A-Ks, K-Qs, Q-Js, or J-10s (suited cards) |
0.0121 |
81.9-1 |
|
A-K (or any specific non-pair, incl. suited) |
0.0121 |
81.9-1 |
|
A-A, K-K, or Q-Q |
0.0136 |
72.7-1 |
|
A-A, K-K, Q-Q, or J-J |
0.0181 |
54.3-1 |
|
Suited cards, jack or better |
0.0181 |
54.3-1 |
|
A-A, K-K, Q-Q, J-J, or 10-10 |
0.0226 |
43.2-1 |
|
Suited cards, 10 or better |
0.0302 |
32.2-1 |
|
Suited connectors |
0.0392 |
24.5-1 |
|
Connected cards, 10 or better |
0.0483 |
19.7-1 |
|
Any two cards with rank at least queen |
0.0498 |
19.1-1 |
|
Any pocket pair |
0.0588 |
16-1 |
|
Any two cards with rank at least jack |
0.0905 |
10.1-1 |
|
Any two cards with rank at least 10 |
0.143 |
5.98-1 |
|
Connected cards (cards of consecutive rank) |
0.157 |
5.38-1 |
|
Any two cards with rank at least 9 |
0.208 |
3.81-1 |
|
Neither connected nor suited, at least one 2-9 |
0.534 |
0.873-1 |
ODDS OF MAKING A HAND WITH CERTAIN NUMBER OF OUTS
|
|
Prob. |
Odds |
Prob. |
Odds |
Prob. |
Odds |
|
|
|
|||||||
|
Inside straight flush; |
1 |
0.0213 |
46.0-1 |
0.0217 |
45.0-1 |
0.0426 |
22.5-1 |
|
Open-ended straight flush; |
2 |
0.0426 |
22.5-1 |
0.0435 |
22.0-1 |
0.0842 |
10.9-1 |
|
High pair |
3 |
0.0638 |
14.7-1 |
0.0652 |
14.3-1 |
0.1249 |
7.01-1 |
|
Inside straight; |
4 |
0.0851 |
10.8-1 |
0.0870 |
10.5-1 |
0.1647 |
5.07-1 |
|
Three of a kind or two pair |
5 |
0.1064 |
8.40-1 |
0.1087 |
8.20-1 |
0.2035 |
3.91-1 |
|
Either pair |
6 |
0.1277 |
6.83-1 |
0.1304 |
6.67-1 |
0.2414 |
3.14-1 |
|
Full house or four of a kind; (see note) |
7 |
0.1489 |
5.71-1 |
0.1522 |
5.57-1 |
0.2784 |
2.59-1 |
|
Open-ended straight |
8 |
0.1702 |
4.88-1 |
0.1739 |
4.75-1 |
0.3145 |
2.18-1 |
|
Flush |
9 |
0.1915 |
4.22-1 |
0.1957 |
4.11-1 |
0.3497 |
1.86-1 |
|
Inside straight or pair |
10 |
0.2128 |
3.70-1 |
0.2174 |
3.60-1 |
0.3839 |
1.60-1 |
|
Open-ended straight or high pair |
11 |
0.2340 |
3.27-1 |
0.2391 |
3.18-1 |
0.4172 |
1.40-1 |
|
Inside straight or flush; |
12 |
0.2553 |
2.92-1 |
0.2609 |
2.83-1 |
0.4496 |
1.22-1 |
|
|
13 |
0.2766 |
2.62-1 |
0.2826 |
2.54-1 |
0.4810 |
1.08-1 |
|
Open-ended straight or pair |
14 |
0.2979 |
2.36-1 |
0.3043 |
2.29-1 |
0.5116 |
0.955-1 |
|
Open-ended straight or flush; |
15 |
0.3191 |
2.13-1 |
0.3261 |
2.07-1 |
0.5412 |
0.848-1 |
|
|
16 |
0.3404 |
1.94-1 |
0.3478 |
1.88-1 |
0.5698 |
0.755-1 |
|
|
17 |
0.3617 |
1.76-1 |
0.3696 |
1.71-1 |
0.5976 |
0.673-1 |
|
Inside straight or flush or pair; |
18 |
0.3830 |
1.61-1 |
0.3913 |
1.56-1 |
0.6244 |
0.601-1 |
|
|
19 |
0.4043 |
1.47-1 |
0.4130 |
1.42-1 |
0.6503 |
0.538-1 |
|
|
20 |
0.4255 |
1.35-1 |
0.4348 |
1.30-1 |
0.6753 |
0.481-1 |
|
Open-ended straight, flush or pair |
21 |
0.4468 |
1.24-1 |
0.4565 |
1.19-1 |
0.6994 |
0.430-1 |
ODDS AGAINST FLOPPING
|
Hand |
Odds |
Percent |
|
|
||
|
A flush |
118-1 |
0.8% |
|
A straight when holding any two connecting cards J-10 through 5-4 |
76-1 |
1.3% |
|
Three of a kind when holding a pocket pair |
7.5-1 |
11.8% |
|
A pair (matching one of your holecards) |
2.45-1 |
29.0% |
ODDS OF TWO HANDS VS. EACH OTHER PRE-FLOP (APPROXIMATED)
|
Situation |
Hands |
Odds |
Percent |
|
|
|||
|
Higher pair vs. lower pair |
Js Jc vs. 7h 7d |
4.09-1 |
80.3% vs. 19.7% |
|
Pair vs. two higher cards |
7s 7c vs. Ah Jd |
1.23-1 |
55.1% vs. 44.9% |
|
Pair vs. two lower card |
Qs Qc vs. 9h 7d |
4.77-1 |
82.7% vs. 17.3% |
|
Pair vs. a higher and a lower card |
Js Jc vs. Ah 7d |
2.50-1 |
71.4% vs. 28.6% |
|
Two higher cards vs. two lower cards |
Qs Jc vs. 6h 5d |
1.70-1 |
62.9% vs. 37.1% |
|
A higher and a lower card vs. |
As 6c vs. Jh 9d |
1.27-1 |
55.9% vs. 44.1% |
|
Highest and third highest card vs. |
As 6c vs. Jh 2d |
1.73-1 |
63.3% vs. 36.7% |
|
Highest and common card vs. lowest and common card |
As Jc vs. Jh 9d |
2.74-1 |
73.3% vs. 26.7% |
CHANCE OF AN OVERCARD HITTING THE BOARD WHEN HOLDING A POCKET PAIR
|
Hand |
Overcard on Flop |
Overcard on Complete Board |
|
|
||
|
2-2 |
100% |
100% |
|
3-3 |
99.9% |
99.9997% |
|
4-4 |
99.4% |
99.988% |
|
5-5 |
98.1% |
99.91% |
|
6-6 |
95.8% |
99.6% |
|
7-7 |
92.1% |
98.8% |
|
8-8 |
86.7% |
96.9% |
|
9-9 |
79.3% |
93.3% |
|
10-10 |
69.5% |
86.9% |
|
J-J |
57% |
76.3% |
|
Q-Q |
41.4% |
59.9% |
|
K-K |
22.6% |
35.3% |
|
A-A |
0% |
0% |
PROBABILITY OF FACING A LARGER PAIR WHEN HOLDING ...
|
Hand |
Against 1 |
Against 2 |
Against 3 |
Against 4 |
Against 5 |
Against 6 |
Against 7 |
Against 8 |
Against 9 |
|
|
|||||||||
|
K-K |
0.0049 |
0.0098 |
0.0147 |
0.0196 |
0.0244 |
0.0293 |
0.0342 |
0.0391 |
0.0439 |
|
Q-Q |
0.0098 |
0.0195 |
0.0292 |
0.0388 |
0.0484 |
0.0579 |
0.0673 |
0.0766 |
0.0859 |
|
J-J |
0.0147 |
0.0292 |
0.0436 |
0.0577 |
0.0717 |
0.0856 |
0.0992 |
0.1127 |
0.1259 |
|
10-10 |
0.0196 |
0.0389 |
0.0578 |
0.0764 |
0.0946 |
0.1124 |
0.1299 |
0.1470 |
0.1637 |
|
9-9 |
0.0245 |
0.0484 |
0.0718 |
0.0946 |
0.1168 |
0.1384 |
0.1593 |
0.1795 |
0.1990 |
|
8-8 |
0.0294 |
0.0580 |
0.0857 |
0.1125 |
0.1384 |
0.1634 |
0.1873 |
0.2101 |
0.2318 |
|
7-7 |
0.0343 |
0.0674 |
0.0994 |
0.1301 |
0.1595 |
0.1874 |
0.2138 |
0.2387 |
0.2619 |
|
6-6 |
0.0392 |
0.0769 |
0.1130 |
0.1473 |
0.1799 |
0.2104 |
0.2389 |
0.2651 |
0.2890 |
|
5-5 |
0.0441 |
0.0862 |
0.1263 |
0.1642 |
0.1996 |
0.2324 |
0.2623 |
0.2892 |
0.3129 |
|
4-4 |
0.0490 |
0.0956 |
0.1395 |
0.1806 |
0.2186 |
0.2532 |
0.2841 |
0.3109 |
0.3334 |
|
3-3 |
0.0539 |
0.1048 |
0.1526 |
0.1967 |
0.2370 |
0.2729 |
0.3040 |
0.3300 |
0.3503 |
|
2-2 |
0.0588 |
0.1141 |
0.1654 |
0.2124 |
0.2546 |
0.2914 |
0.3222 |
0.3464 |
0.3633 |
PROBABILITY OF FACING MULTIPLE LARGER PAIRS WHEN HOLDING ...
|
Hand |
Against 1 |
Against 2 |
Against 3 |
Against 4 |
Against 5 |
Against 6 |
Against 7 |
Against 9 |
|
|
|
|||||||||
|
K-K |
< 0.00001 |
0.00001 |
0.00003 |
0.00004 |
0.00007 |
0.00009 |
0.00012 |
0.00016 |
|
|
Q-Q |
0.00006 |
0.00018 |
0.00037 |
0.00061 |
0.00091 |
0.00128 |
0.00171 |
0.00220 |
|
|
J-J |
0.00017 |
0.00051 |
0.00102 |
0.00171 |
0.00257 |
0.00360 |
0.00482 |
0.00621 |
|
|
10-10 |
0.00033 |
0.00099 |
0.00200 |
0.00335 |
0.00504 |
0.00709 |
0.00950 |
0.01226 |
|
|
9-9 |
0.00054 |
0.00164 |
0.00330 |
0.00553 |
0.00836 |
0.01177 |
0.01580 |
0.02045 |
|
|
8-8 |
0.00081 |
0.00244 |
0.00493 |
0.00828 |
0.01253 |
0.01769 |
0.02378 |
0.03084 |
|
|
7-7 |
0.00112 |
0.00341 |
0.00689 |
0.01160 |
0.01758 |
0.02487 |
0.03351 |
0.04353 |
|
|
6-6 |
0.00149 |
0.00454 |
0.00918 |
0.01550 |
0.02353 |
0.03335 |
0.04503 |
0.05861 |
|
|
5-5 |
0.00191 |
0.00583 |
0.01182 |
0.01998 |
0.03040 |
0.04318 |
0.05840 |
0.07619 |
|
|
4-4 |
0.00239 |
0.00728 |
0.01480 |
0.02506 |
0.03821 |
0.05438 |
0.07371 |
0.09635 |
|
|
3-3 |
0.00291 |
0.00890 |
0.01812 |
0.03075 |
0.04698 |
0.06699 |
0.09099 |
0.11919 |
|
|
2-2 |
0.00349 |
0.01068 |
0.02180 |
0.03706 |
0.05673 |
0.08107 |
0.11034 |
0.14484 |
|
PROBABILITY OF FACING AN ACE WITH LARGER KICKER WHEN HOLDING ...
|
Hand |
Against 1 |
Against 2 |
Against 3 |
Against 4 |
Against 5 |
Against 6 |
Against 7 |
Against 8 |
Against 9 |
|
|
|
||||||||||
|
AK |
0.00245 |
0.00489 |
0.00733 |
0.00976 |
0.01219 |
0.01460 |
0.01702 |
0.01942 |
0.02183 |
|
|
AQ |
0.01224 |
0.02434 |
0.03629 |
0.04809 |
0.05974 |
0.07126 |
0.08263 |
0.09386 |
0.10496 |
|
|
AJ |
0.02204 |
0.04360 |
0.06468 |
0.08529 |
0.10545 |
0.12517 |
0.14445 |
0.16331 |
0.18175 |
|
|
AT |
0.03184 |
0.06266 |
0.09250 |
0.12139 |
0.14937 |
0.17645 |
0.20267 |
0.22805 |
0.25263 |
|
|
A9 |
0.04163 |
0.08153 |
0.11977 |
0.15642 |
0.19154 |
0.22520 |
0.25745 |
0.28837 |
0.31799 |
|
|
A8 |
0.05143 |
0.10021 |
0.14649 |
0.19038 |
0.23202 |
0.27152 |
0.30898 |
0.34452 |
0.37823 |
|
|
A7 |
0.06122 |
0.11870 |
0.17266 |
0.22331 |
0.27086 |
0.31550 |
0.35741 |
0.39675 |
0.43369 |
|
|
A6 |
0.07102 |
0.13700 |
0.19829 |
0.25523 |
0.30812 |
0.35726 |
0.40291 |
0.44531 |
0.48471 |
|
|
A5 |
0.08082 |
0.15510 |
0.22338 |
0.28615 |
0.34384 |
0.39687 |
0.44561 |
0.49041 |
0.53160 |
|
|
A4 |
0.09061 |
0.17301 |
0.24795 |
0.31609 |
0.37806 |
0.43442 |
0.48567 |
0.53227 |
0.57465 |
|
|
A3 |
0.10041 |
0.19073 |
0.27199 |
0.34509 |
0.41085 |
0.47000 |
0.52322 |
0.57109 |
0.61416 |
|
|
A2 |
0.11020 |
0.20826 |
0.29552 |
0.37315 |
0.44223 |
0.50370 |
0.55840 |
0.60706 |
0.65037 |
|
A BOARD BEING DEALT CONSISTING OF ...
|
Board Texture |
Making on flop |
Making by turn |
Making by river |
|||
|
|
Prob. |
Odds |
Prob. |
Odds |
Prob. |
Odds |
|
|
||||||
|
Three or more of same suit |
0.05177 |
18.3-1 |
0.13522 |
6.40-1 |
0.23589 |
3.24-1 |
|
Four or more of same suit |
|
|
0.01056 |
93.7-1 |
0.03394 |
28.5-1 |
|
Rainbow flop (all different suits) |
0.39765 |
1.51-1 |
0.10550 |
8.48-1 |
|
|
|
Three cards of consecutive rank |
0.03475 |
27.8-1 |
0.11820 |
7.46-1 |
0.25068 |
2.99-1 |
|
Four cards to a straight (but not five) |
|
|
0.03877 |
24.8-1 |
0.18991 |
4.27-1 |
|
Three or more cards of |
0.00217 |
459-1 |
0.00869 |
114-1 |
0.02172 |
45.0-1 |
|
Three of a kind |
0.00235 |
424-1 |
0.00935 |
106-1 |
0.02128 |
46-1 |
|
A pair |
0.16941 |
4.90-1 |
0.30417 |
2.29-1 |
0.42450 |
1.36-1 |
|
Two pair (but not a full house) |
|
|
0.01037 |
95.4-1 |
0.04716 |
20.2-1 |