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   These tables are from the Mike Caro collection that was first published in Doyle Brunson's Super/System in 1977.

   THE PROBABILITY OF BEING DEALT SPECIFIC HOLD 'EM HANDS BEFORE THE FLOP

The probability of being dealt... Expressed in percent (%) is... The odds against it are...
2-Aces
2-Kings through 2-Jacks
2-Tens through 2-Sixes
2-Fives through 2-Deuces
0.45
1.36
2.26
1.81
220 to 1
72.7 to 1
43.2 to 1
54.3 to 1
Ace-King suited
Ace-King offsuit
Ace-Queen or Ace-Jack suited
Ace-Queen to Ace-Jack offsuit

0.30
0.90
0.60
1.81
331 to 1
110 to 1
165 to 1
54.3 to 1
King-Queen suited
King-Queen offsuit
0.30
0.90
331 to 1
110 to 1
Ace with less than Jack, suited
Ace with less than Jack, offsuit
2.71
8.14
35.8 to 1
11.3 to 1
ANY Pair
ANY two cards suited
ANY two cards adjacent and suited
   with maximum stretch*
ANY two cards adjacent and offsuit
   with maximum stretch*
ANY hand with a Pair or an Ace
5.88
23.53
2.11
 
6.33
 
20.36
16 to 1
3.25 to 1
46.4 to 1
 
14.8 to 1
 
3.91 to 1

Total Hands: 1,326

* Two cards in order, allowing the maximum chance at a Straight. The lowest 
   eligible combination is 5-4. The highest eligible combination is Jack-10.

   FLOPS FOR SELECTED HOLD 'EM HANDS

Selection A) YOU HOLD A - K:

The probability that the Flop will be... Expressed in percent (%) is... The odds against it are... Note
Q - J -10 0.01 19,599 to 1 * Makes Royal Flush
A - A - A or K - K - K 0.01 9,799 to 1 * Makes 4-Aces or 4-Kings
A - A - K or K - K - A 0.09 1,088 to 1 * Makes Aces Full or Kings Full
Three Diamonds other than Q - J - 10 0.84 119 to 1 * Makes Flush
Two Diamonds with an Ace or King 1.68 58.4 to 1 * Makes Aces or Kings with four-Flush or four parts of Straight-Flush
Two Diamonds with a Pair of 2's - Q's 1.68 58.4 to 1 * Four parts of Flush or Straight-Flush, the Pair is unfavorable
Two Diamonds, not with a Pair of 2's - Q's and not Q - J - 10 7.53 12.3 to 1 * Four parts of Flush or Straight-Flush
Q - J - 10 (not all Diamonds) 0.32 310 to 1 * Makes Straight
Pair less than Kings, with one or no Diamonds 11.79 7.48 to 1 * Unfavorable
Three of another suit 4.38 21.8 to 1 * Danger, even if Q - J - 10
Ace-King and smaller card 2.02 48.5 to 1 * Makes Aces and Kings
Three-of-a-kind 2's - Q's 0.22 444 to 1 * Unfavorable unless no one holds Fourth one or Pair
ANY Flop which includes an Ace or King 32.43 2.08 to 1 * Makes key Pair or better
ANY two Diamonds 10.94 8.14 to 1 * Four parts of a Flush or Straight-Flush
A - A with 2 - Q or K - K with a 2 - Q 1.35 73.2 to 1 * Makes key Three-of-a-kind
 

Number of possible Flops: 19,600

 

FLOPS FOR SELECTED HOLD 'EM HANDS

Selection B) YOU HOLD A PAIR OF KINGS: K - K:

The probability that the Flop will be... Expressed in percent (%) is... The odds against it are... Note
K - K and card other than King 0.24 407 to 1 * Makes 4-Kings
King and 2 - Aces 0.06 1,632 to 1 * Kings Full
Ace-King and smaller card 1.80 54.7 to 1 * 3-Kings, possible trouble if 2nd Ace fails
King and smaller Pair 0.67 147 to 1 * Makes Kings Full
King and un-paired smaller cards 8.98 10.1 to 1 * Makes 3-Kings
A - A - A 0.02 4,899 to 1 * Makes Aces Full, but you lose if someone has the last Ace
2-Aces and other, 2-Q 1.35 73.2 to 1 * Dangerous
Three-of-a-kind, 2's - Q's 0.22 444 to 1 * Dangerous
Three suited cards, Clubs or Spades 2.24 43.5 to 1 * Four parts of a Flush, much better if it includes Ace
Three suited cards, Diamonds or Hearts 2.92 33.3 to 1 * Unfavorable
Q-J-10, other than all three Spades or three Clubs 0.32 315 to 1 * Open-end Straight (probable trouble)
Pair of 2's - Q's, and another card (But not King) 14.82 5.75 to 1 * Kings-up and trouble
Q-J-10, Clubs or Spades 0.01 9,799 to 1 * Open-end Straight Flush
ANY Flop including at least 1 King 11.76 7.51 to 1 * Generally very favorable
1 Ace and two cards, 2-Q, (including a Pair of 2's - Q's) 19.31 4.18 to 1 * Bad news
1 Ace and two cards, 2-Q, excluding a Pair 17.96 4.57 to 1 * Unfavorable

Number of possible Flops: 19,600

 

FLOPS FOR SELECTED HOLD 'EM HANDS

Selection C) YOU HOLD Q - J (For related Flops, see Selection A)

The probability that the Flop will be... Expressed in percent (%) is... The odds against it are... Note
Q - Q - Q or J - J - J 0.01 9,799 to 1 * Makes 4-Queens or 4-Jacks
Q - Q - J or J - J - Q 0.09 1,088 to 1 * Full House: Q - Q - J is better (2,177 to 1)
A - K - 10 0.33 305 to 1 * Makes Ace-high Straight -- 3.13% of these will also be four parts of a Straight-Flush
K - 10 - 9 or 10 - 9 - 8 0.65 152 to 1 * Makes Straight -- 3.13% of these will also be four parts of a Straight-Flush
ANY Straight when combined with your hand 0.98 101 to 1 * A - K - 10, K - 10 - 9 or 10 - 9 - 8
K - 10 and any other card, or 10 - 9 and any other card (No Straight) 6.04 15.6 to 1 * Open-end Straight -- 16.22% of these include a Pair of Jacks or Queens, 8.11% include a cold Pair
Three suited cards (your suits) 2.24 43.5 to 1 * Four parts of a Flush or Straight-Flush -- 0.03% of these already make Straights, 25% include a Pair of Queens or Jacks
Q - Q - Other, or J - J - Other, (not Full House) 1.35 73.2 to 1 * Makes Three-of-a-kind
ANY Flop without an Ace or King 58.57 0.71 to 1 * Sometimes helpful, but often hopeless
ANY Flop without an Ace 77.45 0.29 to 1 * Generally helpful
Queens or Jack with smaller pair 1.65 59.5 to 1 * Queens-up or Jacks-up
ANY Flop without a Queen or Jack 67.57 0.48 to 1 * Not good unless a Straight, four-Straight or four-Flush
A - A or K - K with a Queen or Jack 0.37 271 to 1 * Makes a very unfavorable Aces-up or Kings-up

Number of possible Flops: 19,600



HOLD 'EM - FROM FLOP TO FINISH

Selection A) YOU HOLD A - A , AND THE FLOP IS K - Q - J:

The probability that the final strength of your hand will be... Expressed in percent (%) is... The odds against it are... Note
4-Aces 0.09 1,080 to 1 * Lock
Aces Full 1.67 59.1 to 1 * Could lose to 4 - Kings, 4 - Queens, or 4 - Jacks (whichever Pair is on the Board)
Other Full 0.83 119 to 1 * A player holding the 4th Jack, Queen or King wins, otherwise you have a lock (could tie)
Straight 16.47 5.07 to 1 * Okay, but a tie is threatened and opponent could have a Flush if the three on the Board are suited -- or Full House if a Pair is on the Board
3-Aces 5.92 15.9 to 1 * Very favorable (Unless all three Board cards are suited, you can only lose to a Straight)
Aces-up 33.58 1.98 to 1 * You're better off without the 'ups' on the Board
Aces 41.44 1.41 to 1 * Might win
HOLD 'EM - BASIC DATA

The probability that... Expressed in percent (%) is... The odds against it are...
You will hold a Pair before the Flop

You will hold suited cards before
the Flop

You will hold 2 Kings or 2 Aces
before the Flop

You will hold Ace-King before the Flop

You will hold at least 1 Ace before
the Flop
5.88

23.53


0.90


1.21

14.93

16 to 1

3.25 to 1


110 to 1


81.9 to 1

5.70 to 1

If you have four parts of a Flush after
the Flop, you will make it

If you have four parts of an Open-end
Straight-Flush after the Flop, you will
make a Straight-Flush

If you have four parts of an Open-end
Straight Flush after the Flop, you will
make at least a Straight

If you have Two-Pair after the Flop,
you will make a Full House or better*

If you have Three-of-a-kind after the
Flop, you will make a Full House or
better*


If you have a Pair after the Flop at
least one more of that kind will turn up
(on the last two cards)
34.97


8.42



54.12



16.74


33.40



8.42


1.86 to 1


10.9 to 1



0.85 to 1



4.97 to 1


1.99 to 1



10.9 to 1


If you hold a Pair, at least one more
of that kind will Flop

If you hold no Pair, you will pair at
least one of your cards on the Flop

If you hold two suited cards, two or more
of that suit will Flop
11.76


32.43


11.79

7.51 to 1


2.08 to 1


7.48 to 1

If you begin suited and stay through
seven cards, three more (But not
four or five more!)
of your suit
will turn up

If you begin paired and stay through
seven cards, at least one more of
your kind will turn up
5.77




19.18


16.3 to 1




4.21 to 1



* Includes unfavorable Full Houses.

 

 






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