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How many cards to draw?

Table 10 recommends how many cards to draw with each holding from one pair to a four-card, double-ended straight flush and the chances of improving in terms of probability and approximate odds.

TABLE 10: Recommended draws and chances of improvement

Cards held

 

Number of cards to draw

Improvement to

Probability

Approx odds against

One pair

 

3

Two pairs
Three of a kind
full house
Four of a kind
Any improvement

0.171
0.114
0.010
0.003
0.298

1 to 1
2 to 1
97 to 1
359 to 1
2.4 to 1

One pair with Ace

 

2

Two pairs (Aces up
Two pairs (not Aces)
Three of a kind
Full house (Aces up)
Full house (not Aces up)
Four of a kind
Any improvement

0.117
0.056
0.078
0.003
0.006

0.001
0.261

7.6 to 1
17 to 1
11.9 to 1
359 to 1
179 to 1

1080 to 1
2.8 to 1

Two pairs

 

1

Full house

0.085

10.8to 1

Three of a kind

 

2

Full house
Four of a kind
Any improvement

0.061
0.043
0.104

15.4 to 1
22.5 to 1
8.6 to 1

Double-ended straight

 

1

Straight

0.170

4.9 to 1

Straight with single end or gap in middle

 

1

Straight

0.085

10.8 to 1

Four-card flush

 

1

Flush

0.191

4.2 to 1

Double-ended straight flush

 

1

Straight flush
Flush
Straight
Any improvement

0.043
0.148
0.128
0.318

22.5 to 1
5.8 to 1
6.8 to 1
2.1 to 1

Straight flush with single end or gap in middle

 

1

Straight flush
Flush
Straight
Any improvement

0.021
0.170
0.064
0.255

46 to 1
4.9 to 1
14.7 to 1
2.9 to 1


TABLE 11: wild of each hand at the betting interval

Hand held

Number of variations

Number of better hands

Number of better hands (per cent)

Straight flush

40

0

0

Fours

624

40

0.002

Full house

3,744

664

0.025

Flush

5,108

4,408

0.170

Straight

10,200

9,516

0.336

Three of kind

54,912

19,716

0.759

Two pairs

123,552

74,628

2.872

Pair of aces

84,480

198,180

7.625

Pair of kings

84,480

282,660

10.876

Pair of Queens

84,480

376,140

14.473

Pair of Jacks

84,480

451,620

17,377

Pair of 10s

84,480

536,100

20.627

Pair of 9s to pair of 2s

675,840

620,580

23.878

No pair

1,302,540

1,296,420

49.882


Values of hands containing a single pair

We have not considered so far the comparative value of hands that hold a single pair and, since a hand containing a pair will beat half the hands dealt before the first betting interval, and a pair of 10s will beat roughly four out of every five, it is worth considering the status of a single pair. Table 11 shows the values of hands down to no pair, by giving the percentage of beaten at the deal by just 17 per cent of opposing poker hands, or fewer than one in five, while a pair of aces will be beaten by less than eight per cent, or fewer than one in twelve.

Strategy before the draw

The first decision you have to make after the deal is whether to fold, check, call, bet or raise. In making this decision you will naturally be assessing your hand, at the same time deciding which cards you will discard in the draw if you remain in the deal that long. The cards to discard will almost always be obvious but it is essential that you do not set them aside or rearrange your hand by putting them to one end of the fan or in any other way give other players a clue as to how many you intend to discard. There’s no point in giving away any information before you have to.

Where are you sitting?

In some positions at the table you might not get the opportunity to check, and in fact wherever you sit your position relative to the dealer will affect ♣ 5, ♥ 4 – a pair of Jacks. Look back at Table 4. It shows that if you are one of the six players, you have a 32 per cent chance of holding the good hand at the table.

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