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Introduction
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Games you Can Play
General Rules
Imperfect Deck
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Draw Poker
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Draw Poker
General Rules of Poker
Stander Hand Rank of Poker
Basic Draw Poker Rule
Draw Poker Variation
Low and High-Low Variation
Spit Card Variants Poker
Miscellaneous Draw Poker Variants

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Stud Poker
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Stud Poker
Five Card Stud Variation
Miscellaneous Stud Poker Variants
General Poker strategy
Possible Poker Hands
Paring your Hole Card

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Rummy Games
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Rummy Games
Six Seven Card Straight
PIF-PAF
Six Seven Card Knock Rummy
Coon Can
Five Hundred Rummy
Continental Rummy
Fortune Rummy
Kalooki (CALOOCHI)
PAN

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Gin Rummy =================

Gin Rummy
Standard Hollywood Gin Rummy
Jersey Gin

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Canasta
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Canasta
Variation of Canasta
Typical Four-Handed Score Sheet

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Bridge: Contract and Auction =================
Contract and Auction
Contract Bridge Scoring Table
Bridge Poker
Minimum Biddable Suits
CONVENTIONAL LEADS
CHANCES OF VARIOUS SUIT
The Laws of Progressive Contract Bridge
The Laws of Duplicate Contract Bridge
Auction bridge

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Cribbage and How it is Played
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Cribbage how to Play
Strategy at Cribbage

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Casino
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Casino
Strategy at Casino

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Children and Family Card Games
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Family Card Games
Old Maid
Animals or menagerie
TWENTY –ONE

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Miscellaneous Card Games
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Miscellaneous Card Games
Briscola
Primiera
Scotch whist
Lift smoke
Preference
Grand
Crazy eights

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Solitaire and Patience Games =================

Solitaire and Patience Games
Single-deck solitaire
Decade
Auld Lang Syne
Klondike
Four Seasons
Beleaguered Castle
Trefoil
Poker Solitaire
Two-deck solitaire
Tournament
Multiple solitaires

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Chess, Checkers, and Teeko
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Chess
Checkers
Teeko
Standard Teeko Strategy
Start Teeko Game
Standard Checkers Law

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Parlor Games for All
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Parlor Games
Twenty Questions

POSSIBILE POKER HANDS IN A 52-CARDS DECK

Ranking Order of Hands

Number of Possible Ways  Hand Can be Made

Chance of Being Dealt in Original 5 cards

Royal flush

4

1 in  649,740

Straight flush

36

1 in72,193

Four of a kind

624

1 in 4,165

Full house

3,744

1 in 694

Flush

5,108

1 in 509

Straight

10,200

1 in 255

Three of a kind

54,912

1 in 47

Two pairs

1,23,552

1 in 21

One pair

1,098,240

1 in 2 2/5

No-pair hand

1,302,540

1 in 2

Total

2,598,960

 

            In the  Chance column above, fractional figures have been rounded out to the nearest 2/5 or whole number.  The probability of being dealt a pair or better in the first five cards dealt is almost even and the probability  of being dealt a no-pair hand is practically the same.  So it’s almost a three-to-one chance, when playing against two opponents, that one of them will hold a pair or better in the first five dealt cards.  The probabilities  vary slightly depending on what you hold.

            The 1,302,540 possible five-card no-pair hands are divided as follows:

 

POSSIBILE POKER HANDS OF LESS VALUE THAN ONE PAIR
IN A 52-CARDS DECK

Ace Counting High

King Counting High, Ace Low

Number of Possible No-Pair hands

Ace high

King high

502,860

King high

Queen high

335,580

Queen high

Jack high

213,500

Jack high

Ten high

127,500

Ten high

Nine high

70,380

Nine high

Eight high

34,680

Eight high

Seven high

14,280

Seven high

Six high

4,080

 

 

1,302,540

CHANCES OF HOLDING ANY PARTICULAR HAND OR BETTER
IN FIRST FIVE CARDS DEALT

 

Approximately Once in

Any pair or better

 2 deals

Pair of jacks or better

 5 deals

Pair of queens or better

 6 deals

Pair of kings or better

 7 deals

Pair of aces or better

9 deals

Two pairs or better

     13 deals

Three of a kind or better

35 deals

Straight or better

  132 deals

Flush or better

273 deals

Full house or better

 590 deals

Four of a kind or better

 3,914 deals

Straight flush or better

64 ,9deals

Royal flush

649,740 deals

CHANCE OF BENING WITH THE FIRST FIVE CARDS DEALT, PERCENT

 

Number of Opponents

Players  hand

1

2

3

4

5

6

7

8

Three of a kind

98

94

92

89

87

84

82

80

Two pair

93

86

80

74

68

63

59

53

Pairs

 

 

 

 

 

 

 

 

Aces

89

79

70

62

55

49

43

39

Kings

88

78

69

61

54

48

42

36

Queens

83

68

56

46

38

32

26

20

Jacks

79

63

55

40

32

25

20

15

Tens

76

58

44

 

 

 

 

 

Nine

73

53

38

 

 

 

 

 

Eights

70

49

 

 

 

 

 

 

Sevens

66

43

 

 

 

 

 

 

Sixes

63

40

 

 

 

 

 

 

Fives

60

36

 

 

 

 

 

 

Fours

57

32

 

 

 

 

 

 

Threes

53

28

 

 

 

 

 

 

twos

51

25

 

 

 

 

 

 

The above table presents the chance of a specific hand being high at Five-Card Draw Poker against one to eight opponents.  This is expressed in percent thus 98 means 98 percent, or this will happen 98 times out of 100. 

            The lowest - ranking regular five-card Poker hand when an ace is both high and low is comprised of six, four, three, two, ace in mixed suits.  The above table is particularly helpful to players who play high-low-poker variants of Poker.  In the short run each additional active player in the game increase the odds against you on any particular hand.  But in the long run, since all players have to put an equal sum into the pot, thus increasing the size of the pot in direct  ratio to the increased odds, it doesn’t make much difference, as far as odds are concerned, if you are bucking one or seven players.  To simplify matters, the figures in the following tables have been rounded out when necessary to the nearest 1/10 or whole number.

ODDS AGAINST IMPROVING THE HAND IN DRAW POKER
WHEN DRAWING THREE CARDS TO ONE PAIR


Odds against any improvement

2 ½ to 1

Odds against  making two pairs

5 to 1

Odds against making three of a kind

8 to 1

Odds against making a full house

97 to 1

Odds against making four of a kind

359 to 1

ODDS AGAINST IMPROVING THE HAND IN DRAW POKER
WHEN DRAWING TWO CARDS TO A PAIR AND A KICKER

Odds against any improvement

8 ½ to 1

Odds against making a full house

15 ½ to

Odds against making four of a kind

22 ½ to 1

CHANCES OF IMPROVING THE HAND IN DRAW POKER
WHEN DRAWING ONE CARD TO THREE OF A KIND PLUS A KICKER

Odds against any improvement

11 to 1

Odds against making a full house 

15 to 1

Odds against making four of a kind

46 to 1

The two tables above show that the best chance for improvement with three of a kind is to draw two cards and not hold a kicker.  Holding a kicker increases the odds against the player for any improvement.

ODDS AGAINST FILLING IN A FOUR-CARD STRAIGHT
IN DRAW POKER WHEN DRAWING ONE CARD

Odds against filling a straight open at one end

11 to 1

Odds against filling a straight open in the middle

11 to 1

Odds against filling a straight open at  both ends

5 to 1

ODDS  AGAISNT MAKING A STRAIGHT FLUSH
 IN DRAW POKER WHEN DRAWING ONE CARD

The odds against making a flush by drawing one card or the same suit are about 4 ½ to 1.  If you insist on drawing to a three-card flush, the odds against your catching two cards of the same suit are approximately 23 to 1.

ODDS AGAINST MAKING A STRAIGHT FLUSH
IN DRAW POKER WHEN DRAWING ONE CARD

Odds against making a straight flush open at one end

46 to 1

Odds against making a straight flush open in the middle

46 to 1

Odds against making a straight flush open on both ends

22to 1

CHANCES OF HOLDING VARIOUS POKER HANDS IN THE FIRST FIVE CARDS DEALT WHEN THE FOUR CARDS DEALT WHEN THE FOUR DEUCES ARE WILD


Rank of hand

Number of each

Chance

Five of a kind

672

1 in 3868

Royal flush

484

1 in 5370

Straight flush

4,072

1 in 638

Four of a kind

30,816

1 in 84

Full house

12,672

1 in 205

Flush

13,204

1 in 197

Straight

66,236

1 in 39

Three of a kind

355,056

1 in 7

1 in Two pairs

65,040

1 in 27

One pair

1,222,048

1 in 2  1/10

No-pair hand

798,660

1 in 3  1/4

Total

2,598,960

 

CHANCES OF HOLDING VARIOUS POKER HANDS IN THE FIRST FIVE CARDS DEALT WHEN THE JOKER IS WILD (53 CARD PACK)


Rank of hand

Number of each

Chance

Five of a kind

13

1 in 220,745

Royal flush

24

1 in 119,570

Straight flush

216

1 in 13,286

Four of a kind

3,120

1 in 920

Full house

6,552

1 in 438

Flush

7,768

1 in 369

Straight

20,532

1 in 140

Three of a kind

137,280

1 in 21

Two pairs

123,552

1 in 23

One pair

1,268,088

1 in ½ 

No-pair hand

1,302,540

1 in 2

Total

2,869,685

 

A very unusual mathematical situation arises in Deuces Wild and also in a 53-card deck with the joker wild regarding the relative value of three of a kind and two pairs.  In Deuces Wild, as detailed in the table, the chances of drawing three of a kind are one in 7 deals and the chances of drawing two pairs are one in 27 deals.  In Joker Wild, you see that the chances of drawing three of a kind are one in 21 deals and the chances of drawing two pairs are one in 23 deals.  This peculiar situation is caused by the fact that in one-pair hands the player holding a wild card will naturally call three of a kind instead of the lower-ranking two-pair hand.

Five-Card Stud Poker Probabilities

The chances against holding a given hand in Five-Card Stud are the same as in Five-Card Draw.  However, it must be noted that players will drop out before receiving their fifth card if they have potentially weak hands.  Therefore, the player  who stays until the showdown in Five-Card Stud has a higher average winning potential than those who remain  until the showdown in Five-Card Draw.
            The following table gives the chances that a certain card (ace, king, queen, jack) is the high–hole (down) card depending on the number of players.  This table is expressed in percent

CHANCE OF BENING WITH THE FIRST FIVE CARDS DEALT, PERCENT

 

Number of Opponents

Players  Hole card

1

2

3

4

5

6

7

8

Ace

95

89

83

79

74

70

66

63

King 

86

74

63

55

47

40

35

30

Queen

78

61

48

37

29

23

18

14

Jack

69

49

34

24

16

12

08

05

            The following table gives the chances of pairing your hole card at Five-Card Stud when each player has gotten two cards (one down one up)

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AMERICAN WHIST =================

AMERICAN WHIST
BID WHIST
VINT
BOSTON
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Pinochle Many Variations
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Pinochle Many Variations
Two-Handed Pinochle
Two-Handed Doubling Redoubling
Auction pinochle
Strategy at Auction
CAD found
Partnership Auction
Auction pinochle without wido Individual play
Partnership Aeroplane Pinochle
Radio Partnership Pinochle

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Other Members of the Bezique Family

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The Bezique Family
Rubicon bezique
Two-handed sixty-six
Two-handed piquet
Imperial
Jass
Boo-Ray or BOURÉ

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The Big Euchre Family
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The big euchre family
Strategy of euchre
Auction euchre
Table of scoring points
Napoleon
Spoil five
Double hasenpfeffer
Ecarte
Three-card loo
Schafkopf

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The Heart Group
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Heart Group
Spot Hearts
Black Widow Hearts

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The All-Fours Group
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All-Fours Group
Shasta Sam
Auction Pitch Joker
Razzle-Dazzle

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Banking Card Games
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Banking Card Games
Black Jack, Casino Style
Black Jack Strategy
Pontoon
CHEMIN DE FER
CHEMIN DE PER must play
Baccarat Banque
Faro or farobank
ZIGINETTE
CHINESE FAN-TAN
Banker and broker
Red Dogs


Card craps
Lottery
TRENTE ET QUARANTE

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The Stops Games
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Stops Game
SNIP-SNAP-;SNOREM
ENFLE
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Skarney® and How It Is Played
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Skarney® and How It Is Played
Alternate Skarney
Skarney Singles
SKARNEY GIN ®
Skarney Gin Doubles

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Cheating at Card Games
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Cheating at Card Games
Professional Card Cheats
Nullifying the Cut
The Peek
How to Shuffle Cards

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Dice and their Many Games
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Dice and their Many Games
The Casino Game: Bank Craps
THE CASINO’S LPERCENTAGE OF BANK CRAPS BETS
SCARNE’S RULES FOR OTHER DICE GAMES
English Hazard
Hooligan
General
Double Cameroon
Partnership Straight scarney Dice
Scarney Duplicate Jackpots
Scarney Chemin de Fer

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Games Requiring Special Equipment
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Backgammon
Parcheesi
Hasami Shogi
Scarney
Follow The Arrow
Roulette

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Lottery and Guessing Games
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Lottery guessing game
Tossing Game
Race Horse Keno
Moko
The Match Game

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Glossary of Game Terms
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glossary
glossary1
glossary2
glossary3

 

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