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CASINO REPORTS


Casino Hold'em Poker™

Casion Edge

CASINO EDGE: 3.295%
Pair
of king's or better to qualify

AnteWin® Pay Table

Hand

Pays

5 of a kind

3 to 1

4 of A Kind

2 to 1

Full House

2 to 1

 

POKER DICE :- probabilities to make any given hand with the last 3 dice yet to play

Showing

Probability

No Pair

1P<K's

1P>=K's

Two Pair

Three

Straight

Full

Four

Five

Opens

Doesn't

99

0.0278

0.0000

0.2778

0.0000

0.2778

0.2778

0.0000

0.0926

0.0694

0.0046

0.7222

0.2778

9T

0.0556

0.0833

0.4167

0.0833

0.2222

0.1296

0.0278

0.0278

0.0093

0.0000

0.5000

0.5000

9J

0.0556

0.0833

0.4167

0.0833

0.2222

0.1296

0.0278

0.0278

0.0093

0.0000

0.5000

0.5000

9Q

0.0556

0.0833

0.4167

0.0833

0.2222

0.1296

0.0278

0.0278

0.0093

0.0000

0.5000

0.5000

9K

0.0556

0.0833

0.2917

0.2083

0.2222

0.1296

0.0278

0.0278

0.0093

0.0000

0.6250

0.3750

9A

0.0556

0.1111

0.2917

0.2083

0.2222

0.1296

0.0000

0.0278

0.0093

0.0000

0.5972

0.4028

TT

0.0278

0.0000

0.2778

0.0000

0.2778

0.2778

0.0000

0.0926

0.0694

0.0046

0.7222

0.2778

TJ

0.0556

0.0556

0.4167

0.0833

0.2222

0.1296

0.0556

0.0278

0.0093

0.0000

0.5278

0.4722

TQ

0.0556

0.0556

0.4167

0.0833

0.2222

0.1296

0.0556

0.0278

0.0093

0.0000

0.5278

0.4722

TK

0.0556

0.0556

0.2917

0.2083

0.2222

0.1296

0.0556

0.0278

0.0093

0.0000

0.6528

0.3472

TA

0.0556

0.0833

0.2917

0.2083

0.2222

0.1296

0.0278

0.0278

0.0093

0.0000

0.6250

0.3750

JJ

0.0278

0.0000

0.2778

0.0000

0.2778

0.2778

0.0000

0.0926

0.0694

0.0046

0.7222

0.2778

JQ

0.0556

0.0556

0.4167

0.0833

0.2222

0.1296

0.0556

0.0278

0.0093

0.0000

0.5278

0.4722

JK

0.0556

0.0556

0.2917

0.2083

0.2222

0.1296

0.0556

0.0278

0.0093

0.0000

0.6528

0.3472

JA

0.0556

0.0833

0.2917

0.2083

0.2222

0.1296

0.0278

0.0278

0.0093

0.0000

0.6250

0.3750

QQ

0.0278

0.0000

0.2778

0.0000

0.2778

0.2778

0.0000

0.0926

0.0694

0.0046

0.7222

0.2778

QK

0.0556

0.0556

0.2917

0.2083

0.2222

0.1296

0.0556

0.0278

0.0093

0.0000

0.6528

0.3472

QA

0.0556

0.0833

0.2917

0.2083

0.2222

0.1296

0.0278

0.0278

0.0093

0.0000

0.6250

0.3750

KK

0.0278

0.0000

0.0000

0.2778

0.2778

0.2778

0.0000

0.0926

0.0694

0.0046

1.0000

0.0000

KA

0.0556

0.0833

0.1667

0.3333

0.2222

0.1296

0.0278

0.0278

0.0093

0.0000

0.7500

0.2500

AA

0.0278

0.0000

0.0000

0.2778

0.2778

0.2778

0.0000

0.0926

0.0694

0.0046

1.0000

0.0000

 

With 5 dice to play

0.0617

0.3086

0.1543

0.2315

0.1543

0.0309

0.0386

0.0193

0.0008

0.6296

0.3704

 

POKER DICE - optimal player strategies (*with more detail supplied in the Addendum)

Showing   No Pair 1P<K's 1P>=K's Two Pair Three Straight Full Four Five
                   
99   Pass Pass Pass * (13) Raise Raise Raise Raise Raise
9T   Either Either Raise Raise Raise Raise Raise Raise Raise
9J   Either Either Raise Raise Raise Raise Raise Raise Raise
9Q   Either Either * (0) Raise Raise Raise Raise Raise Raise
9K   Pass Pass * (1) Raise Raise Raise Raise Raise Raise
9A   Pass Pass * (2) Raise Raise Raise Raise Raise Raise
TT   Pass Pass Pass * (14) Raise Raise Raise Raise Raise
TJ   Pass Pass * (3) Raise Raise Raise Raise Raise Raise
TQ   Pass Pass * (4) Raise Raise Raise Raise Raise Raise
TK   Pass Pass * (5) Raise Raise Raise Raise Raise Raise
TA   Pass Pass * (6) Raise Raise Raise Raise Raise Raise
JJ   Pass Pass Pass * (15) Raise Raise Raise Raise Raise
JQ   Pass Pass * (7) Raise Raise Raise Raise Raise Raise
JK   Pass Pass * (8) Raise Raise Raise Raise Raise Raise
JA   Pass Pass * (9) Raise Raise Raise Raise Raise Raise
QQ   Pass Pass Pass * (16) Raise Raise Raise Raise Raise
QK   Pass Pass * (10) Raise Raise Raise Raise Raise Raise
QA   Pass Pass * (11) Raise Raise Raise Raise Raise Raise
KK   Pass Pass Pass * (17) Raise Raise Raise Raise Raise
KA   Pass Pass * (12) Raise Raise Raise Raise Raise Raise
AA   Pass Pass Pass * (18) Raise Raise Raise Raise Raise
 
 

POKER DICE - calculation of the house edge, from the total won over all possible hands

 

Showing
 
Total Win
 
With Combinations
99 -2357.92 -2357.92
9T 368.94 x 2  =  737.89
9J 167.83 x 2  =  335.67
9Q -124.39 x 2  = -248.78 This is the total number of antes a player  would win
(-lose) if he played every possible hand once, perfectly
9K 585.44 x 2  =  1170.89 Total of:

 25853.33

9A 208.17 x 2  =  416.33
TT -2815.58 -2815.58
TJ -483.78 x 2  = -967.56 Divided by:

 279936

This is the total number of possible hands being 6^2 (house) * 6^5 (player);(two dice and five dice to begin the game)
TQ -771.00 x 2  = -1542.00
TK -55.33 x 2  = -110.67  
TA -387.61 x 2  = -775.22
JJ -3273.25 -3273.25 Therefore on average, a player using optimal strategy will lose 9.2354% of the ante each time the game is played
JQ -967.11 x 2  = -1934.22 Equals:  9.2354%
JK -259.78 x 2  = -519.56
JA -593.72 x 2  = -1187.44
QQ -3717.58 -3717.58
QK -510.89 x 2  = -1021.78
QA -838.17 x 2  = -1676.33
KK -2630.67 -2630.67
KA -130.28 x 2  = -260.56
AA -3475.00 -3475.00


US Patent: 6,428,005
Australia Patent: 772240
South Africa Patent: 2001/3425
© 2000-2010 Stephen Au-Yeung, All rights reserved