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Ante Wager Analysis

The following table shows the probability and contribution to the return for all possible outcomes of the Ante bet.

 

 

Pocket PairsTM Analysis

The following tables shows the probability and contribution to the return for all possible outcomes of the Pocket Pairs bet. All winning hands must include a pocket pair (meaning the player's hole cards are a pair).

The lower right cell shows a house edge of 3.52%. The player will raise 66.5% of the time, for an average final wager of 2.31 units.

The element of risk is thus 3.52%/2.31=1.52%.           Paytable  

As shown in the table below, the expected value of the Pocket Pairs side bet is -0.046734. This corresponds to a house advantage of 4.6734%.

 Paytable

Patent Pending

 

Outcome

Pays

Bonus Pay

Combinations

Probability

Frequency

EV

Win, Four of a Kind

3

40

121,417,920

0.000144

1 in 6941.7

0.006194

Win, Straight Flush

3

20

246,507,000

0.000292

1 in 3419.1

0.006727

Win, Straight

3

2

6,508,706,376

0.007722

1 in 129.5

0.038612

Win, Flush

3

1

10,268,261,924

0.012183

1 in 82.1

0.048732

Win, Other

3

0

294,874,141,548

0.349857

1 in 2.9

1.049570

Tie, Four of a Kind

0

40

0

0.000000

1 in 0.0

0.000000

Tie, Straight Flush

0

20

0

0.000000

1 in 0.0

0.000000

Tie, Straight

0

2

154,109,220

0.000183

1 in 5469.1

0.000366

Tie, Flush

0

1

0

0.000000

1 in 0.0

0.000000

Tie, Other

0

0

4,696,839,840

0.005573

1 in 179.4

0.000000

Lose, Four of a Kind

-3

40

0

0.000000

1 in 0.0

0.000000

Lose, Straight Flush

-3

20

90,720

0.000000

1 in 9290594.4

0.000002

Lose, Straight

-3

2

78,797,664

0.000093

1 in 10696.3

-0.000093

Lose, Flush

-3

1

656,951,056

0.000779

1 in 1283.0

-0.001559

Lose, Other

-3

0

236,265,368,412

0.280320

1 in 3.6

-0.840959

Folds

-1

0

288,971,536,320

0.342853

1 in 2.9

-0.342853

Total

 

 

842,842,728,000

1.000000

 

-0.035263

Hand

Pays

Combinations

Probability

Frequency

EV

Four Aces

300

288

0.000011

1 in 90,242

0.003324

Four Kings

200

288

0.000011

1 in 90,242

0.002216

Four Queens

140

288

0.000011

1 in 90,242

0.001551

Four Jacks

80

288

0.000011

1 in 90,242

0.000887

Four of a Kind, 2's to 10's

40

2,592

0.000100

1 in 10,027

0.003989

Three Aces

30

27,264

0.001049

1 in 953

0.031471

Three Kings

20

27,264

0.001049

1 in 953

0.020981

Three Queens

14

27,264

0.001049

1 in 953

0.014686

Three Jacks

8

27,264

0.001049

1 in 953

0.008392

Three of a Kind, 2's to 10's

4

245,376

0.009441

1 in 106

0.037765

Pair of Aces

15

315,840

0.012153

1 in 82

0.182288

Pair of Kings

10

315,840

0.012153

1 in 82

0.121526

Pair of Queens

7

315,840

0.012153

1 in 82

0.085068

Pair of Jacks

4

315,840

0.012153

1 in 82

0.048610

Pair, 2's through 10's

2

2,842,560

0.109373

1 in 09.1

0.218746

Other

-1

21,525,504

0.828235

1 in 1.2

-0.828235

Total

 

25,989,600

1.000000

 

-0.046734