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Raise it Up Stud

Introduction

Raise it Up Stud is a poker-based game by Shufflemaster. I first heard about it in September, 2012, when it appeared at the Pala casino near San Diego.

The game is a cross between Let it Ride and Ultimate Texas Hold Em. As in Let it Ride, the player is paid based only on his own cards. The dealer does not get a hand. As in Ultimate Texas Hold 'Em, the player has a chance to raise, and the earlier he raises, the more he can wager. Following are the complete rules.

Rules

  1. Play starts with the player making equal Ante and Blind wagers. The player may also make an optional Pairplus side bet.
  2. The dealer gives the player three cards.
  3. Dealer places three community cards face down.
  4. Player may make a raise bet equal to three times his Ante or check.
  5. First community card is turned over.
  6. If the player did not raise already, then the player may make a Raise bet equal to two times his Ante or check. If the player already raised, then the player may not raise again.
  7. Second community card is turned over.
  8. If the player did not raise already, then the player may make a Raise bet equal to his Ante or fold. If the player already raised, then the player may not raise again.
  9. Third community card is turned over.
  10. Dealer will determine the five-card poker value of each player hand left, between the player's three cards and the three community cards.
  11. The Ante, Blind, and Raise wagers will be paid according the pay tables below.
  12. The Pairplus bet will be paid according to the player's initial three cards and the Pairplus pay table below.
 

 

Raise it Up Pay Tables

Hand Ante Blind Raise
Royal flush 1 1000 100
Straight Flush 1 200 20
Four of a Kind 1 30 10
Full House 1 4 6
Flush 1 3 5
Straight 1 2 4
Three of a Kind 1 1 3
Two Pair 1 0 1.5
Pairs of Tens or Greater 1 0 1
All other Loss Loss Loss

 

 

Pairplus Pay Table

Hand Pays
Straight Flush 40
Three of a Kind 30
Straight 6
Flush 3
Pair 1
All Other Loss

 

Strategy

The following basic strategy was created by Stephen How of Discount Gambling. According to his simulation, it results in a house edge of 3.70%, which is 0.20% higher than optimal strategy. In this strategy, a "high card" is 10 or higher.

Make 3X Raise with:

  • Any pair.
  • Three high cards.
  • Two high cards with one gap or less.
  • Three suited cards with two gaps or less.
  • Three suited cards, two of them high.

Make 2X Raise with:

  • Any pair.
  • Any straight or flush draw.
  • Three suited cards and three high cards (they do not need to be the same three cards).

Make 1X Raise with:

  • Any flush draw.
  • Any pair.
  • Outside and double-inside straight draw.
  • Inside straight draw with at least one high card.
 

Analysis

The following table shows the number of combinations of all possible player decisions and final hands. The lower right cell reflects a house edge of 3.50%. This is the ratio of the expected loss to the Ante wager.

 

Raise it Up Analysis

Hand Raise Bet Combinations Total Win Probability Return
Royal flush 3 17,088 1301 0.000007 0.009100
Straight Flush 3 122,472 261 0.000050 0.013084
Four of a Kind 3 1,459,728 61 0.000598 0.036448
Full House 3 14,518,944 23 0.005943 0.136690
Flush 3 11,236,440 19 0.004599 0.087389
Straight 3 9,840,960 15 0.004028 0.060423
Three of a Kind 3 47,865,600 11 0.019593 0.215521
Two Pair 3 139,264,272 5.5 0.057005 0.313527
Pairs of Jacks or Greater 3 136,809,288 4 0.056000 0.224000
All other 3 239,782,392 -5 0.098150 -0.490749
Royal flush 2 5,472 1201 0.000002 0.002690
Straight Flush 2 33,480 241 0.000014 0.003303
Four of a Kind 2 299,952 51 0.000123 0.006262
Full House 2 5,399,136 17 0.002210 0.037570
Flush 2 4,904,568 14 0.002008 0.028106
Straight 2 13,610,112 11 0.005571 0.061281
Three of a Kind 2 24,897,216 8 0.010191 0.081529
Two Pair 2 96,739,920 4 0.039598 0.158394
Pairs of Jacks or Greater 2 87,301,224 3 0.035735 0.107205
All other 2 189,854,040 -4 0.077713 -0.310851
Royal flush 1 - 1101 0.000000 0.000000
Straight Flush 1 42,768 221 0.000018 0.003869
Four of a Kind 1 - 41 0.000000 0.000000
Full House 1 - 11 0.000000 0.000000
Flush 1 8,554,032 9 0.003501 0.031513
Straight 1 18,623,376 7 0.007623 0.053362
Three of a Kind 1 15,096,384 5 0.006179 0.030897
Two Pair 1 67,933,728 2.5 0.027807 0.069518
Pairs of Jacks or Greater 1 121,638,348 2 0.049790 0.099580
All other 1 324,417,276 -3 0.132793 -0.398380
Fold 0 862,754,184 -2 0.353150 -0.706301
Total   2,443,022,400   1.000000 -0.035022

 

On average, the player will make the large raise 24.60% of the time, medium raise 17.32%, small raise 22.77%, and fold 35.32%. The average final wager is 3.31 units. Thus, the Element of Risk (ratio of initial wager to total wager) is 3.50%/3.31 = 1.06%.

Pairplus

The player may also make a side bet, which pays based on his first three cards. It follows the same pay table as the Pairplus bet in Three Card Poker. The following return table shows the house edge on the Pairplus is 7.28%.

Pairplus Return Table

Hand Pays Combinations Probability Return
Straight Flush 40 48 0.002172 0.086878
Three of a Kind 30 52 0.002353 0.070588
Straight 6 720 0.032579 0.195475
Flush 3 1096 0.049593 0.148778
Pair 1 3744 0.169412 0.169412
All Other -1 16440 0.743891 -0.743891
Total   22100 1 -0.07276

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