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Big Split Poker

Introduction

Big Split Poker is a video game modeled after poker, where players receive 8 cards and must create both 5-card and 3-card hands, earning payouts based on the poker value of one or both hands. It requires minimal skill, catering to those who seek a challenge beyond slots but find traditional video poker too complex.

Rules

  1. The player chooses to wager either (1) solely on the 5-card payout structure or (2) on both the 5-card and 3-card payout structures.
  2. Players can wager anywhere from one to five coins for each pay table.
  3. After placing their bets, players hit the deal button to receive 8 randomly selected cards from a single deck.
  4. If no winning combination can be made, the game concludes instantly.
  5. When a winning combination is achievable, players arrange their 8 cards into both a 5-card hand and a 3-card hand.
  6. Once the player is happy with their chosen hands, they press the submit buttons to finalize their selections.
  7. Both the 5-card and 3-card hands are evaluated for scoring purposes.
  8. If the player opted to bet on just the 5-card pay table, they will only receive payouts based on that particular hand.
  9. If both pay tables were chosen for betting, the payout is determined by the combined results of the 5-card and 3-card pay tables.

Below are the six pay tables for Big Split Poker, which do not include wild cards. These pay tables are calculated per coin and depend on the maximum number of coins wagered. Notably, a royal flush pays out only 50 for each coin if fewer than the maximum is wagered. All payouts are on a 'for one' basis, meaning the original stake is not returned. You can find the pay tables for joker poker, double joker poker, and deuces in Bob Dancer's article, The New Game in Town. A Friendly Look at Big Split Poker, which serves as the source for these pay tables.

Big Split Poker - Five Card Pay Tables

Hand Table 1 Table 2 Table 3 Table 4 Table 5 Table 6
Royal flush 200 200 200 200 200 200
Straight Flush 20 16 10 20 18 14
Four of a kind 10 8 7 16 14 9
Full House 5 5 5 4 4 4
Flush 2 2 2 2 2 2
Straight 2 2 2 2 2 2
Three of a kind 2 2 2 2 2 2
Two pair (jacks and twos or better) 1 1 1 1 1 1

Important: If you are placing bets on only one pay table, a royal flush will provide a payout of 50 for each coin staked.

Big Split Poker - Pay Tables for Three Card Hands

Hand Table 1 Table 2 Table 3 Table 4 Table 5 Table 6
Three of a kind 16 16 16 14 14 14
Straight flush 15 15 14 12 12 12
Flush 4 4 4 4 4 4
Straight 4 4 4 4 4 4
Pair 2 2 2 2 2 2
Nothing 1 1 1 1 1 1

Strategy

The game lacks a complex strategy. Simply arrange your cards to achieve the highest potential payout. You can explore various arrangements, and the score for each will be promptly displayed. If you create a non-paying hand for the 5-card hand, the game will notify you that a winning hand can be constructed. The return is greater when playing on both pay tables.

Return

My program requires approximately six hours to process a pay table, so I only completed analysis on two. Below are the return rates for playing both one and two pay tables based on the 'full pay' table 1 mentioned earlier. For the returns with two pay tables, the return column is calculated based on the probability, the payout, and a coefficient of 0.5. Dividing by 2 aligns the return with the total of two coins bet. Note that the return for playing both pay tables under pay table 1 is an impressive 99.95%.

Big Split Poker - Return Rates for Pay Table 1 - One Pay Table

Hand Combinations Probability Pays Return
Royal flush 3632160 0.00008619 50 0.00430942
Straight Flush 30602880 0.00072618 20 0.01452365
Four of a Kind 141638672 0.00336098 10 0.03360975
Full House 2556519168 0.0606642 5 0.30332102
Flush 2847617920 0.06757175 2 0.1351435
Straight 3756066720 0.08912853 2 0.17825706
Three of a kind 2155608000 0.0511509 2 0.10230179
Two pair (jacks and twos or better) 8256112704 0.19591111 1 0.19591111
Nonpaying hand 22394338176 0.53140016 0 0
Total 42142136400 1   0.9673773

Big Split Poker - Return Rates for Pay Table 1 - Two Pay Tables

Total return Combinations Probability Return
3200 8288 0.0000002 0.00031467
3000 9408 0.00000022 0.00033487
800 319648 0.00000758 0.003034
400 610176 0.00001448 0.0028958
320 73920 0.00000175 0.00028065
300 81536 0.00000193 0.00029022
200 2684640 0.0000637 0.00637044
160 1541904 0.00003659 0.00292705
150 1178464 0.00002796 0.0020973
80 7402528 0.00017566 0.00702625
75 7208544 0.00017105 0.00641449
40 41190016 0.00097741 0.01954814
32 87833312 0.00208422 0.03334745
30 123453120 0.00292945 0.04394169
20 271201056 0.00643539 0.06435389
16 147974400 0.00351132 0.02809054
15 113088192 0.00268349 0.02012621
10 184812096 0.00438545 0.02192723
8 3029319776 0.07188339 0.28753357
5 1222040736 0.02899807 0.07249518
4 3719582496 0.08826279 0.17652558
2 6041842464 0.14336821 0.14336821
1 4744341504 0.11257952 0.05628976
0 22394338176 0.53140016 0
Total 42142136400 1 0.9995332

Next, you'll find the return rates for pay table 3, which I encountered at the MGM Grand on July 15, 2004.

Big Split Poker - Return Rates for Pay Table 3 - One Pay Table

Hand Combinations Probability Pays Return
Royal flush 3632160 0.00008619 50 0.00430942
Straight Flush 30602880 0.00072618 10 0.00726182
Four of a Kind 141638672 0.00336098 7 0.02352683
Full House 2556519168 0.0606642 5 0.30332102
Flush 2847617920 0.06757175 2 0.1351435
Straight 3756066720 0.08912853 2 0.17825706
Three of a kind 2155608000 0.0511509 2 0.10230179
Two pair (jacks and two or better) 8256112704 0.19591111 1 0.19591111
Nonpaying hand 22394338176 0.53140016 0 0
Total 42142136400 1   0.95003255

Big Split Poker - Return Rates for Pay Table 3 - Two Pay Tables

Total return Combinations Probability Return
3200 8288 0.0000002 0.00031467
2800 9408 0.00000022 0.00031254
800 319648 0.00000758 0.003034
400 610176 0.00001448 0.0028958
200 2684640 0.0000637 0.00637044
160 73920 0.00000175 0.00014033
140 81536 0.00000193 0.00013543
112 1541904 0.00003659 0.00204894
98 1178464 0.00002796 0.00137024
80 4612608 0.00010945 0.00437814
70 7208544 0.00017105 0.00598686
40 2789920 0.0000662 0.00132405
32 89844384 0.00213194 0.03411099
28 158383680 0.00375832 0.0526165
20 221160576 0.00524797 0.05247968
16 148883952 0.0035329 0.0282632
14 144883536 0.00343797 0.02406581
10 146961024 0.00348727 0.01743635
8 3083062976 0.07315868 0.29263471
7 5691840 0.00013506 0.00047272
5 1222040736 0.02899807 0.07249518
4 3719582496 0.08826279 0.17652558
2 6041842464 0.14336821 0.14336821
1 4744341504 0.11257952 0.05628976
0 22394338176 0.53140016 0
Total 42142136400 1 0.97907013

Other Information

bigsplitpoker.com : Offers a no-cost play option and a directory of casinos where the game is available.

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