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Last Updated: June 5, 2017

Lucky Stud Draw Poker

Introduction



Lucky Stud Draw Poker is a video poker variant where the player plays one draw hand and five stud hands. If any stud hand wins, and hands underneath it on the screen earn a multiplier. The draw hand is on the bottom so it has a maximum multiplier of 5x.

The player has no control over the stud hands and they are dealt from separate decks, so the strategy is exactly the same as conventional video poker for the given draw poker game and pay table. I saw the game at the Palace Station in Las Vegas on May 31, 2017. It is located near the Irish pub.

Rules



  1. The player must be in increments of ten coins, which are split between five poker hands. Wins for each hand are based on one coin.
  2. The five poker hands are shown in a five rows, with the draw poker hand at the bottom.
  3. After making a bet, the player will be given five cards to the draw poker hand and asked to hold the ones he wants, discarding the rest, as in conventional video poker.
  4. After pressing the "draw" button, the game will first deal four hands of stud poker above the draw hand. Each stud will be dealt from a separate 52-card deck.
  5. Starting with the top hand, each stud hand will be scored against the stud poker pay table. Each of these hands shall start with a multiplier of 1x
  6. If a stud poker hand pays anything, every multiplier below that hand will be incremented by one.
  7. Finally, the draw poker hand will get its replacement card and scored.


If that wasn't clear, here are links to the three rule screens: screen 1, screen 2, screen 3.

Following is an example of a set of pay tables. These were for 7-5 Bonus Poker. Wins are per coin bet (not counting the extra coin required to pay for the multipliers) based on a maximum-coin bet.

7-5 Bonus Poker Pay Table

Event Stud Hand Pays Draw Hand Pays
Royal flush 5000 800
Straight flush 1000 50
4 aces 400 80
4 2-4 250 40
4 5-K 200 25
Full house 34 7
Flush 22 5
Straight 15 4
3 of a kind 9 3
Two pair 3 2
Pair: J-A 1 1
Pair: 2-10 1 0

Example





In the hand above I bet 50 credits. 25 of them were a fee to pay for the multiplier feature, which left a bet of five for each hand. Here is how they were scored:

  • Level 1: I got a pair in the top hand which pays 1x my bet. The multiplier is always 1x for the top hand so that paid 5×1×1 = 5 credits. Every subsequent multiplier was incremented by one, to a total of two, because I had a paying hand.
  • Level 2: I got a two pair in the second hand which pays 3x my bet. The multiplier was at 2x so I was paid 5×2×3 = 30 credits. Every subsequent multiplier was incremented by one, to a total of three, because I had a paying hand.
  • Level 3: I got a pair in the third hand which pays 1x my bet. The multiplier was at 3x so I was paid 5×3×1 = 15 credits. Every subsequent multiplier was incremented by one, to a total of four, because I had a paying hand.
  • Level 4: I got trash so won nothing. The multiplier on the level 5 hand remained at 4x because I didn't get a paying hand on level 4.
  • Level 5: I ended up with a three of a kind on level 5, which pays 3x my bet. The multiplier was at 4x, thanks to three winning hands above it, so my win was 5×4×3 = 60 credits.
  • My total win was thus 5+30+15+0+60 = 110 credits.


7-5 Bonus Poker



The following table shows the probability and contribution to the return for each stud hand in 7-5 Bonus Poker.

7-5 Bonus Poker Stud Hand Analysis

Event Pays Combinations Probability Return
Royal flush 5000 4 0.000002 0.007695
Straight flush 1000 36 0.000014 0.013852
4 aces 400 48 0.000018 0.007388
4 2-4 250 144 0.000055 0.013852
4 5-K 200 432 0.000166 0.033244
Full house 34 3,744 0.001441 0.048980
Flush 22 5,108 0.001965 0.043239
Straight 15 10,200 0.003925 0.058870
3 of a kind 9 54,912 0.021128 0.190156
Two pair 3 123,552 0.047539 0.142617
Pair 1 1,098,240 0.422569 0.422569
Nothing 0 1,302,540 0.501177 0.000000
Total 2,598,960 1.000000 0.982461


The probability of a winning stud poker hand is 0.498823. You can see from my Bonus Poker page that the return for the draw poker hand is 0.980147. With this information, we can put together the total return of the game. The return column is the product of the base return in the second column, the average multiplier in the third column, and 0.1. The reason for multiplying by 0.1 is that the win is based off 10% of the total amount bet. The lower right cell shows a total return of 98.06%.

7-5 Bonus Poker Analysis

Hand Return Average
Multiplier
Total
Return
1 0.982461 1.000000 0.098246
2 0.982461 1.498823 0.147253
3 0.982461 1.997645 0.196261
4 0.982461 2.496468 0.245268
5 0.980147 2.995290 0.293582
Total 0.980611


9-5 Double Double Bonus



The following table shows the probability and contribution to the return for each stud hand in 9-5 Double Double Bonus.

9-5 Double Double Bonus Stud Hand Analysis

Event Pays Combinations Probability Return
Royal flush 5000 4 0.000002 0.007695
Straight flush 1000 36 0.000014 0.013852
4 aces + 2-4 2000 12 0.000005 0.009234
4 2-4 + A-4 800 36 0.000014 0.011081
4 aces + 5-K 800 36 0.000014 0.011081
4 2-4 + 5-K 500 108 0.000042 0.020778
4 5-K 400 432 0.000166 0.066488
Full house 45 3,744 0.001441 0.064826
Flush 17 5,108 0.001965 0.033412
Straight 14 10,200 0.003925 0.054945
3 of a kind 8 54,912 0.021128 0.169028
Two pair 2 123,552 0.047539 0.095078
Pair 1 1,098,240 0.422569 0.422569
Nothing 0 1,302,540 0.501177 0.000000
Total 2,598,960 1.000000 0.980067


The probability of a winning stud poker hand is 0.498823. You can see from my Double Double Bonus page that the return for the draw poker hand is 0.978729. With this information, we can put together the total return of the game. The return column is the product of the base return in the second column, the average multiplier in the third column, and 0.1. The reason for multiplying by 0.1 is that the win is based off 10% of the total amount bet. The lower right cell shows a total return of 97.85%.

9-5 Double Double Bonus Analysis

Hand Return Average
Multiplier
Total
Return
1 0.980067 1.000000 0.098007
2 0.980067 1.498823 0.146895
3 0.980067 1.997645 0.195783
4 0.980067 2.496468 0.244671
5 0.978729 2.995290 0.293158
Total 0.978513


20-12-10 Deuces Wild



The following table shows the probability and contribution to the return for each stud hand in 20-12-10 Deuces Wild.

20-12-10 Deuces Wild Stud Hand Analysis

Event Pays Combinations Probability Return
Natural royal flush 5000 4 0.000002 0.007695
Four deuces 1000 48 0.000018 0.018469
Wild royal flush 250 480 0.000185 0.046172
Five of a kind 50 624 0.000240 0.012005
Straight flush 38 2,068 0.000796 0.030237
Four of a kind 10 31,552 0.012140 0.121402
Full house 9 12,672 0.004876 0.043882
Flush 8 14,472 0.005568 0.044547
Straight 5 62,232 0.023945 0.119725
Three of a kind 2 355,080 0.136624 0.273248
Two pair 1 95,040 0.036568 0.036568
Jacks or better 1 664,704 0.255758 0.255758
Nothing 1,359,984 0.523280 0.000000
Total 2,598,960 1.000000 1.009708


The probability of a winning stud poker hand is 0.476720. You can see from my Deuces Wild page that the return for the draw poker hand is 0.975791. With this information, we can put together the total return of the game. The return column is the product of the base return in the second column, the average multiplier in the third column, and 0.1. The reason for multiplying by 0.1 is that the win is based off 10% of the total amount bet. The lower right cell shows a total return of 97.85%.

20-12-10 Deuces Wild Analysis

Hand Return Average
Multiplier
Total
Return
1 1.009708 1.000000 0.100971
2 1.009708 1.476720 0.149106
3 1.009708 1.953440 0.197240
4 1.009708 2.430160 0.245375
5 0.975791 2.906880 0.283651
Total 0.976343
0.978513


13-4-3-3 Bonus Deuces Wild



The following table shows the probability and contribution to the return for each stud hand in 20-12-10 Deuces Wild.

13-4-3-3 Bonus Deuces Wild Stud Hand Analysis

Event Pays Combinations Probability Return
Natural royal flush 5000 4 0.000002 0.007695
Four deuces plus ace 2000 4 0.000002 0.003078
Four deuces 1000 44 0.000017 0.016930
Wild royal flush 250 480 0.000185 0.046172
Five aces 250 52 0.000020 0.005002
Five 3-5 100 156 0.000060 0.006002
Five 6-K 50 416 0.000160 0.008003
Straight flush 35 2,068 0.000796 0.027850
Four of a kind 11 31,552 0.012140 0.133543
Full house 8 12,672 0.004876 0.039006
Flush 6 14,472 0.005568 0.033410
Straight 4 62,232 0.023945 0.095780
Three of a kind 2 355,080 0.136624 0.273248
Two pair 1 95,040 0.036568 0.036568
Jacks or better 1 664,704 0.255758 0.255758
Nothing 0 1,359,984 0.523280 0.000000
Total 2,598,960 1.000000 0.988046


The probability of a winning stud poker hand is 0.476720. You can see from my Bonus Deuces Wild page that the return for the draw poker hand is 0.988025. With this information, we can put together the total return of the game. The return column is the product of the base return in the second column, the average multiplier in the third column, and 0.1. The reason for multiplying by 0.1 is that the win is based off 10% of the total amount bet. The lower right cell shows a total return of 96.50%.

13-4-3-3 Bonus Deuces Wild Analysis

Hand Return Average
Multiplier
Total
Return
1 0.988046 1.000000 0.098805
2 0.988046 1.476720 0.145907
3 0.988046 1.953440 0.193009
4 0.988046 2.430160 0.240111
5 0.988025 2.906880 0.287207
Total 0.965038


7-5 Super Aces



The following table shows the probability and contribution to the return for each stud hand in 7-5 Super Aces.

7-5 Super Aces Stud Hand Analysis

Event Pays Combinations Probability Return
Royal Flush 5000 4 0.000002 0.007695
Straight Flush 1000 36 0.000014 0.013852
4 of a kind A 800 48 0.000018 0.014775
4 of a kind J-K 600 144 0.000055 0.033244
4 of a Kind 2-4 500 144 0.000055 0.027703
4 of a Kind 5-10 400 288 0.000111 0.044325
Full House 33 3,744 0.001441 0.047539
Flush 25 5,108 0.001965 0.049135
Straight 14 10,200 0.003925 0.054945
3 of a Kind 8 54,912 0.021128 0.169028
Two Pair 2 123,552 0.047539 0.095078
Pair 1 1,098,240 0.422569 0.422569
Nothing 1,302,540 0.501177 0.000000


The probability of a winning stud poker hand is 0.498823. You can see from my Super Aces page that the return for the draw poker hand is 0.975791. With this information, we can put together the total return of the game. The return column is the product of the base return in the second column, the average multiplier in the third column, and 0.1. The reason for multiplying by 0.1 is that the win is based off 10% of the total amount bet. The lower right cell shows a total return of 97.81%.

7-5 Super Aces Analysis

Hand Return Average
Multiplier
Total
Return
1 0.979889 1.000000 0.097989
2 0.979889 1.498823 0.146868
3 0.979889 1.997645 0.195747
4 0.979889 2.496468 0.244626
5 0.977710 2.995290 0.292853
Total 0.978083


9-6 Triple Double Bonus



The following table shows the probability and contribution to the return for each stud hand in 9-6 Triple Double Bonus.

9-6 Triple Double Bonus Stud Hand Analysis

Event Pays Combinations Probability Return
Royal flush 5000 4 0.000002 0.007695
Straight flush 1000 36 0.000014 0.013852
4 aces + 2-4 5000 12 0.000005 0.023086
4 2-4 + A-4 1000 36 0.000014 0.013852
4 aces + 5-K 800 36 0.000014 0.011081
4 2-4 + 5-K 500 108 0.000042 0.020778
4 5-K 400 432 0.000166 0.066488
Full house 44 3,744 0.001441 0.063385
Flush 19 5,108 0.001965 0.037343
Straight 15 10,200 0.003925 0.058870
3 of a kind 7 54,912 0.021128 0.147899
Two pair 2 123,552 0.047539 0.095078
Pair 1 1,098,240 0.422569 0.422569
Nothing 0 1,302,540 0.501177 0.000000
Total 2,598,960 1.000000 0.981976


The probability of a winning stud poker hand is 0.498823. You can see from my Triple Double Bonus page that the return for the draw poker hand is 0.975791. With this information, we can put together the total return of the game. The return column is the product of the base return in the second column, the average multiplier in the third column, and 0.1. The reason for multiplying by 0.1 is that the win is based off 10% of the total amount bet. The lower right cell shows a total return of 97.81%.

9-6 Triple Double Bonus Analysis

Hand Return Average
Multiplier
Total
Return
1 0.981976 1.000000 0.098198
2 0.981976 1.498823 0.147181
3 0.981976 1.997645 0.196164
4 0.981976 2.496468 0.245147
5 0.981540 2.995290 0.294000
Total 0.980689


9-6-5 Double Bonus



The following table shows the probability and contribution to the return for each stud hand in 9-6 Triple Double Bonus.

9-6-5 Double Bonus Stud Hand Analysis

Event Pays Combinations Probability Return
Royal flush 5000 4 0.000002 0.007695
Straight flush 1000 36 0.000014 0.013852
4 aces 800 48 0.000018 0.014775
4 2-4 500 144 0.000055 0.027703
4 5-K 400 432 0.000166 0.066488
Full house 45 3,744 0.001441 0.064826
Flush 21 5,108 0.001965 0.041273
Straight 14 10,200 0.003925 0.054945
3 of a kind 8 54,912 0.021128 0.169028
Two pair 2 123,552 0.047539 0.095078
Pair 1 1,098,240 0.422569 0.422569
Nothing 0 1,302,540 0.501177 0.000000
Total 2,598,960 1.000000 0.978233


The probability of a winning stud poker hand is 0.498823. You can see from my Double Bonus page that the return for the draw poker hand is 0.980147. With this information, we can put together the total return of the game. The return column is the product of the base return in the second column, the average multiplier in the third column, and 0.1. The reason for multiplying by 0.1 is that the win is based off 10% of the total amount bet. The lower right cell shows a total return of 97.77%.

9-6-5 Double Bonus Analysis

Hand Return Average
Multiplier
Total
Return
1 0.978233 1.000000 0.097823
2 0.978233 1.498823 0.146620
3 0.978233 1.997645 0.195416
4 0.978233 2.496468 0.244213
5 0.980147 2.995290 0.293582
Total 0.977654


8-6 Bonus Poker Deluxe



The following table shows the probability and contribution to the return for each stud hand in 8-6 Bonus Poker Deluxe.

9-6-5 Double Bonus Stud Hand Analysis

Event Pays Combinations Probability Return
Royal flush 5000 4 0.000002 0.007695
Straight flush 1000 36 0.000014 0.013852
4 of a kind 400 624 0.000240 0.096038
Full house 40 3,744 0.001441 0.057623
Flush 23 5,108 0.001965 0.045204
Straight 15 10,200 0.003925 0.058870
3 of a kind 9 54,912 0.021128 0.190156
Two pair 2 123,552 0.047539 0.095078
Pair 1 1,098,240 0.422569 0.422569
Nothing 0 1,302,540 0.501177 0.000000
Total 2,598,960 1.000000 0.987086


The probability of a winning stud poker hand is 0.498823. You can see from my Bonus Poker Deluxe page that the return for the draw poker hand is 0.980147. With this information, we can put together the total return of the game. The return column is the product of the base return in the second column, the average multiplier in the third column, and 0.1. The reason for multiplying by 0.1 is that the win is based off 10% of the total amount bet. The lower right cell shows a total return of 98.38%.

8-6 Bonus Poker Deluxe Analysis

Hand Return Average
Multiplier
Total
Return
1 0.987086 1.000000 0.098709
2 0.987086 1.498823 0.147947
3 0.987086 1.997645 0.197185
4 0.987086 2.496468 0.246423
5 0.980147 2.995290 0.293582
Total 0.983845



Written by: Michael Shackleford

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