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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
 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.
 The five poker hands are shown in a five rows, with the draw poker hand at the bottom.
 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.
 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 52card deck.
 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
 If a stud poker hand pays anything, every multiplier below that hand will be incremented by one.
 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 75 Bonus Poker. Wins are per coin bet (not counting the extra coin required to pay for the multipliers) based on a maximumcoin bet.
75 Bonus Poker Pay Table
Event  Stud Hand Pays  Draw Hand Pays 

Royal flush  5000  800 
Straight flush  1000  50 
4 aces  400  80 
4 24  250  40 
4 5K  200  25 
Full house  34  7 
Flush  22  5 
Straight  15  4 
3 of a kind  9  3 
Two pair  3  2 
Pair: JA  1  1 
Pair: 210  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.
75 Bonus Poker
The following table shows the probability and contribution to the return for each stud hand in 75 Bonus Poker.
75 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 24  250  144  0.000055  0.013852 
4 5K  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%.
75 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 
95 Double Double Bonus
The following table shows the probability and contribution to the return for each stud hand in 95 Double Double Bonus.
95 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 + 24  2000  12  0.000005  0.009234 
4 24 + A4  800  36  0.000014  0.011081 
4 aces + 5K  800  36  0.000014  0.011081 
4 24 + 5K  500  108  0.000042  0.020778 
4 5K  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%.
95 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 
201210 Deuces Wild
The following table shows the probability and contribution to the return for each stud hand in 201210 Deuces Wild.
201210 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%.
201210 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 
13433 Bonus Deuces Wild
The following table shows the probability and contribution to the return for each stud hand in 201210 Deuces Wild.
13433 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 35  100  156  0.000060  0.006002 
Five 6K  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%.
13433 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 
75 Super Aces
The following table shows the probability and contribution to the return for each stud hand in 75 Super Aces.
75 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 JK  600  144  0.000055  0.033244 
4 of a Kind 24  500  144  0.000055  0.027703 
4 of a Kind 510  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%.
75 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 
96 Triple Double Bonus
The following table shows the probability and contribution to the return for each stud hand in 96 Triple Double Bonus.
96 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 + 24  5000  12  0.000005  0.023086 
4 24 + A4  1000  36  0.000014  0.013852 
4 aces + 5K  800  36  0.000014  0.011081 
4 24 + 5K  500  108  0.000042  0.020778 
4 5K  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%.
96 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 
965 Double Bonus
The following table shows the probability and contribution to the return for each stud hand in 96 Triple Double Bonus.
965 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 24  500  144  0.000055  0.027703 
4 5K  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%.
965 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 
86 Bonus Poker Deluxe
The following table shows the probability and contribution to the return for each stud hand in 86 Bonus Poker Deluxe.
965 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%.
86 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