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Lucky Ladies
Introduction
One of the most sought-after side bets in blackjack is Lucky Ladies. This fun bet originated in Washington state and can now be observed in various casinos. The premise is simple: any player hand totaling 20 wins a payout, with specific combinations of twenties, particularly those with two queens, offering more lucrative rewards. Over the years, several variations, labeled A through E, have emerged, including a progressive version entitled Bonus Lucky Ladies.
Clarifying terms: a 'matched pair' refers to two cards that are identical in both rank and suit.
Lucky Ladies — Pay Tables A and B
Hand | Table A | Table B |
---|---|---|
Q of hearts pair & dealer has BJ | 1000 to 1 | 1000 to 1 |
Q of hearts pair | 125 to 1 | 200 to 1 |
Matched 20 | 19 to 1 | 25 to 1 |
Suited 20 | 9 to 1 | 10 to 1 |
Unsuited 20 | 4 to 1 | 4 to 1 |
Lucky Ladies — Pay Table C
Hand | Table C |
---|---|
Pair of queens with dealer BJ | 250 to 1 |
Pair of queens | 25 to 1 |
Ranked 20 | 9 to 1 |
Suited 20 | 6 to 1 |
Any 20 | 3 to 1 |
Lucky Ladies — Pay Table D
Hand | Pays |
---|---|
Queen of hearts pair | 100 to 1 |
Matched 20 | 30 to 1 |
Suited 20 | 10 to 1 |
Any 20 | 3 to 1 |
One queen | 1 to 1 |
Lucky Ladies — Pay Table E
Hand | Pays |
---|---|
Queen of hearts pair | 100 |
Matched 20 | 25 |
Suited 20 | 10 |
Any 20 | 3 |
Queen of hearts | 2 |
Any other queen | 1 |
Here you will find the pay table associated with the progressive version labeled Pay Table F.
Lucky Ladies — Pay Table F
Hand | Pays |
---|---|
Queen of hearts pair + dealer BJ | Jackpot |
Queen of hearts pair | 25 |
Suited 20 | 10 |
Unsuited 20 | 2 |
Analysis of Pay Table A
Next is an analysis of Pay Table A played with six decks. The analysis reveals a return percentage of 75.29%, signifying a house edge of 24.71%.
Lucky Ladies Pay Table A — 6 decks
Hand | Permutations | Probability | Pays | Return |
---|---|---|---|---|
Q of hearts pair & dealer has BJ | 135360 | 0.000015 | 1000 to 1 | 0.014563 |
Q of hearts pair | 2738340 | 0.000295 | 125 to 1 | 0.036827 |
Matched 20 (same rank and suit) | 43105500 | 0.004638 | 19 to 1 | 0.088115 |
Suited 20 | 193112640 | 0.020777 | 9 to 1 | 0.186990 |
Unsuited 20 | 744863040 | 0.080139 | 4 to 1 | 0.320554 |
Non-20 | 8310740400 | 0.894138 | Loss | -0.894138 |
Total | 9294695280 | 1.000000 | -0.247089 |
Analysis of Pay Table B
Now, we examine Pay Table B using six decks, which results in a house edge of 17.64%.
Lucky Ladies Pay Table B — 6 decks
Hand | Permutations | Probability | Pays | Return |
---|---|---|---|---|
Q of hearts pair & dealer has BJ | 1,000 | 135,360 | 0.000015 | 0.014563 |
Q of hearts pair | 200 | 2,738,340 | 0.000295 | 0.058923 |
Matched 20 (same rank and suit) | 25 | 43,105,500 | 0.004638 | 0.115941 |
Suited 20 | 10 | 193,112,640 | 0.020777 | 0.207767 |
Unsuited 20 | 4 | 744,863,040 | 0.080139 | 0.320554 |
Non-20 | -1 | 8,310,740,400 | 0.894138 | -0.894138 |
Total | 9,294,695,280 | 1.000000 | -0.176391 |
Analysis of Pay Table C
The following table scrutinizes Pay Table C, specifically designed for single-deck play, revealing a house edge of 29.89%.
Lucky Ladies Pay Table C — 1 deck
Hand | Permutations | Probability | Pays | Return |
---|---|---|---|---|
Pair of queens with dealer BJ | 1344 | 0.000207 | 250 to 1 | 0.051713 |
Pair of queens | 28056 | 0.004318 | 25 to 1 | 0.107951 |
Ranked 20 | 88200 | 0.013575 | 9 to 1 | 0.122172 |
Suited 20 | 137200 | 0.021116 | 6 to 1 | 0.126697 |
Any 20 | 411600 | 0.063348 | 3 to 1 | 0.190045 |
Non-20 | 5831000 | 0.897436 | Loss | -0.897436 |
Total | 6497400 | 1 | -0.298858 |
Analysis of Pay Table D
In the analysis of Pay Table D with six decks, the findings suggest a house edge of 13.34%.
Lucky Ladies Pay Table D — 6 decks
Hand | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Queen of hearts pair | 100 | 15 | 0.000309 | 0.030918 |
Matched 20 | 30 | 225 | 0.004638 | 0.139129 |
Suited 20 | 10 | 1,008 | 0.020777 | 0.207767 |
Any 20 | 3 | 3,888 | 0.080139 | 0.240416 |
One queen | 1 | 5,184 | 0.106851 | 0.106851 |
Loser | -1 | 38,196 | 0.787287 | -0.787287 |
Total | 48,516 | 1.000000 | -0.062206 |
Analysis of Pay Table E
Here’s my evaluation of Pay Table E based on the six decks used.
Lucky Ladies Pay Table E — 6 decks
Hand | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Queen of hearts pair | 100 | 15 | 0.000309 | 0.030918 |
Matched 20 | 25 | 225 | 0.004638 | 0.115941 |
Suited 20 | 10 | 1,008 | 0.020777 | 0.207767 |
Any 20 | 3 | 3,888 | 0.080139 | 0.240416 |
Queen of hearts | 2 | 1,296 | 0.026713 | 0.053426 |
Any other queen | 1 | 3,888 | 0.080139 | 0.080139 |
Loser | -1 | 38,196 | 0.787287 | -0.787287 |
Total | 48,516 | 1.000000 | -0.058682 |
House Edge Summary
The subsequent table provides a summary of the house edges from versions A to D across one to eight decks.
Lucky Ladies — Summary
Decks | Pay Table A | Pay Table B | Pay Table C | Pay Table D | Pay Table E |
---|---|---|---|---|---|
1 | 29.89% | ||||
2 | 30.05% | 24.94% | 25.51% | 12.66% | 11.37% |
4 | 26.04% | 19.46% | 23.35% | 7.82% | 7.24% |
5 | 25.24% | 18.37% | 22.92% | 6.86% | 6.42% |
6 | 24.71% | 17.64% | 22.64% | 6.22% | 5.87% |
8 | 24.05% | 16.73% | 22.28% | 5.42% | 5.19% |
Bonus Lucky Ladies
Bonus Lucky Ladies is a $1 progressive side bet that I first came across on June 5, 2015, at the Palace Casino in La Center, Washington. Below is the corresponding pay table. All payouts operate on a 'for one' basis, meaning the player’s initial stake is not returned upon winning.
Bonus Lucky Ladies — Pay Table
Player | Dealer | Pays |
---|---|---|
Queen of hearts pair | Dealer BJ in hearts | 100% of Jackpot |
Queen of hearts pair | Dealer suited BJ (not hearts) | 25% of Jackpot |
Queen of hearts pair | Dealer BJ (not suited) | 5% of Jackpot |
Queen of hearts pair | Anything else | $125 |
Matched 20 | Anything | $19 |
Suited 20 | Anything | $9 |
The following table details the probabilities and returns for each possible event, calculated from six decks. A question mark indicates a variable payout depending on the size of the jackpot.
The table previously discussed indicates that fixed payouts yield a return of 31.19%. For every $10,000 increment in the jackpot, the return increases by 2.13%. To break even, the jackpot would need to hit $328,372.59.
Analysis of Pay Table F
Here’s my assessment of the progressive Pay Table F based on six decks. All winnings are considered on a 'for one' basis.
Pay Table F Analysis ‐ Six Decks
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
Queen of hearts pair + dealer BJ | Jackpot | 33,840 | 0.000015 | ? |
Queen of hearts pair | 25 | 684,585 | 0.000295 | 0.007365 |
Suited 20 | 10 | 59,054,535 | 0.025414 | 0.254143 |
Unsuited 20 | 2 | 186,215,760 | 0.080139 | 0.160277 |
Loser | 0 | 2,077,685,100 | 0.894138 | 0.000000 |
Total | 2,323,673,820 | 1.000000 | 0.421785 + ? |
The next table illustrates a return to the player of 42.18%, excluding the jackpot value. Each increment of $10,000 in the jackpot significantly raises the return by 14.56%.
I encountered this 'red light' $1 wager at the Rampart on January 29, 2021, when the jackpot stood at $17,347.43. Therefore, the effective return at that moment would be calculated as 42.18% plus 14.56% multiplied by the ratio of $17,347 to $10,000, totaling 67.44%.