These are the blackjack card values used in almost all blackjack game variations: Number cards (2, 3, 4, 5, 6, 7, 8, 9, 10 are played at face value.
Lucky Ladies is one of the most popular blackjack side bets ever. It started in Washington state and now can be found in casinos all over the place. The idea is that any player 20-point hand wins something. Certain twenties, especially those involving two queens pay more. I've seen various versions through the years, which I label as A, B, C, D, and E. There is also a progressive version called Bonus Lucky Ladies.
A word about terminology. A 'matched pair' means the same card in both rank and suit.
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 |
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 |
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 |
Hand | Pays |
---|---|
Queen of hearts pair | 100 |
Matched 20 | 25 |
Suited 20 | 10 |
Any 20 | 3 |
Queen of hearts | 2 |
Any other queen | 1 |
The next table is an analysis of pay table A with six decks. The lower right cell shows a return of 75.29%, or a house edge of 24.71%.
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 |
The next table is an analysis of pay table B with six decks. The lower right cell shows a house edge of 17.64%.
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 |
The next table is an analysis of pay table C with one deck, which is what pay table C was designed for. The lower right cell shows a house edge of 29.89% (ouch!).
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 |
The next table is an analysis of pay table D with six decks. The lower right cell shows a house edge of 13.34%.
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 |
Following is my analysis of pay table E, based on six 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 |
The next table summarizes the house edge for versions A through D for one to eight decks.
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 is a $1 progressive side bet. I first noticed it on June 5, 2015 at the Palace Casino in La Center, Washington. Following is the pay table table. All wins are on a 'for one' basis, meaning the player does not get his original wager returned on a win.
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 next table shows the probability and return of each event, based on six decks. A question mark means a variable win, depending on the jackpot size.
Player | Dealer | Pays | Combinations | Probability | Return |
---|---|---|---|---|---|
Queen of hearts pair | Dealer BJ in hearts | ? | 1,980 | 0.0000009 | ? |
Queen of hearts pair | Dealer suited BJ (not hearts) | ? | 6,480 | 0.0000028 | ? |
Queen of hearts pair | Dealer BJ (not suited) | ? | 25,380 | 0.0000109 | ? |
Queen of hearts pair | Anything else | $125 | 684,585 | 0.0002946 | 0.0368267 |
Matched 20 | Anything | $19 | 10,776,375 | 0.0046376 | 0.0881153 |
Suited 20 | Anything | $9 | 48,278,160 | 0.0207767 | 0.1869899 |
Loser | $0 | 2,263,900,860 | 0.9742765 | 0.0000000 | |
Total | 2,263,900,860 | 1.0000000 | 0.3119318 |