Blackjack House Edge Question - $6 Minimum, 6/5 with Lucky Ladies

[aggie182]

For the typical $6 minimum, 6/5, Lucky Ladies Variant, BJ game on a Carnival Ship - what has the higher house edge?

 

$6 bet on the hand (making it a 7/6 BJ game??)?

or

$5 bet on the hand and $1 bet on the Lucky Ladies bonus?

 

Looking at a photo I have from a cruise last year, Lucky Ladies pays out as follows:

1000 to 1:  Queen of hearts pair, plus dealer BJ

125 to 1:  Queen of hears pair

19 to 1:  Matched 20

9 to 1:  Suited 20

4 to 1:  Any 20

 

Based on a google search:

Lucky Ladies has a house edge of 24.71% (assuming 6 decks, it's 24.05% with 8 decks) with the pay table above.

6/5 BJ (again, assuming 6 decks) has a house edge of around 2%.

 

What I am unsure of:

How to calculate the house edge on a game where your typical bet is $6 and you receive $7 on a BJ, a 7/6 BJ game.

and

How to combine the house edges on the $5 bet plus the $1 bonus bet.

 

I understand the amount of EV I am giving up playing the 6/5 game, but I am curious if anyone can help calculate or answer the questions above.

 

 

 

 

[smarterman64]

too rich for my blood....

the best way to figure out the house edge would be to model the game with these specific rules and run it over hundreds of thousands of hands. barring that.... let's see if we can come up with some numbers...

Let's split the best up.

$6 bet on blackjack

$5 bet is at 6:5 payout, $1 of that is 1:1 payout. 

I would normally use wizard of odds, but their calculator doesn't have a 1:1 payout for blackjack (or 7:6 for that matter)

1.910% is the house edge on $5, = $0.0955 is what you lose on each hand (theoretically)

2.816% is the house edge on $1. = $0.0281

so for $6... 2.06% is house edge for effectively a 7:6 game. 

Note this is continous shuffler rules which is what you'll find on carnival $5/$6 tables.

 

for lucky ladies.... 

1.910% is the house edge on $5, = $0.0955

24.71% on lucky ladies house edge on $1 = $0.2471 

So 5.71% house edge for $5 on blackjack + lucky ladies. 

 

Disclaimer: I am not a mathematician. 

 

[aggie182]

Thanks for the info.