Standard deviation in Blackjack!

I'm doing a math exploration on blackjack and am almost done except for one little detail!
I do not know how to calculate the standard deviation in black jack!!!!

For example if I use Liberal Vegas Rules whatever they are and I have a house edge of 0.28%
How could I calculate the house edge?
And what is the formula?
And could you please explain with detail!! :p
Thanks,

Quote: jojocandas15

I'm doing a math exploration on blackjack and am almost done except for one little detail!
I do not know how to calculate the standard deviation in black jack!!!!

For example if I use Liberal Vegas Rules whatever they are and I have a house edge of 0.28%
How could I calculate the house edge?
And what is the formula?
And could you please explain with detail!! :p
Thanks,

I calculate it by running sims.

The main things that affect it are the rules that restrict how much money you can get into play (more money in play means higher standard deviation).

Restricted doubling (say, 10 and 11 only), no replits, no DAS, you will be around 1.1
DOA, resplit to 3 hands, DAS, and you will be around 1.25 (IIRC -- that number is from memory; so I might be wrong)

I think it's closer to 1.16.

https://wizardofodds.com/games/blackjack/appendix/4/

And unfortunately, yeah, you really need to sim it.

Quote: tringlomane

I think it's closer to 1.16.

https://wizardofodds.com/games/blackjack/appendix/4/

And unfortunately, yeah, you really need to sim it.

Yeah, I must be remembering wrong.

Not allowing surrender will add about 0.04 to that number.

Quote: AxiomOfChoice

Yeah, I must be remembering wrong.

Not allowing surrender will add about 0.04 to that number.

(Oh, sorry, I messed that up -- I confused variance and standard deviation. More like 0.02, I think)