Question For The Wizard - Blackjack.

At the casino I work in here in the uk, for Blackjack we use the rules Double any Initial Total, Split Any Pair, Resplitting unlimited, Double after split (except aces) Resplit aces, No surrender and dealer is dealt one face up card and stands on soft 17. We also use 4 decks and a continuous shuffling machine with standard procedure being to leave cards in the discard until they amount to roughly one deck before replacing in the shuffler, which equates to between 2-3 hands on a full 7 spot table, or 7-9 with one or 2 spots open.

I was wondering a couple of things.

Firstly, what would the house edge be on this rule set?

And secondly, Recently I had a player, playing one spot and refusing to take any cards whatsoever, regardless his total or my card. What would the house edge be for this.?
And Finally, we have a side bet called 21+3 which i dont know if you are aware of. If the players cards on the initial deal and the dealers card make either a straight (eg player is dealt an 8 and a 9, and the dealers card is a 10) a flush (all 3 cards are hearts, clubs etc) three of a kind or a straight flush the player is paid 9 to 1.

What are the odds for this occuring and what is the house edge on the bet? I had a look at work and couldnt find any literature on the subject.

Thanks in advance for any insight you may be able to give me.

Love the site btw, as a Dealer its extremely interesting and helpful when people ask me for advice. Keep up the excellent work!

While on the subject of stupid play:
Under the same rules, what's the house edge on someone who hits on anything below 21 (never doubling or splitting)?
Noy

Quote: Croupier

And secondly, Recently I had a player, playing one spot and refusing to take any cards whatsoever, regardless his total or my card. What would the house edge be for this.?

The house edge I calculated based on 8 decks where you stand on the soft 17, using the wizard's charts (he does not have a chart for CSM). I calculated a house edge of 16.00%.

I guess the Wizard is bored of stupid Blackjack questions.

I dont blame him, Ive read throughmostof the questions myself and Id be sick of blackjack related stuff :D

The answer to the 21+3 question is located here: https://wizardofodds.com/blackjack/appendix8.html#21+3. House edge is 3.24%.

Looks like 0.43% on the house edge. You can use my blackjack house edge calculator for that. Then add 0.11% for the European no hole card rule.

As someone noted, side bets are covered in my blackjack appendix 8.

About the player who only stood, I have no idea. Just off the top of my head, I would say he is bucking about a 20% house edge.

Thanks for that. Missed the house edge calculator and must have overlooked the appendix with side bets.

Reviving a long dead thread but:

Can anyone refer me to a url with a combination analysis of the 21+3 sidebet for an 8 deck shoe? Basically, the number of combinations for a 3 card SF, Trips, Straight, Flush, etc?

Or alternately, if you have one that you've calculated yourself, could you post it? I'm trying to save my self the work of calculating it, lol.

I think the approach is to look at SF as there are 48 ways to get one (e.g. AsKsQs) and each of them you could have 8 of As, 8 of Ks, 8 of Qs; so is 48*8*8*8.

With Trips and Straights you just multiply the ways of getting them with the cards use but need to avoid double counting them when working out Flushes (e.g A A A is any Ace, any Ace, any Ace 32*31*30/6 but at the Flush stage ignore AsAsAs etc.) and subtracting the SFs.

Also, depending on the method you use, remember a Pair could also be a flush with multiple decks (AsAsKs).

Quote: gordonm888

Reviving a long dead thread but:

Can anyone refer me to a url with a combination analysis of the 21+3 sidebet for an 8 deck shoe? Basically, the number of combinations for a 3 card SF, Trips, Straight, Flush, etc?

Or alternately, if you have one that you've calculated yourself, could you post it? I'm trying to save my self the work of calculating it, lol.

I have it listed at http://miplet.net/blackjack/ . Just download and edit the deck composition.