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Wiz, You are the man! You have far and away the best gambling site on the 'net. Being an actuary myself (ACAS), I love to see someone putting their math skills to good use.
My question — When late surrender is allowed, do you still want to split eights with a ten showing? I'm guessing yes, but one of the hardest plays in BJ is splitting eights vs a ten.
As a side note, I just spent three days in Vegas, if you haven't done so already, you must try the Las Vegas Club and the World's Most Liberal blackjack Rules. Doubling is allowed on 3 or 4 cards, 6 cards <= 21 is an automatic winner, and late surrender. At six decks, I figured the house advantage to be 0.14%. Thanks for all of your hard work!!

Thanks for the kind words, Jim. Yes, you still want to split eights, even if late surrender is offered. Even if you can't double after a split you should still decline to surrender. Based on a two-deck game, where you can not double after splitting, the expected value of splitting 8,s against a 10 is -0.480673, better than the -0.5 by surrendering.
Contrary to their claim of having the 'World's Most Liberal Blackjack Rules' there are better single-deck games right across the street at the Horseshoe or the Golden Gate. It is the six decks at the Las Vegas Club which work against the player. Don't feel badly about falling for their marquee, I fell for it myself in my younger days before I knew the effects of rule variations.
Update: After this question, the Las Vegas Club changed their rules to pay 6 to 5 on a blackjack in their so-called 'World's Most Liberal Blackjack Rules.' The 6 to 5 does not even make it a legitimate blackjack game. You are much better off at any ordinary 3-2 game, which are easy to find elsewhere.

Here in Natchez we have a river boat casino that allows the Royal Match (version 1) with blackjack, using six decks. They also have an added bonus that if the player and dealer both get a royal match on the same hand, then the player is paid an additional $1,000. How does this affect the house edge?

This $1000 bonus lowers the house edge from 6.67% to 6.00%, assuming a $1 bet.

First off, great web site! I love it! In Reno I saw a game with the following rules: six decks, dealer hits soft 17, double after a split, re-split anything except aces, and the player could double on any number of cards. For example, the player could draw to a four-card total of 11 and then double. What is the house edge on this game?

You didn't state the surrender rule, so I'll assume it isn't allowed. According to my blackjack house edge calculator, and before considering the double any number of cards rule, the house edge is 0.64%. According to my list of rule variations, being allowed to double on any number of cards (a rule commonly found in Panama) is worth 0.23%. So, the house edge over the overall game is 0.64% - 0.23% = 0.41%. Indian casino near me.

Can blackjack be beaten under the following casino conditions:

The game is dealt face up from an 8 deck shoe, with the cut card appearing after 5 decks have been dealt (3 decks behind the cut).
Dealer stands on soft 17.
No surrender.
Can double down on any 2 card total without an ace.
Can split aces once only, one card on each.
Can split any other pair to a maximum of 3 hands.
Can double after split.
Dealer takes original bets only on blackjack.
Can take even money on blackjack when dealer’s upcard is an ace.
Table max is 50 times table min.
Card counting is permitted if the counter plays the first hand of the shoe, and plays every hand. Counter can play any number of boxes, and any bet amount. Counter can stop at any time, but cannot rejoin a shoe after missing a hand, or join a shoe that is partway through.

I haven't done any simulations, but my educated option is a definite yes, this game can be beaten. The strategy to use in this game would be to bet the minimum when the odds are against you and the maximum when they are in your favor. Normally a sudden 50 times increase in bet size would set off a huge red flag but it seems the counter could do this with impunity in your game. When Atlantic City first opened the casinos could not ask card counters to leave and entire tables were filled with people jumping suddenly from a $5 bet to $300, or whatever the minimums and maximums were. After taking a huge beating, the Atlantic City casinos begged the gaming authorities for a change in the rules, which they got. Not only could this be beaten, but I think it would be a card counters dream.

Do you have basic strategy for the following rules? Dealer takes 17-17, 18-18 and 19-19 ties, doubling after split is allowed, 3 resplits, no-peek, player can double 7-11 totals (soft and hard), dealer stands on soft 17, six decks.

Stanford Wong's Blackjack Count Analyzer is perfect for questions like this. Just plug in the rules and it produces an immediately basic strategy and is ready to run a simulation. Following is his basis strategy under these rules. I did a 31-million hand simulation using Blackjack Count Analyzer, which shows a house edge of 4.13%, under these rules. When I was in Finland they had single zero roulette, which has a much lower house edge than this game. Why the blackjack rules are so stingy in Finland I would like to know.

I was visiting an Indian casino the other day where the blackjack minimum bet was $2, but for each bet, they asked for an additional 25 cents (they did this by giving you 4 special 25 cent chips for each dollar chip you had) so essentially, you bet $2.25 to win back $2. While I was still able to walk away with a bit of a profit, I was wondering if there was a quick and easy way to calculate just how much of a house edge this 'commission' gave them? I know that compared to dealer hitting on soft 17, it's gotta be a killer.

The total house edge is [fee + (house edge)*(bet)]/[fee + bet]. Let's say the house edge is 0.8%. Then the house edge including the fee would be [$0.25 + $2.00*0.008][$0.25 + $2.00] = 11.82%.
However, a quick and easy estimate is to simply divide the fee by the bet as the increase in house edge due to the fee.

Your web site is awesome! I enjoy your advice and am amazed at the simple way you explain things about gaming in a way I can understand. My question is this -- while playing a benefit blackjack game where they have from what I could tell, all the 'Vegas' rules, I found out they were paying two to one for a blackjack. This seems like a big benefit to the player; just how big is it? (this is no joke or prank, I actually played at the table where they were doing this!)

Thanks for the compliment. If I had been at this game I would have played it hard. Assuming six-decks and otherwise Vegas rules, the player edge would have been 1.94%. The 2 to 1 on blackjack adds 2.37% to the player's expected return in a six-deck game.

The Flamingo is offering a single deck blackjack game with regular downtown rules (hs17). The only difference is that they altered the natural payoff to 6 to 5 instead on the normal 3 to 2. My questions are; How does that affect the starting advantage on this game? What would it be? How would it affect the insurance wager? Specifically what would Insurance have to pay in order for the player to get 'even money' and be square to the 6 to 5 payoff?

Using my good ol' blackjack house edge calculator normal downtown rules result in a house edge of 0.1896%. In single deck the probability of a player blackjack and no dealer blackjack is 2*(16/52)*(4/51)*(1-2*(15/50)*(3/49))= 0.046492. Reducing the BJ win from 1.5 to 1.2 results in increasing the house e

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