Ask The Wizard #193
Recently, electronic blackjack tables were introduced in the racinos of Pennsylvania. It appears that for these to be set up, they needed to function similarly to slot machines or video poker. Does this imply that the outcomes are predetermined during the card distribution? Additionally, I'm unfamiliar with the rules; could you share what the house advantage is for this game?
The game you mentioned is developed by Shufflemaster, specifically their TMS-300 series. It has the same mathematical foundation as a hand-dealt game. Players should apply standard basic strategy when playing. To conform to state gaming regulations in Pennsylvania, a unique shoe is utilized for each participant, ensuring that one player's actions don’t impact others. Conversely, in other states, a single shoe is used. Shufflemaster has informed me of some consistent rules across all units.
7-card Charlie.
Double after split allowed.
Late surrender allowed.
Player may split only once.
Split aces get one card each.
In games using six decks, shuffling occurs after two-thirds of the shoe has been dealt. Players aren't notified when the shuffle happens. For single-deck games, cards are reshuffled after every hand.
The table below outlines various configurable rules along with the corresponding house edge for each variation, based on a total-dependent basic strategy.
Shufflemaster TMS-300 Video Blackjack Overview
Number of Decks |
Blackjack Pays |
Soft 17 |
Hole Card |
House Edge |
6 | 3 to 2 | Stands | American | 0.39% |
6 | 3 to 2 | Stands | European | 0.50% |
6 | 3 to 2 | Hits | American | 0.59% |
6 | 3 to 2 | Hits | European | 0.69% |
1 | 6 to 5 | Stands | American | 1.25% |
On a plane with a seating capacity of 180, what are my chances of sitting beside the attractive person I noticed who is on the same flight?
The likelihood depends on how many seats are grouped together. Most domestic flights feature three seats on each side of the aisle, totaling 60 groups of three. Once one of you takes a seat, there are two available spots in the same group remaining out of the 179, giving you a 2/179 chance, which is approximately 1.12%. Furthermore, you want to avoid having someone else occupy the middle seat, which has a probability of 1 in 3. Thus the final calculation is (2/179)*(2/3) = about 0.74%, translating to about 1 in 134.25.
I have an etiquette-related inquiry concerning blackjack tables that I couldn't find addressed on your website. I visit my local casino monthly with friends, mostly just for fun. However, they are not very familiar with the game or its basic strategies. My question is: when we are playing together at the table, is it appropriate for me to offer them guidance on how to play their hands? Can I suggest they split, double down, or stand, or would this disturb the dealer or other patrons? Is it considered appropriate behavior?
I appreciate the fantastic information on your website! Sometimes, I get a bit lost within your odds calculations, but they're incredibly enlightening!
Thank you very much for the positive feedback! In this scenario, it would absolutely be fine to provide advice. Generally speaking, it’s permissible to give advice when asked, even to those you don't know. Dealers tend to disapprove of unsolicited advice, as it can complicate matters if it's unclear who is being consulted. If a player appears to be directed their query at the dealer, then advice should not be given. When unsure, I opt to remain silent.
In playing Three Card Poker and noticing a dealer card, I know that the edge is 3.48% when played optimally. However, the version I play features a 1, 3, or 4 Ante Bonus table. I’m curious how this affects my advantage in the game, particularly if I can only discern between ace, face cards, and others.
By the way, I only engage in this game due to your book and it's one of those sloppy blackjack dealers dealing Three Card Poker. The first time I played, I hit a straight flush, and the way the table 'experts' reacted to my failure to play pair plus was worth the 40 to 1 bet I didn't win. Sometimes, ignorance really is bliss.
I appreciate your purchase of my book! I learned that someone has indeed bought a copy. The distinction in house edge between the typical 1/4/5 and the 1/3/4 pay tables is 0.46%. As a result, the player advantage drops from 3.48% to 3.02% if you can accurately identify the dealer's rank, it goes down to 1.95% if you can only distinguish between an ace, a face card, and a non-face card. This increases the house edge to 2.89% if you can only tell between face cards and non-face cards.
I’ve sat through numerous lectures on Pairplus in silence, so I can relate to your feelings.
For additional insights, please refer to my section on flashing Three Card Poker dealers .
I have studied and used your blackjack appendix 16 (strategies for recognizing the dealer's hole-card) that I've been examining for a while, but there remains one scenario I can't explain mathematically: A2 versus a 5. Basic strategy indicates this should be a double. By applying your 'effect of card removal' numbers, eliminating a 2 and 3 from the deck while holding a soft 13 should advantage the player, not hinder. What could I be overlooking?
The reason for this is that my basic blackjack strategy is tailored for eight decks or fewer, while the dealer flashing strategy assumes an infinite number of decks. When playing infinite-deck blackjack, it’s advisable to hit A2 against a 5 as well. My choice for this assumption is a simplified analysis of blackjack. I used this approximation since I believe it’s not a heavily visited page, and the potential errors are minimal, equating to only one unit lost for every 202,000 units wagered.
I'm planning a trip to England, and I’ve learned that the Rendezvous Casino in Brighton features different payout structures for craps compared to U.S. casinos. Can you share the house edge for the different bets that are unique there?
Place 4,10 - 9 1/2 to 5
Place 5,9 -7 to 5
Place 6,8 - 7 to 6
Any Craps - 7 1/2 to 1
Hardways 4,10 - 7 1/2 to 1
Hardways 6,8 - 9 1/2 to 1
Aces/Midnight - 33 to 1
Ace,Deuce/Eleven - 16 to 1
I recently added new information to my craps section about the Rendezvous Rules .
Is there a house edge associated with playing Microsoft Solitaire? I've been consistently winning against my co-worker, who claims there's a player advantage.
Yes, there must be. Cryptologic Online casinos have provided this game for years, following the Vegas rules. They also offer a version where cards in the tableau are revealed one at a time and can only be cycled through once. Under the Microsoft Vegas rules, players receive five times their bet per card for each one that goes into the stacks. If I could, I would bank that game all day long.