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TVBET Blackjack
Introduction
What I call "TVBET Blackjack" could loosely be described as a blackjack variant by TVBET, a provider of live dealer games for Internet casinos. They call the game just "blackjack," I wanted to differentiate it from conventional blackjack, thus the name "TVBET Blackjack.
The game is pits a single player hand against the dealer. Both draw until 17 or more. Players may wager on the winning outcome of the hand and various other proposition bets.
Rules
- The game is played with a single 52-card deck.
- All cards are scored as in conventional blackjack, as follows:
- 2 to 10 = Pip value
- Face cards = 10 points
- Aces = 1 or 11 points
- The following is a list of bets available and what they pay (on a "for one" basis):
- Player wins — Pays 2.3
- Dealer wins — Pays 1.93
- Tie — Pays 10
- Player wins with blackjack — Pays 20
- Dealer wins with blackjack — Pays 29
- Either side wins with blackjack — Pays 12
- Either side busts — Pays 2.01
- Neither side busts — Pays 1.8
- Winning side has two cards — Pays 3.1
- Winning side has three cards — Pays 4.13
- After betting is closed, the dealer shall deal two cards to the player hand and one to the dealer hand.
- If the player hand has a blackjack, then the dealer shall deal a single card to the dealer hand, if a blackjack is possible in that hand, for the possibility of a blackjack tie.
- If the player hand is not a blackjack, then the dealer shall deal cards to the player hand until that total is 17 or more. This includes standing on a soft 17.
- If the player busted, then the dealer hand shall automatically win. No further cards shall be dealt to the dealer hand, even if the dealer had a 10 or ace up.
- If the player hand didn't bust and the winning outcome isn't obvious, then the dealer shall offer players to make new wagers with adjusted odds.
- After the second round of betting is closed, the dealer shall deal cards to the dealer hand until that hand has 17 or more points.
- If the dealer hand busts, then the the player hand shall win.
- Otherwise, if neither hand busted and neither had a blackjack, then the higher hand shall win.
Here are some additional comments on the various bets:
- Player wins — The bet shall win if the player hand wins in any way. This bet shall lose in the event of a tie.
- Dealer wins — The bet shall win if the dealer hand wins in any way. This bet shall lose in the event of a tie.
- Tie — This bet wins in the event of any tie.
- Player wins with blackjack — Note that this bet loses in the event of a blackjack tie.
- Dealer wins with blackjack — Note that this bet loses in the event of a blackjack tie.
- Either side wins with blackjack — This bet also loses on a blackjack tie, as neither side won.
- Either side busts — Note the dealer hand will not draw any cards if the player hand is a blackjack.
- Neither side busts — Note the dealer hand will not draw any cards if the player hand is a blackjack.
- Winning side has two cards — This bet loses in the event of a tie. The dealer hand does not draw if the player busts.
- Winning side has three cards — This bet loses in the event of a tie. The dealer hand does not draw if the player busts.
In case you are wondering why a dealer blackjack pays much more than a player blackjack, it is because the dealer will not play out his hand, even if a blackjack is possible, if the player busts.
Analysis
The following table shows the results of a random simulation of 3,363,000,000 rounds played. The right column shows the best bet is on either side to bust at a return of 95.09%.
Return Table
Bet | Pays | Wins | Probability | Return |
---|---|---|---|---|
Player wins | 2.3 | 1,387,304,029 | 0.412520 | 0.948796 |
Dealer wins | 1.93 | 1,656,638,706 | 0.492607 | 0.950732 |
Tie | 10 | 319,057,265 | 0.094873 | 0.948728 |
Blackjack win | 12 | 265,627,284 | 0.078985 | 0.947823 |
Player BJ win | 20 | 156,359,378 | 0.046494 | 0.929880 |
Dealer BJ win | 29 | 109,267,906 | 0.032491 | 0.942245 |
Bust | 2.01 | 1,590,950,398 | 0.473075 | 0.950880 |
No bust | 1.8 | 1,772,049,602 | 0.526925 | 0.948465 |
Win with two cards | 3.1 | 1,029,352,213 | 0.306082 | 0.948853 |
Win with three cards | 4.13 | 773,946,265 | 0.230136 | 0.950460 |
I looked at the mid-state odds of six hands where it was offered. The returns ranged from 94.3% to 95.1%, with a mean of 94.9%.
A press release about this game mentioned there are supposed to be bets on the total points in the winning hand. However, I could find no such bets.
As long as I had to analyze the bets on 2 and 3 cards in the winning hand, here is a table showing all possibilities of 9 or less. When the player hand busts, I count it as a one-card win, since the dealer hand got one card only.
Cards in Winning Hand
Cards | Count | Probability |
---|---|---|
Tie | 319,057,265 | 0.094872811 |
1 | 953,685,843 | 0.283581874 |
2 | 1,029,352,213 | 0.306081538 |
3 | 773,946,265 | 0.230135672 |
4 | 244,786,751 | 0.072788210 |
5 | 38,642,182 | 0.011490390 |
6 | 3,361,775 | 0.000999636 |
7 | 163,575 | 0.000048640 |
8 | 4,096 | 0.000001218 |
9 | 35 | 0.000000010 |
Total | 3,363,000,000 | 1.000000000 |
Internal Links
TVBet has a very similar game called 21 Bet.