# Thread: How many cards are used each hand by average when playing Spanish 21?

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## How many cards are used each hand by average when playing Spanish 21?

In Blackjack, the average number of cards used in each hand when in playing is about 2.7, but it seems this number should be greater than 3 in Spanish 21. How many cards are actually used each hand by average when playing Spanish 21? How to calculate this?

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A question I haven't heard before. Depends on rules, strategy, number of players, and if you are averaging in dealer hands. Generally, around 2.87. That's dealer and player hand average heads-up. It must be simulated.

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Originally Posted by Norm
A question I haven't heard before. Depends on rules and strategy. Generally, around 2.87. It must be simulated.
This is cool. Can you also simulate these questions?
In Blackjack, if the dealer does not bust, the average hand she will make is about 18.3 for Stand-17 games or 18.4 for Hit-17 games.
In Spanish 21, what are these numbers?

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Yes, I can.

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Originally Posted by Norm
A question I haven't heard before. Depends on rules, strategy, number of players, and if you are averaging in dealer hands. Generally, around 2.87. That's dealer and player hand average heads-up. It must be simulated.
Actually, if we separately consider the average numbers of cards in the dealer hand and the player hand, what are the averages?

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2.7 in Blackjack and 2.9 in Spanish 21.

For 8D, H17 Spanish 21 the frequency of drawing hands is 73% for two cards, 21.9% for three cards, 4.3% for four cards, 0.7% for five cards and 0.1% for six or more cards. Note that these figures do not include two card hands that you stand with. If they were included the two card percentage would be higher and the rest lower.

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Originally Posted by davethebuilder
2.7 in Blackjack and 2.9 in Spanish 21.

For 8D, H17 Spanish 21 the frequency of drawing hands is 73% for two cards, 21.9% for three cards, 4.3% for four cards, 0.7% for five cards and 0.1% for six or more cards. Note that these figures do not include two card hands that you stand with. If they were included the two card percentage would be higher and the rest lower.
This is even more specific, but it seems you are talking about the player’s hands, not the dealer’s hand? Do dealers need more cards to complete their hands, or players?
On another note, I calculated the average dealer hand value for Spanish 21 using an infinite deck model and found it is slightly smaller (4th decimal place) than that of Blackjack, but the bust rate in Spanish 21 is a lot smaller. Can you also help confirm these numbers.

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I have just simulated a spanish 21 game recently.

RULES : CSM-6D(spanish deck)-H17-D9-DAS-RS3-RSA2-BJAUTOWIN-21AUTOWIN-DDR-OBBO-Late Surrender-MULTICARD 21 or 678 or 777-AUTOWIN BONUS-1.5-2.0-3.0, No Multicard Double Down, No Redoubling.

1) DDR - Means DOUBLE DOWN RESCUE, after double down, if player thinks it is not a good hand, player can surrender and net loss 1 units.

2) Multicard21 ---- 5 cards 21, 6 cards 21 and 7(or more)cards 21, will get autowin 1.5 units, 2 units and 3 units respectively.

3) Non suited 678 or 777, suited 678 or 777(other than SPADE) and SPADE 678 or 777, will be autowin 1.5 units, 2 units and 3 units respectively.

4) 2 cards 21(split Ace and hit T, not PONTOON but 21 points), 3 cards 21 and 4 cards 21 will be autowin 1 units.

5) OBBO rules - No hole card, when dealer have PONTOON, player will lose original bet(1 unit) of each un-busted hands(inclusive of split hands) + lose all busted hands.

*Autowin - Player will get paid immediately(before dealer reveal her hole card) regardless of dealer's final total.

Dealer average cards/hand = 2.82
Player average cards/hand = 2.95

Below is my proposed Basic Strategy:-

S4 - STAND, except hit with 4 or more cards
S5 - STAND, except hit with 5 or more cards
S6 - STAND, except hit with 6 or more cards
P77 - SPLIT, except HIT if suited 7,7 vs any 7(Hope to get special bonus, 1 Pay 200)

PINK cell - HIT if any 678 is possible
ORANGE cell - HIT if any suited 678 is possible
GREY cell - HIT if any SPADE 678 is possible

Double Down Rescue : 12-16 vs 8-A, 17 vs A

SP BS.jpg

Norm, may be you can verify my results ? The simulated house edge is = - 0.54%

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Originally Posted by James989

Dealer average cards/hand = 2.82
Player average cards/hand = 2.95

SP BS.jpg

Norm, may be you can verify my results ? The simulated house edge is = - 0.54%
This is great, but my Spanish 21 is different. They are 8-Spanish-deck shoes, Stand-17, DAS, RS3, RSA3, Hit-Split Aces, BJautowin1.5, non-BJ21auwin1.0, DDR, Dealer peek for BJ, Late Surrender, MULTICARD 21 or 678 or 777-AUTOWIN BONUS-1.5-2.0-3.0, DD any number of cards, No Redoubling.

To beat this game, I have done some rough analysis to break down different EV contributions.
Blackjack EV (8-deck Stand-17): -0.36%
Removal of 4 Tens each deck: -2%
Addition of player 21 always win 1.0+Player BJ always win 1.5: +1%
Hit to split Aces+Split multiple Aces: +0.3%
Double any number of cards: +0.2%

But I don’t know how to calculate these two EV contributions:
MULTICARD 21 or 678 or 777-AUTOWIN BONUS: ???
Double down rescue: ???

Any idea?

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Originally Posted by aceside
This is great, but my Spanish 21 is different. They are 8-Spanish-deck shoes, Stand-17, DAS, RS3, RSA3, Hit-Split Aces, BJautowin1.5, non-BJ21auwin1.0, DDR, Dealer peek for BJ, Late Surrender, MULTICARD 21 or 678 or 777-AUTOWIN BONUS-1.5-2.0-3.0, DD any number of cards, No Redoubling.

To beat this game, I have done some rough analysis to break down different EV contributions.
Blackjack EV (8-deck Stand-17): -0.36%
Removal of 4 Tens each deck: -2%
Addition of player 21 always win 1.0+Player BJ always win 1.5: +1%
Hit to split Aces+Split multiple Aces: +0.3%
Double any number of cards: +0.2%

But I don’t know how to calculate these two EV contributions:
MULTICARD 21 or 678 or 777-AUTOWIN BONUS: ???
Double down rescue: ???

Any idea?
I think it can be calculated through simulations.

BTW, the PEEK rules is favor to the dealer, simply because player have lower chance to get autowin for MUTICARD 21, 678 and 777.

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