See the top rated post in this thread. Click here

Page 1 of 2 12 LastLast
Results 1 to 13 of 21

Thread: Average number of cards per hand

  1. #1


    Did you find this post helpful? Yes | No

    Average number of cards per hand

    Hey guys,

    I was wondering if anybody knows the average number of cards per hand while playing basic strat. Thanks in advance

    Smarter Brick

  2. #2


    Did you find this post helpful? Yes | No
    Quote Originally Posted by Bricklayer View Post
    Hey guys,

    I was wondering if anybody knows the average number of cards per hand while playing basic strat. Thanks in advance

    Smarter Brick
    2.7 cards per hand used in blackjack. I think this is in Blackjack Attack somewhere.

    Edit: See this link.
    https://www.blackjackincolor.com/cardsperround.htm

  3. #3


    Did you find this post helpful? Yes | No
    I assume that the number of dealer cards depends on the S17 versus H17 rule. Did some computer calculations years ago about dealer probabilities and number of cards of dealer final hands, but have to look them up first. Till later.

  4. #4


    Did you find this post helpful? Yes | No
    it depends, the dealer uses more cards than the player. I use 2.5 for simplicity of calculations.

  5. #5


    Did you find this post helpful? Yes | No
    Quote Originally Posted by PinkChip View Post
    I assume that the number of dealer cards depends on the S17 versus H17 rule. Did some computer calculations years ago about dealer probabilities and number of cards of dealer final hands, but have to look them up first. Till later.
    My computer calculations for six decks resulted in

    If the dealer stands on soft 17 (S17 rule), he takes 2.904745 cards on average and busts in 28.192134 %.
    If the dealer hits on soft 17 (H17 rule), he takes 2.930763 cards on average and busts in 28.576020 %.

    The H17 number of approximately 2.93 cards for the dealer quite well corresponds to the diagram in the link posted above.
    But I did no Monte Carlo simulation for different number of players at the table. Rather than that, I computed the exact numbers
    using combinatorial analysis, but assuming the dealer plays out his hand in any case, and ignoring any players or their potential cards or busts.
    Last edited by PinkChip; 11-16-2019 at 12:34 PM.

  6. #6


    Did you find this post helpful? Yes | No
    Quote Originally Posted by PinkChip View Post
    Rather than that, I computed the exact numbers
    using combinatorial analysis, but assuming the dealer plays out his hand in any case, and ignoring any players or their potential cards or busts.
    Well, you understand that, with only one or two players at the table, the dealer will not always play out his hand, and that will affect both of the numbers that you calculated.

    Don

  7. #7


    Did you find this post helpful? Yes | No
    Quote Originally Posted by DSchles View Post
    Well, you understand that, with only one or two players at the table, the dealer will not always play out his hand, and that will affect both of the numbers that you calculated.

    Don
    Yes of course. That's the reason why with only one player, the number in the linked table is significantly lower, 2.78 rather than more than 2.92. I guess the usual procedure for the dealer is to not play out her hand if all players busted or had a natural. But I am not sure if there are any casinos that require the dealer to play out her hand in any case (someone recently mentioned such a procedure in another thread).

  8. #8


    Did you find this post helpful? Yes | No
    As a recreational player, I have never used the 2.7 calculation. Wonder if the AP’s here would share when you think about using it as you play. Me, I look at the discard tray and cut card placement and make my decisions.

  9. #9


    Did you find this post helpful? Yes | No
    Quote Originally Posted by PinkChip View Post
    Yes of course. That's the reason why with only one player, the number in the linked table is significantly lower, 2.78 rather than more than 2.92. I guess the usual procedure for the dealer is to not play out her hand if all players busted or had a natural. But I am not sure if there are any casinos that require the dealer to play out her hand in any case (someone recently mentioned such a procedure in another thread).
    It would be extremely unusual. I've never seen it in 44 years of playing.

    Don

  10. #10


    Did you find this post helpful? Yes | No
    Quote Originally Posted by ZeeBabar View Post
    As a recreational player, I have never used the 2.7 calculation. Wonder if the AP’s here would share when you think about using it as you play. Me, I look at the discard tray and cut card placement and make my decisions.

    Yeah, it's not for estimating how many decks have been played.

  11. #11


    Did you find this post helpful? Yes | No
    Nice 2.75 combined. So about 50 (47.27) hands for an individual per 8 deck shoe if they go 5/8. Or 9.45 hands per deck. Thanks guys. Or is the player going to receive more hands due to busts? 10 seems legit. Lol.
    Assuming 1 person vs a dealer.

    Brick
    Last edited by Bricklayer; 11-16-2019 at 09:10 PM.

  12. #12


    Did you find this post helpful? Yes | No
    They say if 3 hands are being played its roughly 10 cards per hand played so again roughly 5 hands played per for a deck of discard

  13. #13


    Did you find this post helpful? Yes | No
    They say as in who?

    The graph said 2.75 combined. Def is more reasonable. Considering “it’s a game of 3 cards” you know. As they say. We can see it’s 2.75 combined. So tear the corner off.

Page 1 of 2 12 LastLast

Similar Threads

  1. What is the average number of hit cards per hand for a H17 game?
    By 21forme in forum General Blackjack Forum
    Replies: 6
    Last Post: 04-03-2019, 11:39 PM
  2. Average number of cards per hand per count
    By Blackriver in forum General Blackjack Forum
    Replies: 7
    Last Post: 02-12-2013, 01:57 PM
  3. dcbclimb: Average # cards per hand
    By dcbclimb in forum Blackjack Main
    Replies: 2
    Last Post: 07-18-2008, 07:16 PM
  4. Replies: 2
    Last Post: 06-01-2007, 05:48 PM
  5. Brick Waller: Average cards per hand.
    By Brick Waller in forum Blackjack Main
    Replies: 1
    Last Post: 09-18-2004, 08:10 PM

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  

About Blackjack: The Forum

BJTF is an advantage player site based on the principles of comity. That is, civil and considerate behavior for the mutual benefit of all involved. The goal of advantage play is the legal extraction of funds from gaming establishments by gaining a mathematic advantage and developing the skills required to use that advantage. To maximize our success, it is important to understand that we are all on the same side. Personal conflicts simply get in the way of our goals.