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How Often Do You Receive Certain Hands?
"8 Decks - Hand Frequency"

Do You Play The Over Under Side Bet?

I was asked a question about how frequent would you get a Pair of Face cards?  Not a problem, the Playing 21 Blackjack Program tracks how frequent you receive every hand versus every dealer up card at each count for any number of decks you use in the game.

I could show this as simple percentages but some of the numbers are smaller and may not mean as much.  Here is how often you'd receive each hand with 8 decks of cards per every 10,000 hands in the game Blackjack.

Hard Totals Per 10,000 Hands - Dealer's Up Card (Rounded Off)

Hand A 2 3 4 5 6 7 8 9 10 Totals
5 9 9 9 9 9 9 9 9 9 37 118
6 9 9 9 9 9 9 9 9 9 37 118
7 18 18 18 18 18 18 18 18 18 73 235
8 18 18 18 18 18 18 18 18 18 73 235
9 28 27 27 27 27 27 27 27 27 110 354
10 28 27 27 27 27 27 27 27 28 110 355
11 37 36 37 36 36 36 36 36 36 147 473
12 64 63 64 64 64 64 64 64 64 256 831
13 64 64 63 64 64 64 64 64 64 256 831
14 55 55 55 54 55 55 55 55 55 219 713
15 55 55 55 55 54 55 55 55 55 219 713
16 46 46 46 46 46 45 46 46 46 182 595
17 46 46 46 46 46 46 45 46 46 182 595
18 37 37 37 37 37 37 37 36 37 145 477
19 37 37 37 37 37 37 37 37 35 145 476
Totals 551 547 548 547 547 547 547 547 547 2191 7119

Soft Totals Per 10,000 Hands - Dealer's Up Card (Rounded Off)

Hand A 2 3 4 5 6 7 8 9 10 Totals
A2 9 9 9 9 9 9 9 9 9 37 118
A3 9 9 9 9 9 9 9 9 9 37 118
A4 9 9 9 9 9 9 9 9 9 37 118
A5 9 9 9 9 9 9 9 9 9 37 118
A6 9 9 9 9 9 9 9 9 9 37 118
A7 9 9 9 9 9 9 9 9 9 37 118
A8 9 9 9 9 9 9 9 9 9 37 118
A9 9 9 9 9 9 9 9 9 9 37 118
A10 36 37 37 37 37 37 37 37 37 145 477
Totals 108 109 109 109 109 109 109 109 109 441 1421

Pair Totals Per 10,000 Hands - Dealer's Up Card (Rounded Off)

Hand A 2 3 4 5 6 7 8 9 10 Totals
A-A 4 4 4 4 4 4 4 4 4 18 54
2-2 4 4 4 4 4 4 4 4 4 18 54
3-3 4 4 4 4 4 4 4 4 4 18 54
4-4 4 4 4 4 4 4 4 4 4 18 54
5-5 4 4 4 4 4 4 4 4 4 18 54
6-6 4 4 4 4 4 4 4 4 4 18 54
7-7 4 4 4 4 4 4 4 4 4 18 54
8-8 4 4 4 4 4 4 4 4 4 18 54
9-9 4 4 4 4 4 4 4 4 4 18 54
10-10 73 73 73 73 73 73 73 73 73 286 943
Totals 109 109 109 109 109 109 109 109 109 448 1429
All
Totals
768 765 766 765 765 765 765 765 765 3080 9969

With the rounding I have used to a whole number, I came up 31 shy of 10,000 at 9,969.  I could correct the rounding problem by using one decimal place or rounding it up and entire area and going over the 10,000 total.

One thing to remember is it doesn't matter if you count cards or not or how you count, these numbers will not change.  What will change is how often you receive these at each count if you are card counting.  So it is a cycle.  You get these hands over and over.  If you don't play each correctly every time, you can tell by how frequent some hands come up, just how many mistakes you could be making in the game.

Hard Hands do not include Pairs.  So a Pair of 8s is only tracked in the Pair of 8-8 category and not in the Hard 16 category.  Using these Statistics you can roughly say you start with a Hard hand 71.19% of the time.  If you moved the Pair of 10s up to a Hard Hand it now goes over 80% of the time you are starting with a Hard Hand Total.

These percentages will change depending on the number of decks used and these numbers are for 8 decks of cards.  If you'd like to state the above in a percentage, just move two spaces to the left and place a decimal.  So 768 becomes 7.68% or 473 is 4.73% as in you start with a Hard 11 total 4.73% of the time with 8 Decks.

You can see why the game Blackjack is hard to win at by looking at the Hard Totals.  Look how often you start with a 12, 13, 14, 15, 16!!!  Factor that in with you always play your hand before the dealer, which means, when you bust and the dealer busts on the same hand, the dealer wins and you see where the house gets their advantage in the game.  The players get it back through Blackjacks and strategic play through the remaining hands. 

The Playing 21 Program will show you how to play all these hands, at 21 different counts for every hand if you card count and the program stores all that information for you to access.  Stick around and we'll continue to show you how it all works right here in the Playing 21 site.

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
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