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.
