TT: Probability question

[TT]

Could someone help me on this probability table?
I play one hand (bet: $1) with the following rules:
6D, S17, DOA, DAS, No Re-splitting, No Surrender.

My result
+$4
+$3
+$2
+$1.5 -> 4.53%
+$1
$0
-$1
-$2
-$3
-$4
Total -> 100.00%

Thanks in advance,
TT

[Don Schlesinger]

The following comes from appendix 4 of Mike Shackleford's wizardofodds.com site.

It's the closest I can come to what you're asking for.

Don

P.S. I notice you shopped this over at bj21.com and managed to confuse "DD'," which isn't so easy to do! But, I understood what you were looking for. :-)

Last Update: November 17, 2002

This appendix presents information pertinent to the standard deviation in blackjack. It should be noted my numbers come in a little higher than those using Stanford Wong's Blackjack Count Analyzer. My standard deviations come in about 0.016 higher. That said, the following table indicates the possible outcomes based on a 200 million hand simulation. Atlantic City rules (8 decks, double any first two cards, double after a split, split up to four hands, no surrender, dealer stands on soft 17) were used.

Final outcome in blackjack
Net win Number Probability
-8 48 0.00000024
-7 653 0.00000327
-6 4654 0.00002327
-5 22415 0.00011208
-4 114254 0.00057127
-3 465229 0.00232615
-2 9248859 0.04624430
-1 85919012 0.42959500
0 17594957 0.08797480
1 64221574 0.32110800
1.5 9052402 0.04526200
2 12616269 0.06308130
3 525109 0.00262555
4 169229 0.00084615
5 33994 0.00016997
6 9610 0.00004805
7 1576 0.00000788
8 156 0.00000078

The table shows the following information:

* Probability of net win = 43.31%

* Probability of tie = 8.80%

* Probability of net loss = 47.89%

* Average loss = 1.11

* Average win = 1.22

* Standard deviation = 1.17

[TT]

This is exactly what I was looking for.
Many thanks!

TT

[Don Schlesinger]

> This is exactly what I was looking for.
> Many thanks!

So, now, you don't have to shop on the other sites, right?! :-)

Don