DingDingDing
DingDingDing
Joined: Dec 13, 2016
  • Threads: 6
  • Posts: 29
December 18th, 2016 at 6:04:03 PM permalink
If money were omitted, and the dealer and player we simply recording "Wins and Losses" (so no use of doubling, etc. etc.)

What are the Probabilitys of Tieing, winning, and losing, any single hand of blackjack.
teliot
teliot
Joined: Oct 19, 2009
  • Threads: 39
  • Posts: 2184
December 18th, 2016 at 7:53:20 PM permalink
I computed the following by simulation:





My full article is here:

https://www.888casino.com/blog/blackjack-tips/blackjack-combinatorial-analysis-by-simulation/
Poetry website: www.totallydisconnected.com
charliepatrick
charliepatrick
Joined: Jun 17, 2011
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December 19th, 2016 at 1:07:46 AM permalink
Hi Eliot - interesting outcome. Could I comment that initially I didn't understand what the column "EV" meant (it ranged from 8 to -8, presumably because there's a limit of three splits or four hands) but I had read it as the Expected Value (in %) based on the count at the time! When I read the 3CP one, the penny dropped. Cheers.
teliot
teliot
Joined: Oct 19, 2009
  • Threads: 39
  • Posts: 2184
December 19th, 2016 at 6:36:44 AM permalink
Quote: charliepatrick

Hi Eliot - interesting outcome. Could I comment that initially I didn't understand what the column "EV" meant (it ranged from 8 to -8, presumably because there's a limit of three splits or four hands) but I had read it as the Expected Value (in %) based on the count at the time! When I read the 3CP one, the penny dropped. Cheers.

Yes, the payouts in BJ are from -8 to 8, and the sheet gives the frequency of occurrence of each pay.
Poetry website: www.totallydisconnected.com

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