tgsbeast
tgsbeast
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Joined: Dec 18, 2012
December 18th, 2012 at 5:01:51 PM permalink
I was wondering if anyone could help me with this list of probabilities?
My math isnt the greatest..... (under-statement!)

6 decks, dealer pulls to soft 17

Odds of the dealer getting any 21 NOT including blackjack.
Odds of the dealer getting any 21 including blackjack.
7-7-7 different colours
7-7-7 same colour
7-7-7 suited
6-7-8 different colours
6-7-8 same colour
6-7-8 suited

I also want to know the odds of the player getting 21 including blackjack while playing perfect strategy. Ive got a feeling this one might be slightly ridiculous to calculate?

I really dont know how to work this out without writing down every possible hand combination.... (that's just silly!)

Any help is massively appreciated! Thx guys
AceTwo
AceTwo
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Joined: Mar 13, 2012
December 19th, 2012 at 6:35:44 AM permalink
Quote: tgsbeast

I really dont know how to work this out without writing down every possible hand combination.... (that's just silly!)


Well acctually that's the only way to calculate it, writing down all possible hand combinations, ot having a combinatorial program going through all possible hand combinations.

For 6 decks, Dealer stands on S17:
Dealer Odds
Odds for 21: 7,2874%
Odds for BJ: 4,7489%

Regarding the specific hands you mentioned I do not know the answer.
98Clubs
98Clubs
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Joined: Jun 3, 2010
December 19th, 2012 at 11:44:10 AM permalink
the chances for all 7-7-7 bets are found here

Elsewhere on the linked page, one can determine the chances for 6-7-8 types. The page is an interesting read.
Edited: the way you broke-down the 777 and 678 is unusual, and isn't there.

Blackjack is usually estimated as 1 in 21, but is actually 1 in 21.06 in your case (.047485).
Some people need to reimagine their thinking.
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