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How calculate combinations in baccarat?
| April 28th, 2011 at 9:33:51 AM permalink | |
| Josephine2705 Member since: Apr 28, 2011 Threads: 1 Posts: 2 | Hello, I wonder how to calculate combinations in baccarat (8-deck shoe). For example , what is the combinations when player has 2 cards with total 1 scores and banker has 2 cards with total 9 scores. The answer is 45,033,013,641,216 based on Wizard (his site is just amazing) How to get this number? here is the link: http://wizardofodds.com/baccarat/baccaratapx.html For example total combinations in baccarat is 416*415*414*413*412*411., it`s easy to calculate, but when I am trying to figgur out portions like above, I lost in some patterns. Can anybody help? Thank you. |
| April 28th, 2011 at 1:19:20 PM permalink | |
| pacomartin Member since: Jan 14, 2010 Threads: 547 Posts: 6211 | Usually the Wizard is good about showing formulas if they are algebraic. He clearly wrote a computer program to do those tables. The numbers do not look like they are easy to calculate. For instance if you prime factor the first column you get almost nothing. 28979901420544 = 2^10*29*107* 9,120,427 24291119898624 = 2^13*3* 988,408,199 26957461020672 = 2^13*11*23* 3,559 46033607532544 = 2^13*23*571*1929* 2,839,483 46171612971008 = 2^16*7*47* 2,141,407 etc. Wine loved I deeply, dice dearly -Edgar, betrayed son of Gloucester in King Lear |
| April 30th, 2011 at 9:01:30 PM permalink | |
| Josephine2705 Member since: Apr 28, 2011 Threads: 1 Posts: 2 | Thank you. But even that numbers were figur out by a computer program. Formula exists. Like all this 9,120,427 ; 988,408,199 and so on... can be calculated. It should be "+" in formulas for partial numbers of combinations as well I guess... Thanks... |
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