Welcome Guest
Log In | Register )
You last visited January 17, 2017, 10:48 pm
All times shown are
Eastern Time (GMT-5:00)

Interesting facts about Sums 21-27 and digit 9

Topic closed. 6 replies. Last post 10 years ago by Clipper.

Page 1 of 1
51
PrintE-mailLink
Avatar
Texas
United States
Member #1477
May 7, 2003
2311 Posts
Offline
Posted: June 8, 2007, 10:59 pm - IP Logged

Been working a lot lately with Root Sums and formulating separate databases for combinations that Sum Total 0-10 and 21-27 separately from Sums 11-20.

Have found this useful in telling which way the combination is going to Sum Total when it doesnt Sum 11-20 which it does most of the time.  Made a Root Sum database as well and have determined that the next time the digits dont Sum 11-20, the Root Sum is going to be an Even Root Sum.

 In effort to figure out what this Root Sum would be I looked at the combinations that would Sum Total 21-27 and found the following:

 There is no PURE Even combination that will Sum Total 21-27 except for a Doubles game.  There is 1 three different digit ODD combination.

 

There are only 7 three different digit combinations that will Sum total 21-27  The digit 9 will be in six (6) of those combinations.  The 8 will be the highest digit in the other combination.
There are twice as many Doubles combinations then there are 3 different digit combinations.  There are 13 combinations in all.
Most of the Doubles combinations have either Double 8's or Double 9's.  There are 4 that have Double 8's and 6 that have Double 9's.
Two combinations have Double 7's and 1 combination has Double 6's.
Out of 20 Total sets of digits 12 of the sets will have Root Sums that will be Odd.  This leaves only 8 sets that will have an Even Root Sum.
Of the 8 sets that have Even Root Sums, five of the sets are Root Sum 4.  Two sets have Root Sum 6 and one has a Root Sum of 8.
It appears to me that anytime you can rule out the digit 9 you can just about rule out Sums 21-27 from playing.  Of the 20 different sets of digits the 9 is in 15!
AND....the 9 is only in TWO of the sets of digits that will Sum Total 0-10!    009 and 019
 
There is NO Root Sum 9 in Sums 21-27 except for Triple 999!
Of the 12 Odd Root Sums there are:
Root Sum 3 = six
Root Sum 5 = four
Root Sum 7 = two
    Avatar
    Texas
    United States
    Member #1477
    May 7, 2003
    2311 Posts
    Offline
    Posted: June 8, 2007, 11:35 pm - IP Logged

    Didnt Sum Total 11-20 tonight....162 played.  Didnt Root Sum Even either.  Need a little more time to study that database.  Even Root Sums in the Sums 0-10/21-27 group havent played in some time.

    In the Sums 0-10/21-27 category:

     

    Root 8 hasnt appeared in 11 games now

    Root 4  hasnt appeared in 12 games

    Root 2 hasnt appeared in 16 games

    Root 6 hasnt appeared in 21 games

      Raven62's avatar - binary
      New Jersey
      United States
      Member #17843
      June 28, 2005
      51029 Posts
      Offline
      Posted: June 9, 2007, 2:47 pm - IP Logged

      Pick 3 Pair SUM Chart (Straight)

      FP-BP: Combination(S)........................Total
      00-00: 000......................................01
      00-01: 001......................................01
      00-02: 002......................................01
      00-03: 003......................................01
      00-04: 004......................................01
      00-05: 005......................................01
      00-06: 006......................................01
      00-07: 007......................................01
      00-08: 008......................................01
      00-09: 009......................................01
      01-00: 100......................................01
      01-01: 010-101..................................02
      01-02: 011-102..................................02
      01-03: 012-103..................................02
      01-04: 013-104..................................02
      01-05: 014-105..................................02
      01-06: 015-106..................................02
      01-07: 016-107..................................02
      01-08: 017-108..................................02
      01-09: 018-109..................................02
      01-10: 019......................................01
      02-00: 200......................................01
      02-01: 110-201..................................02
      02-02: 020-111-202..............................03
      02-03: 021-112-203..............................03
      02-04: 022-113-204..............................03
      02-05: 023-114-205..............................03
      02-06: 024-115-206..............................03
      02-07: 025-116-207..............................03
      02-08: 026-117-208..............................03
      02-09: 027-118-209..............................03
      02-10: 028-119..................................02
      02-11: 029......................................01
      03-00: 300......................................01
      03-01: 210-301..................................02
      03-02: 120-211-302..............................03
      03-03: 030-121-212-303..........................04
      03-04: 031-122-213-304..........................04
      03-05: 032-123-214-305..........................04
      03-06: 033-124-215-306..........................04
      03-07: 034-125-216-307..........................04
      03-08: 035-126-217-308..........................04
      03-09: 036-127-218-309..........................04
      03-10: 037-128-219..............................03
      03-11: 038-129..................................02
      03-12: 039......................................01
      04-00: 400......................................01
      04-01: 310-401..................................02
      04-02: 220-311-402..............................03
      04-03: 130-221-312-403..........................04
      04-04: 040-131-222-313-404......................05
      04-05: 041-132-223-314-405......................05
      04-06: 042-133-224-315-406......................05
      04-07: 043-134-225-316-407......................05
      04-08: 044-135-226-317-408......................05
      04-09: 045-136-227-318-409......................05
      04-10: 046-137-228-319..........................04
      04-11: 047-138-229..............................03
      04-12: 048-139..................................02
      04-13: 049......................................01
      05-00: 500......................................01
      05-01: 410-501..................................02
      05-02: 320-411-502..............................03
      05-03: 230-321-412-503..........................04
      05-04: 140-231-322-413-504......................05
      05-05: 050-141-232-323-414-505..................06
      05-06: 051-142-233-324-415-506..................06
      05-07: 052-143-234-325-416-507..................06
      05-08: 053-144-235-326-417-508..................06
      05-09: 054-145-236-327-418-509..................06
      05-10: 055-146-237-328-419......................05
      05-11: 056-147-238-329..........................04
      05-12: 057-148-239..............................03
      05-13: 058-149..................................02
      05-14: 059......................................01
      06-00: 600......................................01
      06-01: 510-601..................................02
      06-02: 420-511-602..............................03
      06-03: 330-421-512-603..........................04
      06-04: 240-331-422-513-604......................05
      06-05: 150-241-332-423-514-605..................06
      06-06: 060-151-242-333-424-515-606..............07
      06-07: 061-152-243-334-425-516-607..............07
      06-08: 062-153-244-335-426-517-608..............07
      06-09: 063-154-245-336-427-518-609..............07
      06-10: 064-155-246-337-428-519..................06
      06-11: 065-156-247-338-429......................05
      06-12: 066-157-248-339..........................04
      06-13: 067-158-249..............................03
      06-14: 068-159..................................02
      06-15: 069......................................01
      07-00: 700......................................01
      07-01: 610-701..................................02
      07-02: 520-611-702..............................03
      07-03: 430-521-612-703..........................04
      07-04: 340-431-522-613-704......................05
      07-05: 250-341-432-523-614-705..................06
      07-06: 160-251-342-433-524-615-706..............07
      07-07: 070-161-252-343-434-525-616-707..........08
      07-08: 071-162-253-344-435-526-617-708..........08
      07-09: 072-163-254-345-436-527-618-709..........08
      07-10: 073-164-255-346-437-528-619..............07
      07-11: 074-165-256-347-438-529..................06
      07-12: 075-166-257-348-439......................05
      07-13: 076-167-258-349..........................04
      07-14: 077-168-259..............................03
      07-15: 078-169..................................02
      07-16: 079......................................01
      08-00: 800......................................01
      08-01: 710-801..................................02
      08-02: 620-711-802..............................03
      08-03: 530-621-712-803..........................04
      08-04: 440-531-622-713-804......................05
      08-05: 350-441-532-623-714-805..................06
      08-06: 260-351-442-533-624-715-806..............07
      08-07: 170-261-352-443-534-625-716-807..........08
      08-08: 080-171-262-353-444-535-626-717-808......09
      08-09: 081-172-263-354-445-536-627-718-809......09
      08-10: 082-173-264-355-446-537-628-719..........08
      08-11: 083-174-265-356-447-538-629..............07
      08-12: 084-175-266-357-448-539..................06
      08-13: 085-176-267-358-449......................05
      08-14: 086-177-268-359..........................04
      08-15: 087-178-269..............................03
      08-16: 088-179..................................02
      08-17: 089......................................01
      09-00: 900......................................01
      09-01: 810-901..................................02
      09-02: 720-811-902..............................03
      09-03: 630-721-812-903..........................04
      09-04: 540-631-722-813-904......................05
      09-05: 450-541-632-723-814-905..................06
      09-06: 360-451-542-633-724-815-906..............07
      09-07: 270-361-452-543-634-725-816-907..........08
      09-08: 180-271-362-453-544-635-726-817-908......09
      09-09: 090-181-272-363-454-545-636-727-818-909..10
      09-10: 091-182-273-364-455-546-637-728-819......09
      09-11: 092-183-274-365-456-547-638-729..........08
      09-12: 093-184-275-366-457-548-639..............07
      09-13: 094-185-276-367-458-549..................06
      09-14: 095-186-277-368-459......................05
      09-15: 096-187-278-369..........................04
      09-16: 097-188-279..............................03
      09-17: 098-189..................................02
      09-18: 099......................................01
      10-01: 910......................................01
      10-02: 820-911..................................02
      10-03: 730-821-912..............................03
      10-04: 640-731-822-913..........................04
      10-05: 550-641-732-823-914......................05
      10-06: 460-551-642-733-824-915..................06
      10-07: 370-461-552-643-734-825-916..............07
      10-08: 280-371-462-553-644-735-826-917..........08
      10-09: 190-281-372-463-554-645-736-827-918......09
      10-10: 191-282-373-464-555-646-737-828-919......09
      10-11: 192-283-374-465-556-647-738-829..........08
      10-12: 193-284-375-466-557-648-739..............07
      10-13: 194-285-376-467-558-649..................06
      10-14: 195-286-377-468-559......................05
      10-15: 196-287-378-469..........................04
      10-16: 197-288-379..............................03
      10-17: 198-289..................................02
      10-18: 199......................................01
      11-02: 920......................................01
      11-03: 830-921..................................02
      11-04: 740-831-922..............................03
      11-05: 650-741-832-923..........................04
      11-06: 560-651-742-833-924......................05
      11-07: 470-561-652-743-834-925..................06
      11-08: 380-471-562-653-744-835-926..............07
      11-09: 290-381-472-563-654-745-836-927..........08
      11-10: 291-382-473-564-655-746-837-928..........08
      11-11: 292-383-474-565-656-747-838-929..........08
      11-12: 293-384-475-566-657-748-839..............07
      11-13: 294-385-476-567-658-749..................06
      11-14: 295-386-477-568-659......................05
      11-15: 296-387-478-569..........................04
      11-16: 297-388-479..............................03
      11-17: 298-389..................................02
      11-18: 299......................................01
      12-03: 930......................................01
      12-04: 840-931..................................02
      12-05: 750-841-932..............................03
      12-06: 660-751-842-933..........................04
      12-07: 570-661-752-843-934......................05
      12-08: 480-571-662-753-844-935..................06
      12-09: 390-481-572-663-754-845-936..............07
      12-10: 391-482-573-664-755-846-937..............07
      12-11: 392-483-574-665-756-847-938..............07
      12-12: 393-484-575-666-757-848-939..............07
      12-13: 394-485-576-667-758-849..................06
      12-14: 395-486-577-668-759......................05
      12-15: 396-487-578-669..........................04
      12-16: 397-488-579..............................03
      12-17: 398-489..................................02
      12-18: 399......................................01
      13-04: 940......................................01
      13-05: 850-941..................................02
      13-06: 760-851-942..............................03
      13-07: 670-761-852-943..........................04
      13-08: 580-671-762-853-944......................05
      13-09: 490-581-672-763-854-945..................06
      13-10: 491-582-673-764-855-946..................06
      13-11: 492-583-674-765-856-947..................06
      13-12: 493-584-675-766-857-948..................06
      13-13: 494-585-676-767-858-949..................06
      13-14: 495-586-677-768-859......................05
      13-15: 496-587-678-769..........................04
      13-16: 497-588-679..............................03
      13-17: 498-589..................................02
      13-18: 499......................................01
      14-05: 950......................................01
      14-06: 860-951..................................02
      14-07: 770-861-952..............................03
      14-08: 680-771-862-953..........................04
      14-09: 590-681-772-863-954......................05
      14-10: 591-682-773-864-955......................05
      14-11: 592-683-774-865-956......................05
      14-12: 593-684-775-866-957......................05
      14-13: 594-685-776-867-958......................05
      14-14: 595-686-777-868-959......................05
      14-15: 596-687-778-869..........................04
      14-16: 597-688-779..............................03
      14-17: 598-689..................................02
      14-18: 599......................................01
      15-06: 960......................................01
      15-07: 870-961..................................02
      15-08: 780-871-962..............................03
      15-09: 690-781-872-963..........................04
      15-10: 691-782-873-964..........................04
      15-11: 692-783-874-965..........................04
      15-12: 693-784-875-966..........................04
      15-13: 694-785-876-967..........................04
      15-14: 695-786-877-968..........................04
      15-15: 696-787-878-969..........................04
      15-16: 697-788-879..............................03
      15-17: 698-789..................................02
      15-18: 699......................................01
      16-07: 970......................................01
      16-08: 880-971..................................02
      16-09: 790-881-972..............................03
      16-10: 791-882-973..............................03
      16-11: 792-883-974..............................03
      16-12: 793-884-975..............................03
      16-13: 794-885-976..............................03
      16-14: 795-886-977..............................03
      16-15: 796-887-978..............................03
      16-16: 797-888-979..............................03
      16-17: 798-889..................................02
      16-18: 799......................................01
      17-08: 980......................................01
      17-09: 890-981..................................02
      17-10: 891-982..................................02
      17-11: 892-983..................................02
      17-12: 893-984..................................02
      17-13: 894-985..................................02
      17-14: 895-986..................................02
      17-15: 896-987..................................02
      17-16: 897-988..................................02
      17-17: 898-989..................................02
      17-18: 899......................................01
      18-09: 990......................................01
      18-10: 991......................................01
      18-11: 992......................................01
      18-12: 993......................................01
      18-13: 994......................................01
      18-14: 995......................................01
      18-15: 996......................................01
      18-16: 997......................................01
      18-17: 998......................................01
      18-18: 999......................................01

      A mind once stretched by a new idea never returns to its original dimensions!

        Blackapple's avatar - nw rogue2.jpg
        Wyncote,Pa
        United States
        Member #3206
        January 3, 2004
        61375 Posts
        Online
        Posted: June 9, 2007, 3:19 pm - IP Logged

        11    12  13   14  15  16  17  18    19  20
        056 156 067 167 186 187 386 567 856 857
        038 318 085 185 087 367 098 387 487 956
        416 057 418 356 096 385 467 918 496 938
        407 093 436 095 456 916 485 936 298 497
        218 417 409 437 438 097 287 495       
        236 435 256 491 267 457 296 297       
        209 237 238 257 285 493               
        245 291 247 293 249 295 

        The ones below drop frequently

             
        056  067  567  857
        085  087 
        057  096  467  496
        407 093  095 456  485  298 497
         417 409 437  097 287 495     
        435 256 491 267 457 296 297       
        209 237 238 257 285 493               
        245 291 247 293 249 295 

          Blackapple's avatar - nw rogue2.jpg
          Wyncote,Pa
          United States
          Member #3206
          January 3, 2004
          61375 Posts
          Online
          Posted: June 9, 2007, 3:29 pm - IP Logged
          1149.5%056 407 209 245
          12614.3%057 093 417 435 237 291
          13614.3%067 085 409 256 238 247
          14511.9%095 437 491 257 293
          15614.3%087 096 456 267 285 249
          1649.5%097 457 493 295
          1749.5%467 485 287 296
          1837.1%567 495 297
          1924.8%496 298
          2024.8%857 497

          Infamous 12-15 sum

            Blackapple's avatar - nw rogue2.jpg
            Wyncote,Pa
            United States
            Member #3206
            January 3, 2004
            61375 Posts
            Online
            Posted: June 14, 2007, 9:06 am - IP Logged

            11    12  13   14  15  16  17  18    19  20
            056 156 067 167 186 187 386 567 856 857
            038 318 085 185 087 367 098 387 487 956
            416 057 418 356 096 385 467 918 496 938
            407 093 436 095 456 916 485 936 298 497
            218 417 409 437 438 097 287 495       
            236 435 256 491 267 457 296 297       
            209 237 238 257 285 493               
            245 291 247 293 249 295 

            The ones below drop frequently

               
            056  067  567  857
            085  087 
            057  096  467  496
            407 093  095 456  485  298 497
             417 409 437  097 287 495     
            435 256 491 267 457 296 297       
            209 237 238 257 285 493               
            245 291 247 293 249 295 

            *******************************

            ********************************

            DeFlate All-states Pick3 with

            above list "ones below drop frequently"

            • Results: 79

            Tier 3
            096(906,960) 256(265,652) 297(729,729)

            Tier 2
            567(675) 407(740) 485(584) 495(495) 267(267) 245(245) 249(924) 295(592)  689(869) 

            Tier 1
            056 067 857 085 087 057 467 496 093 095 456 298 497 417 409 437 097 287 435 491 457 296 209 237 238 257 285 493 291 247 293 531 210 757 702 733 221 261 669 196 071 253 771 880 137 013 599 404 334 396 050 683 937 357 007 033 035 166 032 051 800 983

            Input:
            056 067 567 857 085 087 057 096 467 496 407 093 095 456 485 298 497 417 409 437 097 287 495 435 256 491 267 457 296 297 209 237 238 257 285 493 245 291 247 293 249 295

             Yesterday's Pick 3 results

            below

             924 531 210 575 757 689 702 733 666 729 221 261 669 196 719 071 267 666 253 557 265 771 652 906 880 137 013 599 675 495 869 404 971 334 245 960 396 050 919 683 740 937 919 319 357 592 007 033 584 035 166 032 729 051 391 800 983

            Filters: No filtering selected

            12-15 hits from list

             

              Avatar
              Texas
              United States
              Member #1477
              May 7, 2003
              2311 Posts
              Offline
              Posted: June 14, 2007, 1:18 pm - IP Logged

              Something else I found interesting.....if you can eliminate all the high digits (6-7-8-9) what you have left will be primarily sets that Sum 0-10.  There was only 10 sets that didnt Sum 0-10 and of those only 1 set was 3 different digits.  All else were Doubles.