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# Interesting facts about Sums 21-27 and digit 9

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

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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
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

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!

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

Wyncote,Pa
United States
Member #3206
January 3, 2004
61375 Posts
Online
 Posted: June 9, 2007, 3:29 pm - IP Logged
 11 4 9.5% 056 407 209 245 12 6 14.3% 057 093 417 435 237 291 13 6 14.3% 067 085 409 256 238 247 14 5 11.9% 095 437 491 257 293 15 6 14.3% 087 096 456 267 285 249 16 4 9.5% 097 457 493 295 17 4 9.5% 467 485 287 296 18 3 7.1% 567 495 297 19 2 4.8% 496 298 20 2 4.8% 857 497

Infamous 12-15 sum

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

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.

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