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# Binary Pick 3 Anyone?

Topic closed. 13 replies. Last post 10 years ago by Todd.

 Page 1 of 1
Findlay, Ohio
United States
Member #4855
May 28, 2004
400 Posts
Offline
 Posted: December 15, 2006, 12:43 am - IP Logged

As disclosed in my recent posts concerning the Matrix Completion Cycle and its Decomposition Rate by Half-Life, it's an established fact that very close to 500 different Pick 3 straights (+ or - 20 either way) will be drawn during any span of 693 consecutive games.  Because of this fact, each individual straight Pick 3 number can be given a 50% probability to be drawn within any given span of 693 consecutive games. Esentially, this 50/50 chance allows each combo's performance within a span to be recorded in binary format.  If a specific striaght is drawn, it's recorded with the digit "1". If the straight is not drawn, it's recorded with the digit "0".

The binary outcome strings below represent each straights performance over the course of 15 consecutive 693 game spans.  The state illustrated is Ohio.  The first span starts at game one (Ohio's very first Pick 3 drawing) and ends at game 10,395.  Each of the strings is 15 digts long, so each digit represents the span as well as the combos outcome.  There are 1,000 straights, each of which had 15 seperate 50% chances.  This gives us a total of 1,000 x 15 = 15,000 total digits in the overall outcome of the test. It is not at all surprising that the total count of 1's and 0's splits very close to 50/50.

Total "1's" = 7,441 at 49.61%
Total "0's" = 7,559 at 50.39%

I'll have more to add to this data this weekend....

000 011111011101011
001 011100111000011
002 110111011000011
003 011000100111100
004 010111001010000
005 101011010110101
006 101010111010000
007 010101100000010
008 001010001100111
009 111111100100100
010 101001100110110
011 011010000111000
012 100111010010011
013 110000010100101
014 101100110111011
015 001100011111101
016 100111010001110
017 101001111110011
018 110101100110000
019 000000110110010
020 000000000110100
021 001001100010010
022 011111001111011
023 110000000000000
024 100011100011011
025 001000010100011
026 010000001101111
027 010100111001010
028 101000110111101
029 011101101100111
030 000111110100100
031 011001110001110
032 010010000000100
033 100000001101110
034 100101010010011
035 100100100011110
036 111110101011111
037 100100010001100
038 000101001111001
039 011001111101011
040 100101000011110
041 100000010101011
042 000111001101000
043 000001110100000
044 110011010111010
045 000100111011110
046 111101000011101
047 011110001010011
048 011001001011011
049 010101000011111
050 111011010111110
051 010101011110100
052 100011100011100
053 101111101000000
054 101001001111010
055 001011010101100
056 111010001001110
057 011010100000001
058 001000010100111
059 001100011111110
060 101111001110111
061 101000111111111
062 110001111010110
063 001111111010110
064 010010111111000
065 011001011011111
066 111001111110100
067 110001000000010
068 010111100101110
069 011100100110010
070 111010001110111
071 000011110110101
072 001000110000000
073 101001010010010
074 000000101110001
075 000001110110000
076 010001001100001
077 011110001111001
078 010111000010101
079 010111000000110
080 100000100110000
081 110000111000001
082 011010101000011
083 110110110110110
084 001100100110011
085 001000000010100
086 110001110110100
087 000001000000011
088 100101111000011
089 111101101010011
090 101110110000000
091 000001110011001
092 000010001111011
093 011011000100010
094 100010001001100
095 100100000110110
096 001000011010000
097 010111001101011
098 101101001001100
099 111000001010001
100 011111000011000
101 001100110001001
102 000010000011001
103 010101100100000
104 000000001001011
105 111010001111001
106 110001101000011
107 101001110100111
108 100111011100100
109 101110111101101
110 110000001011111
111 100010011100011
112 000100001110111
113 011010101111000
114 101011000011010
115 101110110111011
116 011110001000001
117 100111011010101
118 011110001001100
119 110010110100101
120 011100101101101
121 011100100110100
122 011111101101011
123 101100110100000
124 100011010101101
125 001111011101101
126 001101011100101
127 001111000010110
128 001011101000101
129 000000111011001
130 110100111111101
131 100111111011011
132 000010011110001
133 000000111100110
134 101010001010011
135 110111010011001
136 000001101011010
137 110000100011010
138 000110100001101
139 001100010011011
140 011111100011110
141 010000111100001
142 101101101100010
143 000101000110011
144 111000011001111
145 111100101110100
146 101000111111001
147 011010111011010
148 101011111101010
149 011100111111100
150 010011001000101
151 001000000111010
152 101101001011110
153 111111111111100
154 110010000111000
155 111010000101111
156 100110000101100
157 000000000001111
158 110001011010010
159 110000100000100
160 010100101010010
161 110010000100010
162 011111000010010
163 111001100001110
164 100111110100100
165 010000100110011
166 010000101010011
167 110000011111100
168 001010111100110
169 100110101101001
170 000110111111010
171 101111011011100
172 100110100000010
173 111001010000000
174 000001111011111
175 011001001001011
176 111100010001111
177 111010110110100
178 010011110111010
179 100010000000000
180 000100010011101
181 101011110001000
182 111101101000101
183 001011010001010
184 101111000110110
185 101010011100011
186 011101101101011
187 111011011011011
188 111000100010100
189 011011001101000
190 110101000100010
191 011111000111000
192 101110101000111
193 000110111111111
194 000110001000101
195 001111001000101
196 010101011110101
197 001011100100010
198 011111000001100
199 000000100101011
200 010110110010100
201 011110100011000
202 101110100011101
203 110110010100001
204 101100101001010
205 100010101100101
206 110100111110110
207 111000001101100
208 100001110100101
209 011001100010110
210 101011000011000
211 000000110101101
212 001100110010101
213 100010001101000
214 111111111110101
215 111110100011111
216 110101010110000
217 101001110000001
218 000101011001110
219 110101000000011
220 000101011010011
221 101000111001101
222 000100111010111
223 011000000111000
224 010111111101011
225 010101110011100
226 001110000100101
227 010010101011011
228 001010010011001
229 110111001001010
230 000001101011000
231 101110101001110
232 010100001001011
233 111100010001000
234 101100010111010
235 010101001110011
236 001111111000011
237 001100000110011
238 000001101011000
239 110101110111111
240 110010101001100
241 000100011100010
242 001001111010101
243 101011011101010
244 100100000011111
245 111110110001111
246 101001111111111
247 011100110110111
248 110100100011011
249 101111010011000
250 110111010000011
251 111110000100110
252 001011100101001
253 100011111001011
254 001011111001101
255 110010001000100
256 101111001101110
257 110010101000001
258 100010110010011
259 100001000000100
260 011100011001011
261 111101110011001
262 100010110001110
263 110010110110100
264 000000110100000
265 010111001111011
266 010000001111110
267 010011000111100
268 111000101101101
269 010001001111011
270 100111010001110
271 101100110001100
272 000000001101010
273 110101100010100
274 100101110100000
275 111011000000010
276 010110101000111
277 001110100010100
278 010011101001010
279 101110000101001
280 100111101011001
281 010111111101111
282 001010101010000
283 000010100010100
284 001011000100101
285 110001001110100
286 010010111110000
287 111000000110110
288 000011001101111
289 001101101111011
290 100001010111110
291 001100110011100
292 000001101111101
293 101001111010110
294 101011100010100
295 110100000001111
296 111100110001001
297 010001011011101
298 110101111011010
299 100101100000001
300 101010101111111
301 001001001010000
302 011101110010111
303 001101100000010
304 100101011110010
305 000011001100010
306 001110100000010
307 110110011010100
308 110111001110011
309 111000110010000
310 111000111111011
311 111010111000001
312 000011111101110
313 000011010010111
314 011000110101000
315 111111010110111
316 010000110101000
317 110111110010110
318 011001011011110
319 100100101101001
320 111111110110001
321 011000101000000
322 101101010011110
323 110111100101001
324 011110001110111
325 000000110001011
326 001001100111101
327 010011001010110
328 000011110011000
329 110110100100000
330 000000101011111
331 100010100100111
332 011110111100000
333 000101000011111
334 000100100101011
335 010111011011101
336 010011110011111
337 011001001001101
338 100101111100000
339 101011000001000
340 101110000011100
341 011010100010000
342 000110101000111
343 000001110001100
344 010101001110000
345 001101111010011
346 000100011001010
347 110111110001111
348 110011111100100
349 101001001011011
350 110110011101100
351 100011010101111
352 100010000010010
353 001111011100110
354 110101010100010
355 010111111011100
356 011100010000101
357 010000001100110
358 101100101111011
359 011000001011110
360 011100101101100
361 110110001101001
362 001001010001111
363 010001001000111
364 101000011110010
365 010101101000100
366 111100110111010
367 000100100001001
368 001001100000010
369 100010010100010
370 111001001010000
371 010010010011001
372 010100110110011
373 001001011101010
374 100010100010101
375 101101100011000
376 001101101100100
377 101010001110001
378 010111110100101
379 000010101110011
380 100111000100100
381 011000011010011
382 100011110110101
383 011111101111011
384 001000101000010
385 010100011010010
386 011011011000110
387 101111111001001
388 110010001010011
389 001110101011000
390 101001001011011
391 000000011011000
392 110101000001111
393 010000010000111
394 100010000100000
395 100101010101110
396 101000111000000
397 010100000111011
398 111101110110000
399 010010011110110
400 011010110000100
401 011101111011110
402 011110110110010
403 111000010110011
404 011001110101000
405 100000010110110
406 010001011000011
407 110110011011101
408 110101100011100
409 010111001000100
410 011001011000100
411 011100010010110
412 011000101011000
413 110101101110001
414 000100110011011
415 100011011101111
416 000101110101110
417 000011110101000
418 101111110111011
419 001011010001000
420 010110010011001
421 010011100011100
422 011101010100011
423 000110001110001
424 011111100100011
425 000010000010001
426 000000111101010
427 000110111011011
428 000011001011111
429 001111000100111
430 010011011010110
431 011111000111010
432 101111000100111
433 000110100110100
434 011101110111110
435 110110000100100
436 011111100010000
437 001010111001110
438 101101101001011
439 011011001101011
440 101101010001100
441 000000010100100
442 111111011111111
443 110101110110000
444 001101001010100
445 010001011111000
446 101010011001111
447 110110110110100
448 110100001010000
449 010100001101100
450 111110101100111
451 000011011001000
452 011011101010010
453 010110110101111
454 100101010111111
455 000110110010000
456 011100011001101
457 010111001001011
458 110001101011111
459 111000011100100
460 111010111000011
461 010000000111001
462 110010011010011
463 010001010111010
464 010101111010000
465 110010100000010
466 010001110000100
467 010110000000111
468 100001010001000
469 010011011110010
470 011100000110011
471 110110011001010
472 100010111010001
473 000110010010110
474 000101010111011
475 000011010101001
476 111000111001001
477 101010101100010
478 010100010010011
479 010101010000111
480 010000001101110
481 010110011010110
482 011010101100110
483 101011010001111
484 001000001110100
485 101110001101111
486 101110100011000
487 010000011101001
488 000110001000100
489 111011110001000
490 101010100111011
491 010010000111011
492 110010110111010
493 000011110101101
494 111011100001001
495 000111101011000
496 001010000011110
497 100011111001100
498 011010010100111
499 011100100001000
500 111100110110010
501 011010101100110
502 100100110100000
503 101111010110100
504 110011011010110
505 001111011000111
506 001000111111000
507 110000010010101
508 011011000100011
509 101000100001001
510 000001101111100
511 100010010000101
512 011000011110100
513 100001001111111
514 101011010001100
515 010110001110111
516 100101000100011
517 001100100000011
518 010100010001001
519 110011110001100
520 101110111101101
521 101000101011000
522 110101011110001
523 010101100001100
524 101001100011001
525 000111111001001
526 001111001001000
527 110010001100010
528 011101100101100
529 110010011001011
530 101000000001011
531 001101111110100
532 000000000001111
533 110000100100011
534 010100000010010
535 010000100001100
536 011100000010000
537 101100110110100
538 001011010101010
539 111000011011001
540 110011111000110
541 110110010101000
542 111001111110011
543 010001111001001
544 111011110001100
545 011010100001100
546 010110101000001
547 111001011100010
548 010100011011000
549 100111101111110
550 000101111001001
551 101110000100100
552 011001010011010
553 110000001001000
554 100100101001101
555 011110000111100
556 111111100100010
557 111001010100011
558 010110001101001
559 110000001000010
560 000111001101010
561 111101101010011
562 011010011101011
563 010101101011111
564 010110000100010
565 101110111010111
566 001001010000110
567 101101000010001
568 110100000000011
569 011111001011110
570 110001010000011
571 010000111011011
572 011111010100100
573 100010101100000
574 111101110101011
575 011111111101100
576 111101010100000
577 000000111000000
578 110100110111111
579 011011101111010
580 111011111011111
581 010000101100100
582 011001111100001
583 101110101010111
584 001001110101111
585 010011111011001
586 001001010110010
587 111011111111100
588 011001000101100
589 110100101010001
590 011111110110011
591 011010100111101
592 010110101110111
593 011010101011110
594 101110110101101
595 111110110101000
596 100010110101001
597 110010010010101
598 100101010000100
599 011110111011101
600 010011001111101
601 101101011101101
602 101100100100111
603 110111100000001
604 011100010100010
605 001000000101000
606 010111100000101
607 110100011001100
608 111111010011110
609 000110100110001
610 001010000111111
611 101101001100110
612 011111100111011
613 111100101010101
614 001101001001010
615 000100101100111
616 101110110100110
617 110100010101110
618 100111011001101
619 101011000000101
620 100010100111110
621 110010101101100
622 011011011101000
623 111100111001011
624 011010000101001
625 010001100001001
626 101100110101000
627 000100011001010
628 101001010100001
629 101011000110001
630 000010011000000
631 100010001110001
632 011000100010101
633 100110000011011
634 010011010001010
635 100000011000100
636 011110111011100
637 001111101011000
638 010011110010011
639 010010100000001
640 101000110010100
641 011001010010101
642 001000000001111
643 111000101000110
644 111101101101001
645 111100111001000
646 100111000001001
647 110010001001001
648 010001111100010
649 111100001101011
650 100110100011111
651 111111110001110
652 011100000110100
653 001011011100001
654 111100011000100
655 110101100110110
656 011011111111011
657 100000001010010
658 000110011111000
659 001000110100010
660 001110011110111
661 010001001100101
662 010011100010010
663 010011111101011
664 010101010001101
665 000010111111011
666 001010000011001
667 011000010010010
668 100111011100101
669 111001111111100
670 001011010110101
671 010110110110110
672 100000011010100
673 011101110010111
674 111000001001110
675 010101110111100
676 001100010011110
677 000011111101111
678 000000000011111
679 101111110100001
680 110101111001010
681 011111001111100
682 111010100001101
683 101001010111011
684 111001000101001
685 011010010010111
686 010001011111110
687 110001011100110
688 100010001000100
689 111011011001010
690 011000100110010
691 100110001110010
692 001110110101100
693 110100100000010
694 011101111010000
695 111100010010000
696 100011111000001
697 111010110001111
698 000110111001100
699 111010011000100
700 000101101100111
701 110110001111000
702 010010010101000
703 100110001000001
704 001110101100001
705 110010101101011
706 101101111101010
707 110111111101110
708 000111110100111
709 101010111000011
710 100000100110000
711 110110111111110
712 110110111011110
713 110011100001010
714 101000001101001
715 110010011111110
716 101011011100100
717 101011011100011
718 000000100001001
719 100111011011010
720 010110000100011
721 000001101111100
722 101101001011001
723 010000010111010
724 001011000110100
725 011010110110011
726 110110111001110
727 101011000110111
728 011000000011010
729 110100101001100
730 110111011110010
731 011001000001001
732 111111011111100
733 101111010001011
734 100001111110001
735 010111110001110
736 101100110111001
737 110011111101101
738 100110011111010
739 001010010011010
740 000010010001010
741 110100100100110
742 101111101001010
743 110001101001010
744 011101100110101
745 000000101010010
746 111010110110111
747 001011111010000
748 110000111110011
749 100100111110000
750 110110110100101
751 111110010100001
752 001000110010010
753 000000010110101
754 011000001000110
755 111000011010100
756 011111101010110
757 001011111001010
758 110111010100000
759 001001100100101
760 110001010010001
761 010101110000000
762 010100110010110
763 010100110010010
764 011110101010111
765 111111101101101
766 110100110010000
767 100000111110010
768 001110011101110
769 100101010000011
770 010111011110101
771 011111000111100
772 010111100010010
773 001110010011100
774 101111100100111
775 000010100001110
776 110011110001100
777 110010001110000
778 100010110100000
779 011001010100001
780 100100110011111
781 001000110000011
782 000111001001110
783 101001010000100
784 000011000010110
785 100101100100001
786 101101110100111
787 111100101101100
788 001010110111010
789 111001011100001
790 100000110111010
791 011100100110111
792 110101101011100
793 100101011011100
794 000100101101110
795 000000001011001
796 011010101100001
797 101100011111100
798 111101011000111
799 101011010110001
800 111100010110111
801 011101011000111
802 100111001101111
803 100000010110100
804 111101100101101
805 110000010101110
806 000011100111100
807 110000001100010
808 011010011000011
809 011010101011100
810 101001101011011
811 001101100000100
812 011000110110001
813 000100001000110
814 010100100100000
815 111000001001110
816 010101111100000
817 110000000101001
818 110001111000010
819 011000110110010
820 001000100110010
821 011110011111011
822 001011100011001
823 010000100000101
824 011111010010010
825 110100000100100
826 101100111110011
827 001110001001111
828 101110100111000
829 001110000001001
830 010010111100101
831 100010101100110
832 111000101001110
833 101110111001100
834 011101100010000
835 011000001100010
836 101001000110011
837 010101110110011
838 101000100011100
839 000001011011010
840 111101111110000
841 111100001111000
842 001011100110110
843 000010000001011
844 101101010111011
845 100111000111011
846 011101011101110
847 000001001011010
848 110100000011110
849 101001110000001
850 111111000111000
851 011010001001011
852 011010010011011
853 101111110101011
854 100111000111010
855 010001011110101
856 000011001011101
857 100011111111001
858 101011101100010
859 000000101001110
860 000110111011111
861 011000110010110
862 111101111000111
863 100001100011010
864 001100110000001
865 110100000111101
866 111110001100111
867 110011100100110
868 001001101001101
869 110011101011101
870 111001101111110
871 110001001000101
872 101101000101001
873 010011010011100
874 000111110001101
875 011000010101011
876 100111110100001
877 011100111011011
878 001000111100001
879 101001010011101
880 110010001001000
881 110010000001100
882 010000100100001
883 011011001010111
884 110111000101111
885 011001100010101
886 011110100100110
887 111000101011111
888 001110100001101
889 100001000001101
890 011111111110101
891 101110111001011
892 101010000111111
893 101000001100010
894 110110001011110
895 100001100010100
896 101101001000011
897 010101000101111
898 010000101001010
899 010101101010101
900 101000101101000
901 011111001001110
902 000001100001110
903 000011011001111
904 011010111101011
905 110000101100101
906 010000000000101
907 000010101100100
908 110111100011001
909 111010011011111
910 101110001101101
911 101111000010111
912 110101110110100
913 011010110111000
914 111111011000001
915 110011011010011
916 110011010001110
917 100100000011101
918 101111000101010
919 001110000101110
920 110111001111100
921 010100111101100
922 110010110000111
923 001010011100011
924 111111000000101
925 001010000000101
926 011000110010110
927 010000110101011
928 000111001001000
929 000001010000011
930 000111011001010
931 010111101110100
932 011011100000101
933 101111100010110
934 000011111010101
935 000101000010100
936 100010111101000
937 001011111001100
938 001110000111000
939 010000011100111
940 001101000001111
941 101010010010010
942 000000110010000
943 001110010111001
944 101111010100000
945 010011011101101
946 001010010010011
947 000011011000100
948 011011000000101
949 011101110110110
950 011110011010100
951 111001101000011
952 011110111100001
953 100100100010010
954 001010010001110
955 011001101011011
956 110000010110100
957 010110110100001
958 000011111111001
959 101000101011101
960 100010111001110
961 001001000011111
962 100001111101100
963 000101011110110
964 010101010001110
965 111000010001000
966 111101000000001
967 110100100000100
968 000001001011010
969 101110001001111
970 111110100011011
971 010111010001000
972 110100010001011
973 000111001001100
974 101110001101010
975 000101001111000
976 111010110110111
977 011010101110111
978 111000110001100
979 110111110100010
980 000100001000000
981 011011010111101
982 111100111111100
983 110110001010111
984 001111010011010
985 001011111011011
986 100100001011111
987 001110101010000
988 111111000110101
989 110001001111000
990 010101011100000
991 100110100111100
992 000110100000111
993 001101110011101
994 010001010110111
995 010110001111000
996 011100011100000
997 000011011110111
998 001100010110011
999 000001000100100

~Probability=Odds in Motion~

The Quantum Master
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 Posted: December 15, 2006, 8:54 am - IP Logged

Great idea, however, you're one bit short of a Word.

Have you done it for a full Word?

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Jehocifer

Findlay, Ohio
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 Posted: December 15, 2006, 11:15 am - IP Logged

Great idea, however, you're one bit short of a Word.

Have you done it for a full Word?

Hmm... not sure what you mean.  Are you looking for a 16th bit, rather than 15?  If so, I'll use a state with 16 spans.

~Probability=Odds in Motion~

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 Posted: December 15, 2006, 11:41 am - IP Logged

Hmm... not sure what you mean.  Are you looking for a 16th bit, rather than 15?  If so, I'll use a state with 16 spans.

What Base is used for your Binary?

965 in Binary Base 2=1111000101

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

The Quantum Master
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 Posted: December 15, 2006, 4:23 pm - IP Logged

Hmm... not sure what you mean.  Are you looking for a 16th bit, rather than 15?  If so, I'll use a state with 16 spans.

1 - bit - one bit

1111 - nibble - four bits

11111111 - byte - eight bits

1111111111111111 - word - sixteen bits

it's computer jargon.

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Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

The Quantum Master
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 Posted: December 15, 2006, 5:33 pm - IP Logged

What Base is used for your Binary?

965 in Binary Base 2=1111000101

In this case, Thoth's binary sequence of bits do not equate to the decimal value of the bit sequence.

965
º 111000010001000 Thoth's bit sequence

965 ¹ 111000010001000 binary, base-2  or

965 ¹ 1111000101 binary, base-2 in this example.

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

Findlay, Ohio
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 Posted: December 16, 2006, 12:40 am - IP Logged

In this case, Thoth's binary sequence of bits do not equate to the decimal value of the bit sequence.

965
º 111000010001000 Thoth's bit sequence

965 ¹ 111000010001000 binary, base-2  or

965 ¹ 1111000101 binary, base-2 in this example.

965 is the number of the Pick 3 Permutation, the "111000010001000" is the binary outcome sequence code, of which there are 2^15 possibilities.

111000010001000 = converts to base ten as 28,808

1*2^14
1*2^13
1*2^12
0*2^11
0*2^10
0*2^9
0*2^8
1*2^7
0*2^6
0*2^5
0*2^4
1*2^3
0*2^2
0*2^1
+0*2^0
28,808

~Probability=Odds in Motion~

The Quantum Master
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 Posted: December 16, 2006, 4:03 am - IP Logged

965 is the number of the Pick 3 Permutation, the "111000010001000" is the binary outcome sequence code, of which there are 2^15 possibilities.

111000010001000 = converts to base ten as 28,808

1*2^14
1*2^13
1*2^12
0*2^11
0*2^10
0*2^9
0*2^8
1*2^7
0*2^6
0*2^5
0*2^4
1*2^3
0*2^2
0*2^1
+0*2^0
28,808

ok.

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Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
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Jehocifer

New Jersey
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 Posted: December 17, 2006, 8:13 am - IP Logged

What Base is used for your Binary?

965 in Binary Base 2=1111000101

210000000000
005210000000
421526310000
842684268421
-------------
001111000101

512+256+128+064+004+001=965

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

Findlay, Ohio
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 Posted: December 17, 2006, 7:10 pm - IP Logged

210000000000
005210000000
421526310000
842684268421
-------------
001111000101

512+256+128+064+004+001=965

I'm not sure what you mean Ravern?  Please explain

~Probability=Odds in Motion~

Chief Bottle Washer
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 Posted: December 17, 2006, 9:56 pm - IP Logged

Thoth,

This is a very interesting and unique way of looking at things, thanks for sharing it!

One the things I really like about it is that it uses the value of a huge history of drawing data effectively, and does so using the most basic principle of a "1" or a "0".  Great stuff!

Just so I can understand clearly, you are starting with the right-most digit in the binary sequence, and working your way left, correct?

If I have this correct, if the straight combo "0-0-0" was drawn anytime in the first 693 drawings (for Ohio) you are putting a "1" in the right-most position in the 000 row.  If not, you'll put a "0" in that position.  Then, if "0-0-0" was drawn between drawing #694 and #1386, you'll put a "1" in the next position to the left.  So in that case, if "0-0-0" was drawn in both time spans you'll have a total of 3, in base-10 terms (1 for the first digit to the right + 2 for the next digit to its left).

That is very cool indeed, but I'm not sure if converting that to base-10 is going to yield the most valuable data, because once you get to the 15th digit, as we have, that 15th digit is going to swing the results dramatically, depending on if it's a 1 or 0.

I suppose interpreting the data is the hardest part of any system, and this is no exception.  However, between yourself and the other math whizzes here, I'm sure there are a number of things you can come up with.

BTW Jade, I believe the 16th digit would be a "0" at this point, unless you can find a way to construe the data so that it always takes up 16 digits.  But if you do something to the data to fill it to 16 digits, then you're deviating from the original point, which was that you're specifically breaking down the drawing data, counting by 693, because that's the magic number for 50% odds of occurrence.

Is there something specific you can do with a word of binary data?

Thoth (and everyone else), please do continue this fascinating topic.

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Findlay, Ohio
United States
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May 28, 2004
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 Posted: December 18, 2006, 9:09 pm - IP Logged

Thoth,

This is a very interesting and unique way of looking at things, thanks for sharing it!

One the things I really like about it is that it uses the value of a huge history of drawing data effectively, and does so using the most basic principle of a "1" or a "0".  Great stuff!

Just so I can understand clearly, you are starting with the right-most digit in the binary sequence, and working your way left, correct?

If I have this correct, if the straight combo "0-0-0" was drawn anytime in the first 693 drawings (for Ohio) you are putting a "1" in the right-most position in the 000 row.  If not, you'll put a "0" in that position.  Then, if "0-0-0" was drawn between drawing #694 and #1386, you'll put a "1" in the next position to the left.  So in that case, if "0-0-0" was drawn in both time spans you'll have a total of 3, in base-10 terms (1 for the first digit to the right + 2 for the next digit to its left).

That is very cool indeed, but I'm not sure if converting that to base-10 is going to yield the most valuable data, because once you get to the 15th digit, as we have, that 15th digit is going to swing the results dramatically, depending on if it's a 1 or 0.

I suppose interpreting the data is the hardest part of any system, and this is no exception.  However, between yourself and the other math whizzes here, I'm sure there are a number of things you can come up with.

BTW Jade, I believe the 16th digit would be a "0" at this point, unless you can find a way to construe the data so that it always takes up 16 digits.  But if you do something to the data to fill it to 16 digits, then you're deviating from the original point, which was that you're specifically breaking down the drawing data, counting by 693, because that's the magic number for 50% odds of occurrence.

Is there something specific you can do with a word of binary data?

Thoth (and everyone else), please do continue this fascinating topic.

You are exactly right Todd...except I think I overlooked one important aspect of binary numbers.  If they are supposed to be built and/or read from right to left then all my outcome sequences need flipped horizontally.  The left-most digit in the sequence is the outcome of the 1st span of 693 games and the right most the 15th.  Hmm...I may have gotten in a little over my head with this idea lol.

The 16th digit would all be zeros until the combo hits (if it hits).  One interesting thing to watch is the way the digits "appear" as more runs are added:

050 111011010111110
051 010101011110100
052 100011100011100
053 101111101000000
054 101001001111010
055 001011010101100
056 111010001001110

The 15th span for each of the seven combos listed above are all zeros.  You can expect half (3 or 4) of them to be followed by "ones" when span #16 is added.  You can project winning numbers from small groups of numbers this way....very accurately.  However, getting a profit from them is a whole different story.

~Probability=Odds in Motion~

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 Posted: December 18, 2006, 11:44 pm - IP Logged

I'm not sure what you mean Ravern?  Please explain

Quote: Originally posted by Raven62 on December 17, 2006

210000000000
005210000000
421526310000
842684268421
-------------
001111000101

512+256+128+064+004+001=965

Binary and hexadecimal numbers are two alternatives to the traditional decimal numbers we use in daily life. Engineers and mathematicans sometimes call the binary numbering system a base-two system because binary numbers only contain two digits. By comparison, our normal decimal number system is a base-ten system. All binary numbers have equivalent decimal representations and vice versa.

To convert binary and decimal numbers manually, you must apply the mathematical concept of positional values. The positional value concept is simple: With both binary and decimal numbers, the actual value of each digit depends on its position (how "far to the left") within the number.

For example, in the decimal number 124, the digit '4' represents the value "four," but the digit '2' represents the value "twenty," not "two." The '2' represents a larger value than the '4' in this case because it lies further to the left in the number.

Likewise in the binary number 1111011, the rightmost '1' represents the value "one," but the leftmost '1' represents a much higher value ("sixty-four" in this case).

In mathematics, the base of the numbering system determines how much to value digits by position. For base-ten decimal numbers, multiply each digit on the left by a progressive factor of 10 to calculate its value. For base-two binary numbers, multiply each digit on the left by a progressive factor of 2. Calculations always work from right to left.

In the above example, the decimal number 123 works out to:

3 + (10 * 2) + (10*10 * 1) = 123

and the binary number 1111011 converts to decimal as:

1 + (2 * 1) + (2*2 * 0) + (4*2 * 1) + (8*2 * 1)+ (16*2 * 1) + (32*2 * 1) = 123

Therefore, the binary number 1111011 is equal to the decimal number 123.

To convert numbers in the opposite direction, from decimal to binary, requires successive division rather than progressive multiplication. To manually convert from a decimal to a binary number, start with the decimal number and begin dividing by the binary number base (base "two"). For each step the division results in a remainder of 1, use '1' in that position of the binary number. When the division results in a remainder of 0 instead, use '0' in that position. Stop when the division results in a value of 0. The resulting binary numbers are ordered from right to left.

For example, the decimal number 109 converts to binary as follows:

109 / 2 = 54 remainder 1
54 / 2 = 27 remainder 0
27 / 2 = 13 remainder 1
13 / 2 = 6 remainder 1
6 / 2 = 3 remainder 0
3 / 2 = 1 remainder 1
1 / 2 = 0 remainder 1

Therefore the decimal number 109 equals the binary number 1101101.

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

Chief Bottle Washer
New Jersey
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 Posted: December 19, 2006, 7:55 am - IP Logged

You might want to keep it like it was before, because it gives the most value to recent drawings, but that's your call -- it's your system!

The way binary works is that you start with the right-most digit, which is 0 or 1.  Then, as you move to the left, the value is doubled, so a zero is still worth 0, but a 1 is worth 2.  The next digit to the left you double again, so it's worth 0 or 4, and so on.

Therefore, the sequence 011100100010111 would be (reading from right-to-left):

1 + 2 + 4 + 0 + 16 + 0 + 0 + 0 + 256 + 0 + 0 + 2048 + 4096 + 8192 + 16384 + 0 = 30999

See how a 1 or 0 in the left-most digits can make such a big difference?  Because once you're that far left, the digits are worth a lot more.  That's why I think the answer may not be conversion to base 10.  Maybe the answer is looking at the patterns and going with a probability based on the patterns, or something like that.  There are certainly a thousand different solutions.

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