彩票概率计算题

醉月听花

随机设备产生20个随机数字
20个数字范围限定1•••••••80
求这20个数字之和的概率分布


他们的和值范围在210•••••809的概率是否等于范围在811••••1410的概率？
这个概率值是多少？

醉月听花

随机产生的都是整数

mathtime

20 0%
  21 0%
  22 0%
  23 0%
  24 0%
  25 0%
  26 0%
  27 0%
  28 0%
  29 0%
  30 0%
  31 0%
  32 0%
  33 0%
  34 0%
  35 0%
  36 0%
  37 0%
  38 0%
  39 0%
  40 0%
  41 0%
  42 0%
  43 0%
  44 0%
  45 0%
  46 0%
  47 0%
  48 0%
  49 0%
  50 0%
  51 0%
  52 0%
  53 0%
  54 0%
  55 0%
  56 0%
  57 0%
  58 0%
  59 0%
  60 0%
  61 0%
  62 0%
  63 0%
  64 0%
  65 0%
  66 0%
  67 0%
  68 0%
  69 0%
  70 0%
  71 0%
  72 0%
  73 0%
  74 0%
  75 0%
  76 0%
  77 0%
  78 0%
  79 0%
  80 0%
  81 0%
  82 0%
  83 0%
  84 0%
  85 0%
  86 0%
  87 0%
  88 0%
  89 0%
  90 0%
  91 0%
  92 0%
  93 0%
  94 0%
  95 0%
  96 0%
  97 0%
  98 0%
  99 0%
100 0%
101 0%
102 0%
103 0%
104 0%
105 0%
106 0%
107 0%
108 0%
109 0%
110 0%
111 0%
112 0%
113 0%
114 0%
115 0%
116 0%
117 0%
118 0%
119 0%
120 0%
121 0%
122 0%
123 0%
124 0%
125 0%
126 0%
127 0%
128 0%
129 0%
130 0%
131 0%
132 0%
133 0%
134 0%
135 0%
136 0%
137 0%
138 0%
139 0%
140 0%
141 0%
142 0%
143 0%
144 0%
145 0%
146 0%
147 0%
148 0%
149 0%
150 0%
151 0%
152 0%
153 0%
154 0%
155 0%
156 0%
157 0%
158 0%
159 0%
160 0%
161 0%
162 0%
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164 0%
165 0%
166 0%
167 0%
168 0%
169 0%
170 0%
171 0%
172 0%
173 0%
174 0%
175 0%
176 0%
177 0%
178 0%
179 0%
180 0%
181 0%
182 0%
183 0%
184 0%
185 0%
186 0%
187 0%
188 0%
189 0%
190 .0000000001%
191 .0000000001%
192 .0000000001%
193 .0000000001%
194 .0000000001%
195 .0000000001%
196 .0000000001%
197 .0000000001%
198 .0000000001%
199 .0000000001%
200 .0000000001%
201 .0000000002%
202 .0000000002%
203 .0000000002%
204 .0000000002%
205 .0000000002%
206 .0000000003%
207 .0000000003%
208 .0000000003%
209 .0000000003%
210 .0000000004%
211 .0000000004%
212 .0000000004%
213 .0000000005%
214 .0000000005%
215 .0000000006%
216 .0000000006%
217 .0000000007%
218 .0000000008%
219 .0000000009%
220 .0000000009%
221 .000000001%
222 .0000000011%
223 .0000000012%
224 .0000000013%
225 .0000000015%
226 .0000000016%
227 .0000000017%
228 .0000000019%
229 .0000000021%
230 .0000000023%
231 .0000000025%
232 .0000000027%
233 .0000000029%
234 .0000000032%
235 .0000000035%
236 .0000000038%
237 .0000000041%
238 .0000000045%
239 .0000000048%
240 .0000000053%
241 .0000000057%
242 .0000000062%
243 .0000000067%
244 .0000000073%
245 .0000000079%
246 .0000000086%
247 .0000000093%
248 .0000000101%
249 .0000000109%
250 .0000000118%
251 .0000000127%
252 .0000000138%
253 .0000000149%
254 .0000000161%
255 .0000000174%
256 .0000000188%
257 .0000000203%
258 .0000000219%
259 .0000000236%
260 .0000000255%
261 .0000000275%
262 .0000000296%
263 .0000000319%
264 .0000000344%
265 .000000037%
266 .0000000399%
267 .0000000429%
268 .0000000462%
269 .0000000497%
270 .0000000534%
271 .0000000574%
272 .0000000617%
273 .0000000663%
274 .0000000712%
275 .0000000765%
276 .0000000821%
277 .0000000881%
278 .0000000945%
279 .0000001014%
280 .0000001087%
281 .0000001165%
282 .0000001249%
283 .0000001338%
284 .0000001433%
285 .0000001535%
286 .0000001643%
287 .0000001758%
288 .0000001881%
289 .0000002012%
290 .0000002152%
291 .0000002301%
292 .0000002459%
293 .0000002627%
294 .0000002807%
295 .0000002998%
296 .0000003201%
297 .0000003417%
298 .0000003646%
299 .000000389%
300 .000000415%
301 .0000004425%
302 .0000004718%
303 .0000005029%
304 .0000005359%
305 .0000005709%
306 .0000006081%
307 .0000006475%
308 .0000006893%
309 .0000007337%
310 .0000007807%
311 .0000008306%
312 .0000008834%
313 .0000009394%
314 .0000009987%
315 .0000010615%
316 .000001128%
317 .0000011984%
318 .0000012729%
319 .0000013517%
320 .0000014351%
321 .0000015232%
322 .0000016165%
323 .0000017151%
324 .0000018193%
325 .0000019294%
326 .0000020457%
327 .0000021686%
328 .0000022984%
329 .0000024354%
330 .0000025801%
331 .0000027327%
332 .0000028938%
333 .0000030638%
334 .000003243%
335 .000003432%
336 .0000036313%
337 .0000038414%
338 .0000040628%
339 .0000042961%
340 .0000045419%
341 .0000048008%
342 .0000050734%
343 .0000053604%
344 .0000056626%
345 .0000059806%
346 .0000063152%
347 .0000066672%
348 .0000070375%
349 .0000074269%
350 .0000078363%
351 .0000082668%
352 .0000087192%
353 .0000091945%
354 .000009694%
355 .0000102187%
356 .0000107697%
357 .0000113484%
358 .0000119558%
359 .0000125935%
360 .0000132627%
361 .0000139649%
362 .0000147016%
363 .0000154743%
364 .0000162846%
365 .0000171343%
366 .0000180251%
367 .0000189587%
368 .0000199372%
369 .0000209624%
370 .0000220363%
371 .0000231612%
372 .0000243393%
373 .0000255727%
374 .000026864%
375 .0000282155%
376 .0000296299%
377 .0000311098%
378 .0000326579%
379 .0000342773%
380 .0000359707%
381 .0000377414%
382 .0000395925%
383 .0000415274%
384 .0000435495%
385 .0000456623%
386 .0000478697%
387 .0000501754%
388 .0000525834%
389 .0000550978%
390 .000057723%
391 .0000604632%
392 .0000633232%
393 .0000663076%
394 .0000694214%
395 .0000726696%
396 .0000760575%
397 .0000795906%
398 .0000832743%
399 .0000871147%
400 .0000911175%
401 .0000952892%
402 .0000996361%
403 .0001041649%
404 .0001088823%
405 .0001137956%
406 .0001189119%
407 .000124239%
408 .0001297845%
409 .0001355566%
410 .0001415635%
411 .0001478139%
412 .0001543167%
413 .0001610808%
414 .0001681159%
415 .0001754315%
416 .0001830378%
417 .0001909451%
418 .000199164%
419 .0002077055%
420 .0002165809%
421 .0002258019%
422 .0002353806%
423 .0002453292%
424 .0002556606%
425 .0002663878%
426 .0002775243%
427 .0002890841%
428 .0003010815%
429 .0003135311%
430 .0003264482%
431 .0003398483%
432 .0003537473%
433 .0003681619%
434 .0003831089%
435 .0003986057%
436 .0004146702%
437 .0004313208%
438 .0004485764%
439 .0004664564%
440 .0004849806%
441 .0005041696%
442 .0005240444%
443 .0005446265%
444 .000565938%
445 .0005880017%
446 .0006108408%
447 .0006344793%
448 .0006589417%
449 .000684253%
450 .0007104392%
451 .0007375265%
452 .0007655422%
453 .0007945139%
454 .00082447%
455 .0008554398%
456 .0008874531%
457 .0009205404%
458 .000954733%
459 .0009900629%
460 .001026563%
461 .0010642668%
462 .0011032087%
463 .0011434238%
464 .0011849479%
465 .001227818%
466 .0012720715%
467 .001317747%
468 .0013648836%
469 .0014135215%
470 .0014637018%
471 .0015154663%
472 .0015688579%
473 .0016239203%
474 .0016806981%
475 .001739237%
476 .0017995835%
477 .0018617851%
478 .0019258901%
479 .0019919482%
480 .0020600098%
481 .0021301262%
482 .00220235%
483 .0022767346%
484 .0023533346%
485 .0024322056%
486 .0025134041%
487 .0025969879%
488 .0026830158%
489 .0027715476%
490 .0028626442%
491 .0029563678%
492 .0030527814%
493 .0031519495%
494 .0032539373%
495 .0033588115%
496 .0034666398%
497 .0035774909%
498 .003691435%
499 .0038085432%
500 .0039288877%
501 .0040525422%
502 .0041795813%
503 .0043100809%
504 .004444118%
505 .004581771%
506 .0047231192%
507 .0048682433%
508 .0050172252%
509 .005170148%
510 .0053270957%
511 .0054881541%
512 .0056534096%
513 .0058229501%
514 .0059968648%
515 .0061752439%
516 .0063581789%
517 .0065457624%
518 .0067380883%
519 .0069352516%
520 .0071373486%
521 .0073444766%
522 .0075567343%
523 .0077742214%
524 .0079970387%
525 .0082252884%
526 .0084590736%
527 .0086984986%
528 .0089436688%
529 .0091946908%
530 .0094516722%
531 .0097147217%
532 .0099839492%
533 .0102594653%
534 .010541382%
535 .0108298121%
536 .0111248695%
537 .0114266692%
538 .0117353268%
539 .0120509592%
540 .012373684%
541 .0127036199%
542 .0130408862%
543 .0133856033%
544 .0137378924%
545 .0140978753%
546 .0144656747%
547 .0148414142%
548 .0152252178%
549 .0156172104%
550 .0160175176%
551 .0164262653%
552 .0168435804%
553 .0172695901%
554 .0177044221%
555 .0181482048%
556 .0186010667%
557 .0190631372%
558 .0195345455%
559 .0200154215%
560 .0205058953%
561 .0210060971%
562 .0215161576%
563 .0220362074%
564 .0225663772%
565 .0231067979%
566 .0236576003%
567 .0242189152%
568 .0247908734%
569 .0253736054%
570 .0259672415%
571 .026571912%
572 .0271877467%
573 .027814875%
574 .028453426%
575 .0291035284%
576 .0297653101%
577 .0304388988%
578 .0311244212%
579 .0318220035%
580 .0325317711%
581 .0332538485%
582 .0339883593%
583 .0347354264%
584 .0354951712%
585 .0362677145%
586 .0370531757%
587 .0378516729%
588 .038663323%
589 .0394882417%
590 .040326543%
591 .0411783396%
592 .0420437424%
593 .0429228609%
594 .0438158028%
595 .044722674%
596 .0456435785%
597 .0465786183%
598 .0475278937%
599 .0484915025%
600 .0494695405%
601 .0504621015%
602 .0514692767%
603 .0524911548%
604 .0535278225%
605 .0545793635%
606 .0556458592%
607 .056727388%
608 .0578240257%
609 .0589358454%
610 .0600629169%
611 .0612053073%
612 .0623630804%
613 .0635362971%
614 .0647250147%
615 .0659292875%
616 .0671491663%
617 .0683846984%
618 .0696359275%
619 .0709028938%
620 .0721856337%
621 .0734841799%
622 .0747985611%
623 .0761288024%
624 .0774749245%
625 .0788369443%
626 .0802148745%
627 .0816087236%
628 .0830184956%
629 .0844441905%
630 .0858858036%
631 .0873433258%
632 .0888167435%
633 .0903060385%
634 .0918111876%
635 .0933321632%
636 .0948689328%
637 .0964214589%
638 .0979896992%
639 .0995736062%
640 .1011731277%
641 .102788206%
642 .1044187785%
643 .1060647772%
644 .107726129%
645 .1094027553%
646 .1110945723%
647 .1128014907%
648 .1145234158%
649 .1162602473%
650 .1180118794%
651 .1197782007%
652 .1215590943%
653 .1233544376%
654 .1251641021%
655 .1269879539%
656 .1288258532%
657 .1306776543%
658 .1325432061%
659 .1344223512%
660 .1363149267%
661 .1382207637%
662 .1401396876%
663 .1420715176%
664 .1440160674%
665 .1459731445%
666 .1479425506%
667 .1499240815%
668 .1519175272%
669 .1539226716%
670 .1559392929%
671 .1579671632%
672 .160006049%
673 .1620557107%
674 .164115903%
675 .1661863747%
676 .1682668688%
677 .1703571226%
678 .1724568676%
679 .1745658295%
680 .1766837286%
681 .1788102791%
682 .1809451901%
683 .1830881649%
684 .1852389011%
685 .1873970911%
686 .1895624218%
687 .1917345747%
688 .1939132261%
689 .1960980469%
690 .1982887031%
691 .2004848552%
692 .2026861589%
693 .2048922648%
694 .2071028189%
695 .209317462%
696 .2115358303%
697 .2137575555%
698 .2159822646%
699 .21820958%
700 .2204391199%
701 .2226704981%
702 .2249033244%
703 .2271372043%
704 .2293717394%
705 .2316065274%
706 .2338411622%
707 .236075234%
708 .2383083297%
709 .2405400325%
710 .2427699224%
711 .2449975762%
712 .2472225676%
713 .2494444674%
714 .2516628437%
715 .2538772616%
716 .256087284%
717 .2582924713%
718 .2604923814%
719 .2626865705%
720 .2648745923%
721 .2670559991%
722 .2692303413%
723 .2713971677%
724 .2735560258%
725 .2757064617%
726 .2778480207%
727 .2799802469%
728 .2821026836%
729 .2842148736%
730 .2863163592%
731 .2884066823%
732 .2904853847%
733 .2925520083%
734 .294606095%
735 .2966471872%
736 .2986748276%
737 .3006885598%
738 .3026879281%
739 .3046724778%
740 .3066417555%
741 .3085953089%
742 .3105326875%
743 .3124534422%
744 .3143571259%
745 .3162432935%
746 .318111502%
747 .319961311%
748 .3217922822%
749 .3236039804%
750 .3253959731%
751 .3271678308%
752 .3289191272%
753 .3306494394%
754 .332358348%
755 .3340454374%
756 .3357102958%
757 .3373525153%
758 .3389716924%
759 .3405674278%
760 .3421393268%
761 .3436869994%
762 .3452100603%
763 .3467081292%
764 .3481808311%
765 .3496277963%
766 .3510486603%
767 .3524430643%
768 .3538106555%
769 .3551510867%
770 .3564640167%
771 .3577491108%
772 .3590060404%
773 .3602344833%
774 .361434124%
775 .3626046537%
776 .3637457705%
777 .3648571794%
778 .3659385925%
779 .3669897292%
780 .3680103162%
781 .3690000876%
782 .3699587853%
783 .3708861587%
784 .371781965%
785 .3726459693%
786 .3734779448%
787 .3742776726%
788 .3750449422%
789 .3757795513%

mathtime

790 .3764813059%
791 .3771500206%
792 .3777855183%
793 .3783876308%
794 .3789561983%
795 .3794910699%
796 .3799921035%
797 .3804591659%
798 .3808921328%
799 .3812908888%
800 .3816553278%
801 .3819853524%
802 .3822808747%
803 .3825418158%
804 .382768106%
805 .3829596847%
806 .3831165009%
807 .3832385125%
808 .383325687%
809 .383378001%
810 .3833954406%
811 .383378001%
812 .383325687%
813 .3832385125%
814 .3831165009%
815 .3829596847%
816 .382768106%
817 .3825418158%
818 .3822808747%
819 .3819853524%
820 .3816553278%
821 .3812908888%
822 .3808921328%
823 .3804591659%
824 .3799921035%
825 .3794910699%
826 .3789561983%
827 .3783876308%
828 .3777855183%
829 .3771500206%
830 .3764813059%
831 .3757795513%
832 .3750449422%
833 .3742776726%
834 .3734779448%
835 .3726459693%
836 .371781965%
837 .3708861587%
838 .3699587853%
839 .3690000876%
840 .3680103162%
841 .3669897292%
842 .3659385925%
843 .3648571794%
844 .3637457705%
845 .3626046537%
846 .361434124%
847 .3602344833%
848 .3590060404%
849 .3577491108%
850 .3564640167%
851 .3551510867%
852 .3538106555%
853 .3524430643%
854 .3510486603%
855 .3496277963%
856 .3481808311%
857 .3467081292%
858 .3452100603%
859 .3436869994%
860 .3421393268%
861 .3405674278%
862 .3389716924%
863 .3373525153%
864 .3357102958%
865 .3340454374%
866 .332358348%
867 .3306494394%
868 .3289191272%
869 .3271678308%
870 .3253959731%
871 .3236039804%
872 .3217922822%
873 .319961311%
874 .318111502%
875 .3162432935%
876 .3143571259%
877 .3124534422%
878 .3105326875%
879 .3085953089%
880 .3066417555%
881 .3046724778%
882 .3026879281%
883 .3006885598%
884 .2986748276%
885 .2966471872%
886 .294606095%
887 .2925520083%
888 .2904853847%
889 .2884066823%
890 .2863163592%
891 .2842148736%
892 .2821026836%
893 .2799802469%
894 .2778480207%
895 .2757064617%
896 .2735560258%
897 .2713971677%
898 .2692303413%
899 .2670559991%
900 .2648745923%
901 .2626865705%
902 .2604923814%
903 .2582924713%
904 .256087284%
905 .2538772616%
906 .2516628437%
907 .2494444674%
908 .2472225676%
909 .2449975762%
910 .2427699224%
911 .2405400325%
912 .2383083297%
913 .236075234%
914 .2338411622%
915 .2316065274%
916 .2293717394%
917 .2271372043%
918 .2249033244%
919 .2226704981%
920 .2204391199%
921 .21820958%
922 .2159822646%
923 .2137575555%
924 .2115358303%
925 .209317462%
926 .2071028189%
927 .2048922648%
928 .2026861589%
929 .2004848552%
930 .1982887031%
931 .1960980469%
932 .1939132261%
933 .1917345747%
934 .1895624218%
935 .1873970911%
936 .1852389011%
937 .1830881649%
938 .1809451901%
939 .1788102791%
940 .1766837286%
941 .1745658295%
942 .1724568676%
943 .1703571226%
944 .1682668688%
945 .1661863747%
946 .164115903%
947 .1620557107%
948 .160006049%
949 .1579671632%
950 .1559392929%
951 .1539226716%
952 .1519175272%
953 .1499240815%
954 .1479425506%
955 .1459731445%
956 .1440160674%
957 .1420715176%
958 .1401396876%
959 .1382207637%
960 .1363149267%
961 .1344223512%
962 .1325432061%
963 .1306776543%
964 .1288258532%
965 .1269879539%
966 .1251641021%
967 .1233544376%
968 .1215590943%
969 .1197782007%
970 .1180118794%
971 .1162602473%
972 .1145234158%
973 .1128014907%
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mathtime

本来想暴力计算得出精确值,但计算时间不容许计算精度也不允许。
只好采用近似计算，所以和为20等的概率（1/80^20）表示不出只好写0

mathtime

D:\fhm\studio\算概率分布\20个80概率分布.bmp

mathtime

请问如何输入图片？我想放分布图

mathtime

他们的和值范围在210至809的概率为  49.8083022762%
他们的和值范围在811至1410的概率为  49.8083022762%
两者概率相等。
另外不能插入图片，整个和值的概率分布有点象正态分布，挺好看。

醉月听花

他们的和值范围在210至809的概率为  49.8083022762%
他们的和值范围在811至1410的概率为  49.8083022762%
两者概率相等。
另外不能插入图片，整个和值的概率分布有点象正态分布，挺好看。
mathtime 发表于 2013-3-19 09:58

添加附件就可以插入图片了，谢谢啦

mathtime

报"图片格式错",
图片小于500K