The following table gives the statistics for all possible results from a run of 1024 random bits. Please refer to the probability and statistics page for the mathematical details underlying this table. Fields in the table are as follows:
In order to speed up downloading, this table contains only probabilities for runs with between 405 and 619 one bits. This covers the centre of the bell curve and includes all results expected to occur by chance in fewer than 100 thousand million runs. You can view a complete table which includes probabilities for all possible runs, but the file is large (150K) and takes quite a while to download and display. The odds against a run of 1024 bits not appearing in the range covered by the abridged table are more than 64,000 million to one.
One Bits | Probability | Cumulative Probability | Frequency in Runs |
---|---|---|---|
405 | 4.19777 × 10-12 | 1.19404 × 10-11 | 83749281426 |
406 | 6.40005 × 10-12 | 1.83404 × 10-11 | 54524292271 |
407 | 9.71801 × 10-12 | 2.80585 × 10-11 | 35639877297 |
408 | 1.46961 × 10-11 | 4.27546 × 10-11 | 23389315392 |
409 | 2.2134 × 10-11 | 6.48886 × 10-11 | 15411038332 |
410 | 3.3201 × 10-11 | 9.80895 × 10-11 | 10194767051 |
411 | 4.95995 × 10-11 | 1.47689 × 10-10 | 6770982074 |
412 | 7.37974 × 10-11 | 2.21486 × 10-10 | 4514949621 |
413 | 1.09356 × 10-10 | 3.30842 × 10-10 | 3022588158 |
414 | 1.61392 × 10-10 | 4.92235 × 10-10 | 2031551342 |
415 | 2.37227 × 10-10 | 7.29462 × 10-10 | 1370873305 |
416 | 3.47287 × 10-10 | 1.07675 × 10-9 | 928721412 |
417 | 5.06356 × 10-10 | 1.58311 × 10-9 | 631669850 |
418 | 7.35307 × 10-10 | 2.31841 × 10-9 | 431329649 |
419 | 1.06347 × 10-9 | 3.38189 × 10-9 | 295692882 |
420 | 1.53191 × 10-9 | 4.9138 × 10-9 | 203508587 |
421 | 2.1978 × 10-9 | 7.1116 × 10-9 | 140615380 |
422 | 3.14046 × 10-9 | 1.02521 × 10-8 | 97541411 |
423 | 4.4694 × 10-9 | 1.47215 × 10-8 | 67928067 |
424 | 6.33516 × 10-9 | 2.10566 × 10-8 | 47491007 |
425 | 8.94376 × 10-9 | 3.00004 × 10-8 | 33332914 |
426 | 1.25758 × 10-8 | 4.25762 × 10-8 | 23487286 |
427 | 1.76121 × 10-8 | 6.01883 × 10-8 | 16614523 |
428 | 2.45664 × 10-8 | 8.47547 × 10-8 | 11798757 |
429 | 3.41295 × 10-8 | 1.18884 × 10-7 | 8411546 |
430 | 4.72257 × 10-8 | 1.6611 × 10-7 | 6020109 |
431 | 6.5086 × 10-8 | 2.31196 × 10-7 | 4325334 |
432 | 8.93426 × 10-8 | 3.20539 × 10-7 | 3119748 |
433 | 1.2215 × 10-7 | 4.42688 × 10-7 | 2258925 |
434 | 1.66338 × 10-7 | 6.09026 × 10-7 | 1641966 |
435 | 2.25607 × 10-7 | 8.34633 × 10-7 | 1198131 |
436 | 3.04777 × 10-7 | 1.13941 × 10-6 | 877647 |
437 | 4.10089 × 10-7 | 1.5495 × 10-6 | 645370 |
438 | 5.49594 × 10-7 | 2.09909 × 10-6 | 476396 |
439 | 7.33626 × 10-7 | 2.83272 × 10-6 | 353017 |
440 | 9.75389 × 10-7 | 3.80811 × 10-6 | 262597 |
441 | 1.29167 × 10-6 | 5.09978 × 10-6 | 196086 |
442 | 1.70372 × 10-6 | 6.8035 × 10-6 | 146983 |
443 | 2.2383 × 10-6 | 9.0418 × 10-6 | 110597 |
444 | 2.92894 × 10-6 | 1.19707 × 10-5 | 83536 |
445 | 3.8175 × 10-6 | 1.57882 × 10-5 | 63338 |
446 | 4.9559 × 10-6 | 2.07441 × 10-5 | 48206 |
447 | 6.4083 × 10-6 | 2.71524 × 10-5 | 36829 |
448 | 8.25355 × 10-6 | 3.5406 × 10-5 | 28243 |
449 | 1.05881 × 10-5 | 4.59941 × 10-5 | 21741 |
450 | 1.35292 × 10-5 | 5.95233 × 10-5 | 16800 |
451 | 1.7219 × 10-5 | 7.67423 × 10-5 | 13030 |
452 | 2.18285 × 10-5 | 9.85708 × 10-5 | 10144 |
453 | 2.75627 × 10-5 | 0.000126133 | 7928 |
454 | 3.46659 × 10-5 | 0.000160799 | 6218 |
455 | 4.34276 × 10-5 | 0.000204227 | 4896 |
456 | 5.41892 × 10-5 | 0.000258416 | 3869 |
457 | 6.73511 × 10-5 | 0.000325767 | 3069 |
458 | 8.33801 × 10-5 | 0.000409147 | 2444 |
459 | 0.000102817 | 0.000511965 | 1953 |
460 | 0.000126286 | 0.000638251 | 1566 |
461 | 0.000154502 | 0.000792754 | 1261 |
462 | 0.000188279 | 0.000981032 | 1019 |
463 | 0.000228537 | 0.001209569 | 826 |
464 | 0.000276313 | 0.001485883 | 673 |
465 | 0.000332764 | 0.001818647 | 549 |
466 | 0.000399174 | 0.002217821 | 450 |
467 | 0.000476958 | 0.002694779 | 371 |
468 | 0.000567661 | 0.003262441 | 306 |
469 | 0.000672963 | 0.003935404 | 254 |
470 | 0.000794669 | 0.004730073 | 211 |
471 | 0.000934706 | 0.005664779 | 176 |
472 | 0.001095112 | 0.006759891 | 147 |
473 | 0.001278016 | 0.008037907 | 124 |
474 | 0.001485626 | 0.009523533 | 105 |
475 | 0.001720199 | 0.011243732 | 88 |
476 | 0.001984011 | 0.013227743 | 75 |
477 | 0.002279325 | 0.015507068 | 64 |
478 | 0.002608349 | 0.018115417 | 55 |
479 | 0.002973191 | 0.021088608 | 47 |
480 | 0.00337581 | 0.024464418 | 40 |
481 | 0.003817964 | 0.028282383 | 35 |
482 | 0.004301151 | 0.032583533 | 30 |
483 | 0.00482655 | 0.037410084 | 26 |
484 | 0.005394966 | 0.04280505 | 23 |
485 | 0.006006767 | 0.048811816 | 20 |
486 | 0.006661825 | 0.055473642 | 18 |
487 | 0.00735947 | 0.062833112 | 15 |
488 | 0.008098434 | 0.070931546 | 14 |
489 | 0.008876811 | 0.079808356 | 12 |
490 | 0.009692028 | 0.089500384 | 11 |
491 | 0.010540821 | 0.100041205 | 9 |
492 | 0.011419222 | 0.111460427 | 8 |
493 | 0.012322569 | 0.123782996 | 8 |
494 | 0.013245514 | 0.13702851 | 7 |
495 | 0.014182065 | 0.151210575 | 6 |
496 | 0.01512563 | 0.166336205 | 6 |
497 | 0.01606908 | 0.182405285 | 5 |
498 | 0.01700483 | 0.199410115 | 5 |
499 | 0.017924931 | 0.217335046 | 4 |
500 | 0.018821177 | 0.236156223 | 4 |
501 | 0.019685223 | 0.255841446 | 3 |
502 | 0.020508709 | 0.276350155 | 3 |
503 | 0.021283392 | 0.297633546 | 3 |
504 | 0.022001284 | 0.31963483 | 3 |
505 | 0.022654787 | 0.342289617 | 2 |
506 | 0.023236827 | 0.365526444 | 2 |
507 | 0.023740979 | 0.389267424 | 2 |
508 | 0.024161587 | 0.413429011 | 2 |
509 | 0.024493868 | 0.437922879 | 2 |
510 | 0.024734004 | 0.462656883 | 2 |
511 | 0.024879214 | 0.487536097 | 2 |
512 | 0.024927806 | 0.512463903 | 1 |
513 | 0.024879214 | 0.487536097 | 2 |
514 | 0.024734004 | 0.462656883 | 2 |
515 | 0.024493868 | 0.437922879 | 2 |
516 | 0.024161587 | 0.413429011 | 2 |
517 | 0.023740979 | 0.389267424 | 2 |
518 | 0.023236827 | 0.365526444 | 2 |
519 | 0.022654787 | 0.342289617 | 2 |
520 | 0.022001284 | 0.31963483 | 3 |
521 | 0.021283392 | 0.297633546 | 3 |
522 | 0.020508709 | 0.276350155 | 3 |
523 | 0.019685223 | 0.255841446 | 3 |
524 | 0.018821177 | 0.236156223 | 4 |
525 | 0.017924931 | 0.217335046 | 4 |
526 | 0.01700483 | 0.199410115 | 5 |
527 | 0.01606908 | 0.182405285 | 5 |
528 | 0.01512563 | 0.166336205 | 6 |
529 | 0.014182065 | 0.151210575 | 6 |
530 | 0.013245514 | 0.13702851 | 7 |
531 | 0.012322569 | 0.123782996 | 8 |
532 | 0.011419222 | 0.111460427 | 8 |
533 | 0.010540821 | 0.100041205 | 9 |
534 | 0.009692028 | 0.089500384 | 11 |
535 | 0.008876811 | 0.079808356 | 12 |
536 | 0.008098434 | 0.070931546 | 14 |
537 | 0.00735947 | 0.062833112 | 15 |
538 | 0.006661825 | 0.055473642 | 18 |
539 | 0.006006767 | 0.048811816 | 20 |
540 | 0.005394966 | 0.04280505 | 23 |
541 | 0.00482655 | 0.037410084 | 26 |
542 | 0.004301151 | 0.032583533 | 30 |
543 | 0.003817964 | 0.028282383 | 35 |
544 | 0.00337581 | 0.024464418 | 40 |
545 | 0.002973191 | 0.021088608 | 47 |
546 | 0.002608349 | 0.018115417 | 55 |
547 | 0.002279325 | 0.015507068 | 64 |
548 | 0.001984011 | 0.013227743 | 75 |
549 | 0.001720199 | 0.011243732 | 88 |
550 | 0.001485626 | 0.009523533 | 105 |
551 | 0.001278016 | 0.008037907 | 124 |
552 | 0.001095112 | 0.006759891 | 147 |
553 | 0.000934706 | 0.005664779 | 176 |
554 | 0.000794669 | 0.004730073 | 211 |
555 | 0.000672963 | 0.003935404 | 254 |
556 | 0.000567661 | 0.003262441 | 306 |
557 | 0.000476958 | 0.002694779 | 371 |
558 | 0.000399174 | 0.002217821 | 450 |
559 | 0.000332764 | 0.001818647 | 549 |
560 | 0.000276313 | 0.001485883 | 673 |
561 | 0.000228537 | 0.001209569 | 826 |
562 | 0.000188279 | 0.000981032 | 1019 |
563 | 0.000154502 | 0.000792754 | 1261 |
564 | 0.000126286 | 0.000638251 | 1566 |
565 | 0.000102817 | 0.000511965 | 1953 |
566 | 8.33801 × 10-5 | 0.000409147 | 2444 |
567 | 6.73511 × 10-5 | 0.000325767 | 3069 |
568 | 5.41892 × 10-5 | 0.000258416 | 3869 |
569 | 4.34276 × 10-5 | 0.000204227 | 4896 |
570 | 3.46659 × 10-5 | 0.000160799 | 6218 |
571 | 2.75627 × 10-5 | 0.000126133 | 7928 |
572 | 2.18285 × 10-5 | 9.85708 × 10-5 | 10144 |
573 | 1.7219 × 10-5 | 7.67423 × 10-5 | 13030 |
574 | 1.35292 × 10-5 | 5.95233 × 10-5 | 16800 |
575 | 1.05881 × 10-5 | 4.59941 × 10-5 | 21741 |
576 | 8.25355 × 10-6 | 3.5406 × 10-5 | 28243 |
577 | 6.4083 × 10-6 | 2.71524 × 10-5 | 36829 |
578 | 4.9559 × 10-6 | 2.07441 × 10-5 | 48206 |
579 | 3.8175 × 10-6 | 1.57882 × 10-5 | 63338 |
580 | 2.92894 × 10-6 | 1.19707 × 10-5 | 83536 |
581 | 2.2383 × 10-6 | 9.0418 × 10-6 | 110597 |
582 | 1.70372 × 10-6 | 6.8035 × 10-6 | 146983 |
583 | 1.29167 × 10-6 | 5.09978 × 10-6 | 196086 |
584 | 9.75389 × 10-7 | 3.80811 × 10-6 | 262597 |
585 | 7.33626 × 10-7 | 2.83272 × 10-6 | 353017 |
586 | 5.49594 × 10-7 | 2.09909 × 10-6 | 476396 |
587 | 4.10089 × 10-7 | 1.5495 × 10-6 | 645370 |
588 | 3.04777 × 10-7 | 1.13941 × 10-6 | 877647 |
589 | 2.25607 × 10-7 | 8.34633 × 10-7 | 1198131 |
590 | 1.66338 × 10-7 | 6.09026 × 10-7 | 1641966 |
591 | 1.2215 × 10-7 | 4.42688 × 10-7 | 2258925 |
592 | 8.93426 × 10-8 | 3.20539 × 10-7 | 3119748 |
593 | 6.5086 × 10-8 | 2.31196 × 10-7 | 4325334 |
594 | 4.72257 × 10-8 | 1.6611 × 10-7 | 6020109 |
595 | 3.41295 × 10-8 | 1.18884 × 10-7 | 8411546 |
596 | 2.45664 × 10-8 | 8.47547 × 10-8 | 11798757 |
597 | 1.76121 × 10-8 | 6.01883 × 10-8 | 16614523 |
598 | 1.25758 × 10-8 | 4.25762 × 10-8 | 23487286 |
599 | 8.94376 × 10-9 | 3.00004 × 10-8 | 33332914 |
600 | 6.33516 × 10-9 | 2.10566 × 10-8 | 47491007 |
601 | 4.4694 × 10-9 | 1.47215 × 10-8 | 67928067 |
602 | 3.14046 × 10-9 | 1.02521 × 10-8 | 97541411 |
603 | 2.1978 × 10-9 | 7.1116 × 10-9 | 140615380 |
604 | 1.53191 × 10-9 | 4.9138 × 10-9 | 203508587 |
605 | 1.06347 × 10-9 | 3.38189 × 10-9 | 295692882 |
606 | 7.35307 × 10-10 | 2.31841 × 10-9 | 431329649 |
607 | 5.06356 × 10-10 | 1.58311 × 10-9 | 631669850 |
608 | 3.47287 × 10-10 | 1.07675 × 10-9 | 928721412 |
609 | 2.37227 × 10-10 | 7.29462 × 10-10 | 1370873305 |
610 | 1.61392 × 10-10 | 4.92235 × 10-10 | 2031551342 |
611 | 1.09356 × 10-10 | 3.30842 × 10-10 | 3022588158 |
612 | 7.37974 × 10-11 | 2.21486 × 10-10 | 4514949621 |
613 | 4.95995 × 10-11 | 1.47689 × 10-10 | 6770982074 |
614 | 3.3201 × 10-11 | 9.80895 × 10-11 | 10194767051 |
615 | 2.2134 × 10-11 | 6.48886 × 10-11 | 15411038332 |
616 | 1.46961 × 10-11 | 4.27546 × 10-11 | 23389315392 |
617 | 9.71801 × 10-12 | 2.80585 × 10-11 | 35639877297 |
618 | 6.40005 × 10-12 | 1.83404 × 10-11 | 54524292271 |
619 | 4.19777 × 10-12 | 1.19404 × 10-11 | 83749281426 |