99% Upper Confidence Limits

# n is the number of trials.
# x is the number of successes in n trials.
# If you want the values that n up to 1000, please download the CSV.

n	x	Upper limit
1	0	0.90000057220458984375
1	1	0.99498748779296875
2	0	0.78455638885498046875
2	1	0.94109630584716796875
2	2	0.99665546417236328125
3	0	0.68377208709716796875
3	1	0.8591327667236328125
3	2	0.95800113677978515625
3	3	0.99749088287353515625
4	0	0.60189342498779296875
4	1	0.77792835235595703125
4	2	0.89436054229736328125
4	3	0.9673175811767578125
4	4	0.99799251556396484375
5	0	0.5358409881591796875
5	1	0.7056865692138671875
5	2	0.82693004608154296875
5	3	0.9152698516845703125
5	4	0.97323703765869140625
5	5	0.99832630157470703125
6	0	0.48205280303955078125
6	1	0.64336490631103515625
6	2	0.76367664337158203125
6	3	0.85772991180419921875
6	4	0.92919635772705078125
6	5	0.9773349761962890625
6	6	0.99856472015380859375
7	0	0.43765926361083984375
7	1	0.58994197845458984375
7	2	0.70676898956298828125
7	3	0.8017978668212890625
7	4	0.87905025482177734375
7	5	0.93916034698486328125
7	6	0.98034191131591796875
7	7	0.99874401092529296875
8	0	0.40051555633544921875
8	1	0.54403400421142578125
8	2	0.656314849853515625
8	3	0.749973297119140625
8	4	0.8290348052978515625
8	5	0.89473819732666015625
8	6	0.946651458740234375
8	7	0.98264408111572265625
8	8	0.9988842010498046875
9	0	0.36904239654541015625
9	1	0.504352569580078125
9	2	0.61174297332763671875
9	3	0.70288372039794921875
9	4	0.78166103363037109375
9	5	0.84955692291259765625
9	6	0.9067859649658203125
9	7	0.95249271392822265625
9	8	0.98446178436279296875
9	9	0.99899578094482421875
10	0	0.34206676483154296875
10	1	0.4698162078857421875
10	2	0.572322845458984375
10	3	0.66041660308837890625
10	4	0.73779773712158203125
10	5	0.80602359771728515625
10	6	0.86561298370361328125
10	7	0.916339874267578125
10	8	0.95717716217041015625
10	9	0.985935211181640625
10	10	0.99908733367919921875
11	0	0.31870746612548828125
11	1	0.43954372406005859375
11	2	0.53734302520751953125
11	3	0.62219333648681640625
11	4	0.6975955963134765625
11	5	0.76510715484619140625
11	6	0.82539081573486328125
11	7	0.87853336334228515625
11	8	0.92410564422607421875
11	9	0.961017608642578125
11	10	0.98715305328369140625
11	11	0.9991626739501953125
12	0	0.2982959747314453125
12	1	0.4128265380859375
12	2	0.50617122650146484375
12	3	0.5877590179443359375
12	4	0.66089916229248046875
12	5	0.72711277008056640625
12	6	0.7871227264404296875
12	7	0.84118175506591796875
12	8	0.88916492462158203125
12	9	0.93054485321044921875
12	10	0.96422481536865234375
12	11	0.9881763458251953125
12	12	0.99922657012939453125
13	0	0.28031444549560546875
13	1	0.389095306396484375
13	2	0.47826480865478515625
13	3	0.55666828155517578125
13	4	0.62743473052978515625
13	5	0.6920299530029296875
13	6	0.75120067596435546875
13	7	0.80528163909912109375
13	8	0.85431766510009765625
13	9	0.8980712890625
13	10	0.9359722137451171875
13	11	0.96694278717041015625
13	12	0.98904895782470703125
13	13	0.99928188323974609375
14	0	0.26435756683349609375
14	1	0.36789035797119140625
14	2	0.45316600799560546875
14	3	0.52851390838623046875
14	4	0.59689235687255859375
14	5	0.659709930419921875
14	6	0.7177104949951171875
14	7	0.77127361297607421875
14	8	0.8205356597900390625
14	9	0.86542415618896484375
14	10	0.905643463134765625
14	11	0.94060993194580078125
14	12	0.96927738189697265625
14	13	0.98980045318603515625
14	14	0.99932956695556640625
15	0	0.25010585784912109375
15	1	0.34883785247802734375
15	2	0.43049335479736328125
15	3	0.50293636322021484375
15	4	0.56897068023681640625
15	5	0.6299457550048828125
15	6	0.68659114837646484375
15	7	0.73930835723876953125
15	8	0.78828334808349609375
15	9	0.83354091644287109375
15	10	0.8749408721923828125
15	11	0.91216182708740234375
15	12	0.94461917877197265625
15	13	0.971302032470703125
15	14	0.99045658111572265625
15	15	0.99937152862548828125
16	0	0.23730182647705078125
16	1	0.33163356781005859375
16	2	0.409923553466796875
16	3	0.47962093353271484375
16	4	0.54338741302490234375
16	5	0.60251331329345703125
16	6	0.65771007537841796875
16	7	0.7093830108642578125
16	8	0.75775241851806640625
16	9	0.80289459228515625
16	10	0.84476566314697265625
16	11	0.88319110870361328125
16	12	0.91783428192138671875
16	13	0.94811916351318359375
16	14	0.97307682037353515625
16	15	0.99103260040283203125
16	16	0.999408721923828125
17	0	0.2257366180419921875
17	1	0.31602382659912109375
17	2	0.39118671417236328125
17	3	0.4582977294921875
17	4	0.51988983154296875
17	5	0.57719516754150390625
17	6	0.63090610504150390625
17	7	0.68142414093017578125
17	8	0.7289867401123046875
17	9	0.77370452880859375
17	10	0.81558895111083984375
17	11	0.85455608367919921875
17	12	0.89041233062744140625
17	13	0.92281436920166015625
17	14	0.95120334625244140625
17	15	0.97464466094970703125
17	16	0.99154376983642578125
17	17	0.99944210052490234375
18	0	0.21523952484130859375
18	1	0.30180072784423828125
18	2	0.37405490875244140625
18	3	0.4387340545654296875
18	4	0.49825191497802734375
18	5	0.5537891387939453125
18	6	0.60601139068603515625
18	7	0.6553192138671875
18	8	0.70195293426513671875
18	9	0.74604701995849609375
18	10	0.787647247314453125
18	11	0.82672595977783203125
18	12	0.86317539215087890625
18	13	0.8967876434326171875
18	14	0.92722415924072265625
18	15	0.9539394378662109375
18	16	0.97603893280029296875
18	17	0.99199962615966796875
18	18	0.99947071075439453125
19	0	0.20567226409912109375
19	1	0.28879070281982421875
19	2	0.3583354949951171875
19	3	0.4207286834716796875
19	4	0.478275299072265625
19	5	0.5321063995361328125
19	6	0.58286380767822265625
19	7	0.63093852996826171875
19	8	0.67657566070556640625
19	9	0.71992015838623046875
19	10	0.76104068756103515625
19	11	0.79994487762451171875
19	12	0.8365802764892578125
19	13	0.8708209991455078125
19	14	0.90245723724365234375
19	15	0.93115520477294921875
19	16	0.9563846588134765625
19	17	0.97728824615478515625
19	18	0.99240779876708984375
19	19	0.99949741363525390625
20	0	0.19691371917724609375
20	1	0.27684497833251953125
20	2	0.34386348724365234375
20	3	0.404109954833984375
20	4	0.45978641510009765625
20	5	0.51198101043701171875
20	6	0.56130886077880859375
20	7	0.60815525054931640625
20	8	0.65276050567626953125
20	9	0.6952762603759765625
20	10	0.73578929901123046875
20	11	0.77432918548583984375
20	12	0.81087779998779296875
20	13	0.84536266326904296875
20	14	0.87765216827392578125
20	15	0.90753459930419921875
20	16	0.93468189239501953125
20	17	0.95858287811279296875
20	18	0.97841358184814453125
20	19	0.99277782440185546875
20	20	0.9995212554931640625
21	0	0.188869476318359375
21	1	0.2658405303955078125
21	2	0.3304996490478515625
21	3	0.3887271881103515625
21	4	0.44263362884521484375
21	5	0.49326038360595703125
21	6	0.54120540618896484375
21	7	0.5868396759033203125
21	8	0.630401611328125
21	9	0.67204761505126953125
21	10	0.71187114715576171875
21	11	0.7499179840087890625
21	12	0.78619480133056640625
21	13	0.82066249847412109375
21	14	0.85324001312255859375
21	15	0.88379192352294921875
21	16	0.91210651397705078125
21	17	0.93786334991455078125
21	18	0.96057033538818359375
21	19	0.9794330596923828125
21	20	0.9931125640869140625
21	21	0.99954319000244140625
22	0	0.18145275115966796875
22	1	0.25567150115966796875
22	2	0.31812381744384765625
22	3	0.37445163726806640625
22	4	0.42668056488037109375
22	5	0.47581386566162109375
22	6	0.5224246978759765625
22	7	0.56687450408935546875
22	8	0.60939884185791015625
22	9	0.65015316009521484375
22	10	0.68923664093017578125
22	11	0.72670650482177734375
22	12	0.76258373260498046875
22	13	0.796855926513671875
22	14	0.8294734954833984375
22	15	0.86034870147705078125
22	16	0.88934230804443359375
22	17	0.9162464141845703125
22	18	0.94074916839599609375
22	19	0.96237468719482421875
22	20	0.9803600311279296875
22	21	0.9934177398681640625
22	22	0.9995632171630859375
23	0	0.17459583282470703125
23	1	0.24624538421630859375
23	2	0.30663013458251953125
23	3	0.3611698150634765625
23	4	0.41181182861328125
23	5	0.45951938629150390625
23	6	0.50484943389892578125
23	7	0.54814910888671875
23	8	0.58965015411376953125
23	9	0.6295070648193359375
23	10	0.66782283782958984375
23	11	0.704662322998046875
23	12	0.74005603790283203125
23	13	0.7740077972412109375
23	14	0.80649089813232421875
23	15	0.83745098114013671875
23	16	0.86679553985595703125
23	17	0.89438343048095703125
23	18	0.92001247406005859375
23	19	0.943378448486328125
23	20	0.9640216827392578125
23	21	0.9812068939208984375
23	22	0.99369716644287109375
23	23	0.99958133697509765625
24	0	0.16823673248291015625
24	1	0.2374858856201171875
24	2	0.29592990875244140625
24	3	0.34878444671630859375
24	4	0.397922515869140625
24	5	0.44427394866943359375
24	6	0.48837375640869140625
24	7	0.5305614471435546875
24	8	0.57106113433837890625
24	9	0.610027313232421875
24	10	0.647563934326171875
24	11	0.68373870849609375
24	12	0.71859264373779296875
24	13	0.75213718414306640625
24	14	0.78436565399169921875
24	15	0.81524372100830078125
24	16	0.8447093963623046875
24	17	0.872669219970703125
24	18	0.89898395538330078125
24	19	0.92345333099365234375
24	20	0.9457836151123046875
24	21	0.96552944183349609375
24	22	0.98198413848876953125
24	23	0.993953704833984375
24	24	0.99959850311279296875
25	0	0.16232204437255859375
25	1	0.22932529449462890625
25	2	0.28594493865966796875
25	3	0.33720874786376953125
25	4	0.38492298126220703125
25	5	0.42998218536376953125
25	6	0.47290515899658203125
25	7	0.514019012451171875
25	8	0.55354404449462890625
25	9	0.59163188934326171875
25	10	0.628387451171875
25	11	0.6638813018798828125
25	12	0.69815731048583984375
25	13	0.73123836517333984375
25	14	0.763126373291015625
25	15	0.79380321502685546875
25	16	0.823230743408203125
25	17	0.85134220123291015625
25	18	0.87804412841796875
25	19	0.9031982421875
25	20	0.92660999298095703125
25	21	0.9479923248291015625
25	22	0.9669170379638671875
25	23	0.98269939422607421875
25	24	0.994190216064453125
25	25	0.99961376190185546875
26	0	0.1568088531494140625
26	1	0.22170352935791015625
26	2	0.2766056060791015625
26	3	0.32636737823486328125
26	4	0.372730255126953125
26	5	0.41656017303466796875
26	6	0.45835590362548828125
26	7	0.49843692779541015625
26	8	0.537017822265625
26	9	0.57424640655517578125
26	10	0.61022663116455078125
26	11	0.645030975341796875
26	12	0.67870807647705078125
26	13	0.71128559112548828125
26	14	0.74277496337890625
26	15	0.77316761016845703125
26	16	0.80243968963623046875
26	17	0.83054828643798828125
26	18	0.8574275970458984375
26	19	0.88298130035400390625
26	20	0.907073974609375
26	21	0.92951488494873046875
26	22	0.95002841949462890625
26	23	0.96819591522216796875
26	24	0.98335933685302734375
26	25	0.99440860748291015625
26	26	0.9996280670166015625
27	0	0.1516571044921875
27	1	0.214569091796875
27	2	0.267852783203125
27	3	0.31619358062744140625
27	4	0.36127471923828125
27	5	0.4039325714111328125
27	6	0.44465160369873046875
27	7	0.48374080657958984375
27	8	0.52140712738037109375
27	9	0.557796478271484375
27	10	0.59301280975341796875
27	11	0.62712955474853515625
27	12	0.66019725799560546875
27	13	0.69224643707275390625
27	14	0.72329616546630859375
27	15	0.75334453582763671875
27	16	0.78238010406494140625
27	17	0.81037425994873046875
27	18	0.8372802734375
27	19	0.8630313873291015625
27	20	0.88753223419189453125
27	21	0.91064929962158203125
27	22	0.93219852447509765625
27	23	0.9519100189208984375
27	24	0.96938037872314453125
27	25	0.98397159576416015625
27	26	0.9946117401123046875
27	27	0.99964141845703125
28	0	0.14683246612548828125
28	1	0.20787811279296875
28	2	0.25963306427001953125
28	3	0.30662822723388671875
28	4	0.3504924774169921875
28	5	0.3920345306396484375
28	6	0.43172359466552734375
28	7	0.46985721588134765625
28	8	0.506641387939453125
28	9	0.54221630096435546875
28	10	0.5766849517822265625
28	11	0.61011981964111328125
28	12	0.642574310302734375
28	13	0.6740818023681640625
28	14	0.70466327667236328125
28	15	0.73432636260986328125
28	16	0.76306629180908203125
28	17	0.79086399078369140625
28	18	0.81768894195556640625
28	19	0.84349346160888671875
28	20	0.86820888519287109375
28	21	0.8917407989501953125
28	22	0.91396045684814453125
28	23	0.93468475341796875
28	24	0.95365428924560546875
28	25	0.97047901153564453125
28	26	0.98453998565673828125
28	27	0.994800567626953125
28	28	0.99965381622314453125
29	0	0.14230442047119140625
29	1	0.2015895843505859375
29	2	0.25189876556396484375
29	3	0.297618865966796875
29	4	0.3403263092041015625
29	5	0.38080501556396484375
29	6	0.4195079803466796875
29	7	0.45672702789306640625
29	8	0.49265956878662109375
29	9	0.5274448394775390625
29	10	0.56118297576904296875
29	11	0.5939464569091796875
29	12	0.625789642333984375
29	13	0.65674877166748046875
29	14	0.6868457794189453125
29	15	0.716094970703125
29	16	0.74449634552001953125
29	17	0.7720394134521484375
29	18	0.7987041473388671875
29	19	0.82445621490478515625
29	20	0.84924602508544921875
29	21	0.87300586700439453125
29	22	0.89564418792724609375
29	23	0.91703319549560546875
29	24	0.93699550628662109375
29	25	0.95527744293212890625
29	26	0.9715023040771484375
29	27	0.98507022857666015625
29	28	0.994976043701171875
29	29	0.99966526031494140625
30	0	0.1380462646484375
30	1	0.1956691741943359375
30	2	0.244609832763671875
30	3	0.28911876678466796875
30	4	0.33072662353515625
30	5	0.37019062042236328125
30	6	0.40795135498046875
30	7	0.44429111480712890625
30	8	0.47940349578857421875
30	9	0.513423919677734375
30	10	0.54645061492919921875
30	11	0.57855701446533203125
30	12	0.60979461669921875
30	13	0.6402034759521484375
30	14	0.66980838775634765625
30	15	0.69862461090087890625
30	16	0.72665691375732421875
30	17	0.75390338897705078125
30	18	0.78034877777099609375
30	19	0.8059711456298828125
30	20	0.83073329925537109375
30	21	0.854587554931640625
30	22	0.87746524810791015625
30	23	0.8992748260498046875
30	24	0.9198932647705078125
30	25	0.93914699554443359375
30	26	0.95678997039794921875
30	27	0.97245693206787109375
30	28	0.98556423187255859375
30	29	0.99514102935791015625
30	30	0.999675750732421875
31	0	0.13403606414794921875
31	1	0.19008541107177734375
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