95% 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	0.77639293670654296875
1	1	0.97467899322509765625
2	0	0.63159656524658203125
2	1	0.86464977264404296875
2	2	0.9830474853515625
3	0	0.52712917327880859375
3	1	0.75139522552490234375
3	2	0.90238857269287109375
3	3	0.98725795745849609375
4	0	0.4507198333740234375
4	1	0.65740871429443359375
4	2	0.81074428558349609375
4	3	0.92356014251708984375
4	4	0.9897937774658203125
5	0	0.3930377960205078125
5	1	0.58180332183837890625
5	2	0.72866153717041015625
5	3	0.84683895111083984375
5	4	0.93715000152587890625
5	5	0.9914875030517578125
6	0	0.348163604736328125
6	1	0.52070331573486328125
6	2	0.65873813629150390625
6	3	0.77467823028564453125
6	4	0.87124347686767578125
6	5	0.946624755859375
6	6	0.99269962310791015625
7	0	0.31234455108642578125
7	1	0.47067928314208984375
7	2	0.599689483642578125
7	3	0.71075916290283203125
7	4	0.80709743499755859375
7	5	0.8888874053955078125
7	6	0.95361042022705078125
7	7	0.99360942840576171875
8	0	0.2831287384033203125
8	1	0.42913532257080078125
8	2	0.54964160919189453125
8	3	0.65505886077880859375
8	4	0.7486324310302734375
8	5	0.831249237060546875
8	6	0.90225315093994140625
8	7	0.95897674560546875
8	8	0.99431705474853515625
9	0	0.2588653564453125
9	1	0.3941631317138671875
9	2	0.50690174102783203125
9	3	0.60662364959716796875
9	4	0.6964626312255859375
9	5	0.77755832672119140625
9	6	0.849971771240234375
9	7	0.91273593902587890625
9	8	0.96322917938232421875
9	9	0.99488353729248046875
10	0	0.23840427398681640625
10	1	0.36435985565185546875
10	2	0.4700870513916015625
10	3	0.56437397003173828125
10	4	0.650188446044921875
10	5	0.7287502288818359375
10	6	0.80042362213134765625
10	7	0.86492443084716796875
10	8	0.92117977142333984375
10	9	0.9666805267333984375
10	10	0.9953479766845703125
11	0	0.2209224700927734375
11	1	0.33868122100830078125
11	2	0.43810558319091796875
11	3	0.5273265838623046875
11	4	0.60913753509521484375
11	5	0.68476200103759765625
11	6	0.75470066070556640625
11	7	0.8189754486083984375
11	8	0.8771495819091796875
11	9	0.92813014984130859375
11	10	0.969539642333984375
11	11	0.99573421478271484375
12	0	0.20581722259521484375
12	1	0.3163394927978515625
12	2	0.41009807586669921875
12	3	0.4946498870849609375
12	4	0.57261943817138671875
12	5	0.6452007293701171875
12	6	0.71295070648193359375
12	7	0.7760448455810546875
12	8	0.83434009552001953125
12	9	0.88733386993408203125
12	10	0.9339504241943359375
12	11	0.97194671630859375
12	12	0.99606227874755859375
13	0	0.1926364898681640625
13	1	0.29673480987548828125
13	2	0.38539028167724609375
13	3	0.46565723419189453125
13	4	0.54000568389892578125
13	5	0.60958576202392578125
13	6	0.67497158050537109375
13	7	0.73641490936279296875
13	8	0.79392719268798828125
13	9	0.84728240966796875
13	10	0.89595317840576171875
13	11	0.93889713287353515625
13	12	0.9740009307861328125
13	13	0.99634265899658203125
14	0	0.1810359954833984375
14	1	0.27939605712890625
14	2	0.36344146728515625
14	3	0.43978404998779296875
14	4	0.5107517242431640625
14	5	0.57744312286376953125
14	6	0.64043521881103515625
14	7	0.70001316070556640625
14	8	0.75627231597900390625
14	9	0.80913543701171875
14	10	0.85833644866943359375
14	11	0.90334224700927734375
14	12	0.94315338134765625
14	13	0.97577381134033203125
14	14	0.99658679962158203125
15	0	0.170749664306640625
15	1	0.26395702362060546875
15	2	0.34382534027099609375
15	3	0.41657257080078125
15	4	0.48439693450927734375
15	5	0.54834651947021484375
15	6	0.60898876190185546875
15	7	0.6666259765625
15	8	0.72139739990234375
15	9	0.77330875396728515625
15	10	0.82223415374755859375
15	11	0.86788845062255859375
15	12	0.90974712371826171875
15	13	0.94685459136962890625
15	14	0.97732067108154296875
15	15	0.996799468994140625
16	0	0.16156673431396484375
16	1	0.25012493133544921875
16	2	0.3261928558349609375
16	3	0.395641326904296875
16	4	0.46054935455322265625
16	5	0.52191829681396484375
16	6	0.58029460906982421875
16	7	0.63599109649658203125
16	8	0.68916988372802734375
16	9	0.7398853302001953125
16	10	0.7880916595458984375
16	11	0.833637237548828125
16	12	0.87622928619384765625
16	13	0.91535472869873046875
16	14	0.9501018524169921875
16	15	0.97868251800537109375
16	16	0.99698734283447265625
17	0	0.15331745147705078125
17	1	0.23766040802001953125
17	2	0.3102626800537109375
17	3	0.37667942047119140625
17	4	0.4388828277587890625
17	5	0.49782848358154296875
17	6	0.55404567718505859375
17	7	0.60784435272216796875
17	8	0.65940189361572265625
17	9	0.70879840850830078125
17	10	0.756038665771484375
17	11	0.80104732513427734375
17	12	0.8436565399169921875
17	13	0.88357448577880859375
17	14	0.92030429840087890625
17	15	0.95297527313232421875
17	16	0.97988986968994140625
17	17	0.99715423583984375
18	0	0.1458683013916015625
18	1	0.22637462615966796875
18	2	0.29580211639404296875
18	3	0.35942554473876953125
18	4	0.41911983489990234375
18	5	0.47579669952392578125
18	6	0.52996730804443359375
18	7	0.58193492889404296875
18	8	0.63188457489013671875
18	9	0.67991352081298828125
18	10	0.72605419158935546875
18	11	0.7702789306640625
18	12	0.81249523162841796875
18	13	0.85253047943115234375
18	14	0.89009380340576171875
18	15	0.92470645904541015625
18	16	0.95553493499755859375
18	17	0.9809665679931640625
18	18	0.99730396270751953125
19	0	0.1391086578369140625
19	1	0.216106414794921875
19	2	0.28261852264404296875
19	3	0.34366321563720703125
19	4	0.40102863311767578125
19	5	0.45558261871337890625
19	6	0.5078182220458984375
19	7	0.55803394317626953125
19	8	0.60641574859619140625
19	9	0.65306854248046875
19	10	0.69804668426513671875
19	11	0.74134922027587890625
19	12	0.78293132781982421875
19	13	0.822689056396484375
19	14	0.86044597625732421875
19	15	0.89591884613037109375
19	16	0.928646087646484375
19	17	0.9578304290771484375
19	18	0.98193454742431640625
19	19	0.9974384307861328125
20	0	0.132946014404296875
20	1	0.20672512054443359375
20	2	0.2705516815185546875
20	3	0.32921123504638671875
20	4	0.38440799713134765625
20	5	0.43697643280029296875
20	6	0.48738861083984375
20	7	0.53593540191650390625
20	8	0.58280086517333984375
20	9	0.62809848785400390625
20	10	0.67189121246337890625
20	11	0.71420001983642578125
20	12	0.75500583648681640625
20	13	0.79424953460693359375
20	14	0.83182430267333984375
20	15	0.8675518035888671875
20	16	0.90115642547607421875
20	17	0.932193756103515625
20	18	0.95990085601806640625
20	19	0.9828090667724609375
20	20	0.9975605010986328125
21	0	0.12730503082275390625
21	1	0.1981220245361328125
21	2	0.25946712493896484375
21	3	0.31591320037841796875
21	4	0.369091033935546875
21	5	0.4197998046875
21	6	0.468494415283203125
21	7	0.51545619964599609375
21	8	0.56086826324462890625
21	9	0.60484409332275390625
21	10	0.64745616912841796875
21	11	0.68873691558837890625
21	12	0.72868633270263671875
21	13	0.76727581024169921875
21	14	0.8044376373291015625
21	15	0.84005832672119140625
21	16	0.873966217041015625
21	17	0.90589046478271484375
21	18	0.93540477752685546875
21	19	0.9617767333984375
21	20	0.9836025238037109375
21	21	0.9976711273193359375
22	0	0.12212276458740234375
22	1	0.19020366668701171875
22	2	0.249248504638671875
22	3	0.30363750457763671875
22	4	0.35493183135986328125
22	5	0.40389919281005859375
22	6	0.4509754180908203125
22	7	0.4964351654052734375
22	8	0.54045581817626953125
22	9	0.5831546783447265625
22	10	0.62460613250732421875
22	11	0.664852142333984375
22	12	0.70390605926513671875
22	13	0.74175739288330078125
22	14	0.7783641815185546875
22	15	0.81365680694580078125
22	16	0.84751987457275390625
22	17	0.8797855377197265625
22	18	0.91019153594970703125
22	19	0.93832492828369140625
22	20	0.96348476409912109375
22	21	0.98432636260986328125
22	22	0.997772216796875
23	0	0.11734676361083984375
23	1	0.18289279937744140625
23	2	0.23980045318603515625
23	3	0.29227352142333984375
23	4	0.34180736541748046875
23	5	0.3891391754150390625
23	6	0.43469142913818359375
23	7	0.47872829437255859375
23	8	0.52142238616943359375
23	9	0.562892913818359375
23	10	0.60321521759033203125
23	11	0.64243602752685546875
23	12	0.68057918548583984375
23	13	0.71764469146728515625
23	14	0.75361156463623046875
23	15	0.78843402862548828125
23	16	0.82203960418701171875
23	17	0.85431385040283203125
23	18	0.88508892059326171875
23	19	0.91411495208740234375
23	20	0.94099140167236328125
23	21	0.96504688262939453125
23	22	0.98498821258544921875
23	23	0.99786472320556640625
24	0	0.1129283905029296875
24	1	0.176120758056640625
24	2	0.23104000091552734375
24	3	0.28172206878662109375
24	4	0.32960796356201171875
24	5	0.37540531158447265625
24	6	0.41952037811279296875
24	7	0.46220874786376953125
24	8	0.50364208221435546875
24	9	0.54393291473388671875
24	10	0.58316135406494140625
24	11	0.62137889862060546875
24	12	0.658611297607421875
24	13	0.69487094879150390625
24	14	0.73014736175537109375
24	15	0.7644138336181640625
24	16	0.79762172698974609375
24	17	0.8296966552734375
24	18	0.86052417755126953125
24	19	0.8899440765380859375
24	20	0.9177093505859375
24	21	0.9434375762939453125
24	22	0.966480255126953125
24	23	0.98559665679931640625
24	24	0.99795055389404296875
25	0	0.10883045196533203125
25	1	0.16983127593994140625
25	2	0.22289371490478515625
25	3	0.2719020843505859375
25	4	0.31824207305908203125
25	5	0.3625946044921875
25	6	0.405353546142578125
25	7	0.44676685333251953125
25	8	0.48699855804443359375
25	9	0.52616214752197265625
25	10	0.56433773040771484375
25	11	0.6015758514404296875
25	12	0.6379108428955078125
25	13	0.67335796356201171875
25	14	0.7079181671142578125
25	15	0.74157619476318359375
25	16	0.77430057525634765625
25	17	0.8060398101806640625
25	18	0.83671855926513671875
25	19	0.86622524261474609375
25	20	0.8944034576416015625
25	21	0.92101383209228515625
25	22	0.9456882476806640625
25	23	0.96780109405517578125
25	24	0.98615741729736328125
25	25	0.99802875518798828125
26	0	0.10501956939697265625
26	1	0.16397380828857421875
26	2	0.21530055999755859375
26	3	0.26273822784423828125
26	4	0.30762577056884765625
26	5	0.35061931610107421875
26	6	0.39209842681884765625
26	7	0.43230152130126953125
26	8	0.4713916778564453125
26	9	0.50947856903076171875
26	10	0.5466403961181640625
26	11	0.5829315185546875
26	12	0.6183872222900390625
26	13	0.6530284881591796875
26	14	0.6868610382080078125
26	15	0.71988010406494140625
26	16	0.7520656585693359375
26	17	0.78338336944580078125
26	18	0.8137798309326171875
26	19	0.84318065643310546875
26	20	0.87147808074951171875
26	21	0.89851474761962890625
26	22	0.92406368255615234375
26	23	0.94776630401611328125
26	24	0.96902179718017578125
26	25	0.9866771697998046875
26	26	0.9981021881103515625
27	0	0.10146617889404296875
27	1	0.15850734710693359375
27	2	0.20820522308349609375
27	3	0.254169464111328125
27	4	0.29769039154052734375
27	5	0.33940219879150390625
27	6	0.37967014312744140625
27	7	0.418727874755859375
27	8	0.45673084259033203125
27	9	0.49378871917724609375
27	10	0.52997875213623046875
27	11	0.5653553009033203125
27	12	0.59995555877685546875
27	13	0.63380336761474609375
27	14	0.66690921783447265625
27	15	0.69927501678466796875
27	16	0.73088932037353515625
27	17	0.76172924041748046875
27	18	0.7917575836181640625
27	19	0.8209228515625
27	20	0.8491497039794921875
27	21	0.876331329345703125
27	22	0.90231800079345703125
27	23	0.92688655853271484375
27	24	0.9496917724609375
27	25	0.97015285491943359375
27	26	0.98715877532958984375
27	27	0.99816989898681640625
28	0	0.09814453125
28	1	0.15339183807373046875
28	2	0.20156002044677734375
28	3	0.24613857269287109375
28	4	0.288372039794921875
28	5	0.3288726806640625
28	6	0.36799526214599609375
28	7	0.4059658050537109375
28	8	0.442935943603515625
28	9	0.47901248931884765625
28	10	0.51426982879638671875
28	11	0.5487651824951171875
28	12	0.58253574371337890625
28	13	0.61560726165771484375
28	14	0.64799594879150390625
28	15	0.67970371246337890625
28	16	0.71072864532470703125
28	17	0.74105548858642578125
28	18	0.77065944671630859375
28	19	0.79950428009033203125
28	20	0.82753467559814453125
28	21	0.85467815399169921875
28	22	0.8808307647705078125
28	23	0.90584468841552734375
28	24	0.9295063018798828125
28	25	0.95147991180419921875
28	26	0.9712047576904296875
28	27	0.98760700225830078125
28	28	0.99823284149169921875
29	0	0.0950336456298828125
29	1	0.1485958099365234375
29	2	0.1953258514404296875
29	3	0.238597869873046875
29	4	0.2796154022216796875
29	5	0.31897068023681640625
29	6	0.35700893402099609375
29	7	0.393947601318359375
29	8	0.42993450164794921875
29	9	0.4650726318359375
29	10	0.49943828582763671875
29	11	0.53308582305908203125
29	12	0.56605434417724609375
29	13	0.59837055206298828125
29	14	0.6300525665283203125
29	15	0.66110706329345703125
29	16	0.69153594970703125
29	17	0.7213306427001953125
29	18	0.75047397613525390625
29	19	0.77894115447998046875
29	20	0.80669116973876953125
29	21	0.83367443084716796875
29	22	0.85981464385986328125
29	23	0.88501262664794921875
29	24	0.90912532806396484375
29	25	0.93194484710693359375
29	26	0.95314502716064453125
29	27	0.97218418121337890625
29	28	0.98802471160888671875
29	29	0.99829196929931640625
30	0	0.09211444854736328125
30	1	0.1440906524658203125
30	2	0.189464569091796875
30	3	0.23150348663330078125
30	4	0.27137088775634765625
30	5	0.30964374542236328125
30	6	0.34665203094482421875
30	7	0.382610321044921875
30	8	0.41766071319580078125
30	9	0.451904296875
30	10	0.48541545867919921875
30	11	0.51824951171875
30	12	0.5504436492919921875
30	13	0.58202648162841796875
30	14	0.613018035888671875
30	15	0.64342784881591796875
30	16	0.67326068878173828125
30	17	0.7025127410888671875
30	18	0.73117351531982421875
30	19	0.75922489166259765625
30	20	0.78663921356201171875
30	21	0.81337833404541015625
30	22	0.83938884735107421875
30	23	0.8645992279052734375
30	24	0.88891124725341796875
30	25	0.9121856689453125
30	26	0.9342193603515625
30	27	0.95469951629638671875
30	28	0.97309970855712890625
30	29	0.988414764404296875
30	30	0.99834728240966796875
31	0	0.08936786651611328125
31	1	0.13984966278076171875
31	2	0.18394374847412109375
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