99% Lower 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 | Lower limit |
1 | 0 | 0.00501251220703125 |
1 | 1 | 0.09999942779541015625 |
2 | 0 | 0.00334453582763671875 |
2 | 1 | 0.05890369415283203125 |
2 | 2 | 0.21544361114501953125 |
3 | 0 | 0.00250911712646484375 |
3 | 1 | 0.04199886322021484375 |
3 | 2 | 0.1408672332763671875 |
3 | 3 | 0.31622791290283203125 |
4 | 0 | 0.00200748443603515625 |
4 | 1 | 0.0326824188232421875 |
4 | 2 | 0.10563945770263671875 |
4 | 3 | 0.22207164764404296875 |
4 | 4 | 0.39810657501220703125 |
5 | 0 | 0.00167369842529296875 |
5 | 1 | 0.02676296234130859375 |
5 | 2 | 0.0847301483154296875 |
5 | 3 | 0.17306995391845703125 |
5 | 4 | 0.2943134307861328125 |
5 | 5 | 0.4641590118408203125 |
6 | 0 | 0.00143527984619140625 |
6 | 1 | 0.0226650238037109375 |
6 | 2 | 0.07080364227294921875 |
6 | 3 | 0.14227008819580078125 |
6 | 4 | 0.23632335662841796875 |
6 | 5 | 0.35663509368896484375 |
6 | 6 | 0.51794719696044921875 |
7 | 0 | 0.00125598907470703125 |
7 | 1 | 0.01965808868408203125 |
7 | 2 | 0.06083965301513671875 |
7 | 3 | 0.12094974517822265625 |
7 | 4 | 0.1982021331787109375 |
7 | 5 | 0.29323101043701171875 |
7 | 6 | 0.41005802154541015625 |
7 | 7 | 0.56234073638916015625 |
8 | 0 | 0.0011157989501953125 |
8 | 1 | 0.01735591888427734375 |
8 | 2 | 0.053348541259765625 |
8 | 3 | 0.10526180267333984375 |
8 | 4 | 0.1709651947021484375 |
8 | 5 | 0.250026702880859375 |
8 | 6 | 0.343685150146484375 |
8 | 7 | 0.45596599578857421875 |
8 | 8 | 0.59948444366455078125 |
9 | 0 | 0.00100421905517578125 |
9 | 1 | 0.01553821563720703125 |
9 | 2 | 0.04750728607177734375 |
9 | 3 | 0.0932140350341796875 |
9 | 4 | 0.15044307708740234375 |
9 | 5 | 0.21833896636962890625 |
9 | 6 | 0.29711627960205078125 |
9 | 7 | 0.38825702667236328125 |
9 | 8 | 0.495647430419921875 |
9 | 9 | 0.63095760345458984375 |
10 | 0 | 0.00091266632080078125 |
10 | 1 | 0.014064788818359375 |
10 | 2 | 0.04282283782958984375 |
10 | 3 | 0.083660125732421875 |
10 | 4 | 0.13438701629638671875 |
10 | 5 | 0.19397640228271484375 |
10 | 6 | 0.26220226287841796875 |
10 | 7 | 0.33958339691162109375 |
10 | 8 | 0.427677154541015625 |
10 | 9 | 0.5301837921142578125 |
10 | 10 | 0.65793323516845703125 |
11 | 0 | 0.0008373260498046875 |
11 | 1 | 0.01284694671630859375 |
11 | 2 | 0.038982391357421875 |
11 | 3 | 0.07589435577392578125 |
11 | 4 | 0.12146663665771484375 |
11 | 5 | 0.17460918426513671875 |
11 | 6 | 0.23489284515380859375 |
11 | 7 | 0.3024044036865234375 |
11 | 8 | 0.37780666351318359375 |
11 | 9 | 0.46265697479248046875 |
11 | 10 | 0.56045627593994140625 |
11 | 11 | 0.68129253387451171875 |
12 | 0 | 0.00077342987060546875 |
12 | 1 | 0.0118236541748046875 |
12 | 2 | 0.03577518463134765625 |
12 | 3 | 0.06945514678955078125 |
12 | 4 | 0.11083507537841796875 |
12 | 5 | 0.15881824493408203125 |
12 | 6 | 0.2128772735595703125 |
12 | 7 | 0.27288722991943359375 |
12 | 8 | 0.33910083770751953125 |
12 | 9 | 0.4122409820556640625 |
12 | 10 | 0.49382877349853515625 |
12 | 11 | 0.5871734619140625 |
12 | 12 | 0.7017040252685546875 |
13 | 0 | 0.00071811676025390625 |
13 | 1 | 0.01095104217529296875 |
13 | 2 | 0.03305721282958984375 |
13 | 3 | 0.0640277862548828125 |
13 | 4 | 0.1019287109375 |
13 | 5 | 0.14568233489990234375 |
13 | 6 | 0.19471836090087890625 |
13 | 7 | 0.24879932403564453125 |
13 | 8 | 0.3079700469970703125 |
13 | 9 | 0.37256526947021484375 |
13 | 10 | 0.44333171844482421875 |
13 | 11 | 0.52173519134521484375 |
13 | 12 | 0.610904693603515625 |
13 | 13 | 0.71968555450439453125 |
14 | 0 | 0.00067043304443359375 |
14 | 1 | 0.01019954681396484375 |
14 | 2 | 0.03072261810302734375 |
14 | 3 | 0.05939006805419921875 |
14 | 4 | 0.094356536865234375 |
14 | 5 | 0.13457584381103515625 |
14 | 6 | 0.1794643402099609375 |
14 | 7 | 0.22872638702392578125 |
14 | 8 | 0.2822895050048828125 |
14 | 9 | 0.340290069580078125 |
14 | 10 | 0.40310764312744140625 |
14 | 11 | 0.47148609161376953125 |
14 | 12 | 0.54683399200439453125 |
14 | 13 | 0.63210964202880859375 |
14 | 14 | 0.73564243316650390625 |
15 | 0 | 0.00062847137451171875 |
15 | 1 | 0.00954341888427734375 |
15 | 2 | 0.028697967529296875 |
15 | 3 | 0.05538082122802734375 |
15 | 4 | 0.08783817291259765625 |
15 | 5 | 0.1250591278076171875 |
15 | 6 | 0.16645908355712890625 |
15 | 7 | 0.21171665191650390625 |
15 | 8 | 0.26069164276123046875 |
15 | 9 | 0.31340885162353515625 |
15 | 10 | 0.3700542449951171875 |
15 | 11 | 0.43102931976318359375 |
15 | 12 | 0.49706363677978515625 |
15 | 13 | 0.56950664520263671875 |
15 | 14 | 0.65116214752197265625 |
15 | 15 | 0.74989414215087890625 |
16 | 0 | 0.000591278076171875 |
16 | 1 | 0.00896739959716796875 |
16 | 2 | 0.02692317962646484375 |
16 | 3 | 0.05188083648681640625 |
16 | 4 | 0.08216571807861328125 |
16 | 5 | 0.11680889129638671875 |
16 | 6 | 0.15523433685302734375 |
16 | 7 | 0.19710540771484375 |
16 | 8 | 0.24224758148193359375 |
16 | 9 | 0.2906169891357421875 |
16 | 10 | 0.34228992462158203125 |
16 | 11 | 0.39748668670654296875 |
16 | 12 | 0.45661258697509765625 |
16 | 13 | 0.52037906646728515625 |
16 | 14 | 0.590076446533203125 |
16 | 15 | 0.66836643218994140625 |
16 | 16 | 0.76269817352294921875 |
17 | 0 | 0.00055789947509765625 |
17 | 1 | 0.00845623016357421875 |
17 | 2 | 0.02535533905029296875 |
17 | 3 | 0.04879665374755859375 |
17 | 4 | 0.07718563079833984375 |
17 | 5 | 0.10958766937255859375 |
17 | 6 | 0.14544391632080078125 |
17 | 7 | 0.18441104888916015625 |
17 | 8 | 0.22629547119140625 |
17 | 9 | 0.2710132598876953125 |
17 | 10 | 0.31857585906982421875 |
17 | 11 | 0.36909389495849609375 |
17 | 12 | 0.42280483245849609375 |
17 | 13 | 0.48011016845703125 |
17 | 14 | 0.5417022705078125 |
17 | 15 | 0.60881328582763671875 |
17 | 16 | 0.68397617340087890625 |
17 | 17 | 0.7742633819580078125 |
18 | 0 | 0.00052928924560546875 |
18 | 1 | 0.00800037384033203125 |
18 | 2 | 0.02396106719970703125 |
18 | 3 | 0.0460605621337890625 |
18 | 4 | 0.07277584075927734375 |
18 | 5 | 0.1032123565673828125 |
18 | 6 | 0.13682460784912109375 |
18 | 7 | 0.17327404022216796875 |
18 | 8 | 0.212352752685546875 |
18 | 9 | 0.25395298004150390625 |
18 | 10 | 0.29804706573486328125 |
18 | 11 | 0.3446807861328125 |
18 | 12 | 0.39398860931396484375 |
18 | 13 | 0.4462108612060546875 |
18 | 14 | 0.50174808502197265625 |
18 | 15 | 0.5612659454345703125 |
18 | 16 | 0.62594509124755859375 |
18 | 17 | 0.69819927215576171875 |
18 | 18 | 0.78476047515869140625 |
19 | 0 | 0.00050258636474609375 |
19 | 1 | 0.00759220123291015625 |
19 | 2 | 0.02271175384521484375 |
19 | 3 | 0.0436153411865234375 |
19 | 4 | 0.06884479522705078125 |
19 | 5 | 0.09754276275634765625 |
19 | 6 | 0.1291790008544921875 |
19 | 7 | 0.1634197235107421875 |
19 | 8 | 0.20005512237548828125 |
19 | 9 | 0.23895931243896484375 |
19 | 10 | 0.28007984161376953125 |
19 | 11 | 0.32342433929443359375 |
19 | 12 | 0.36906147003173828125 |
19 | 13 | 0.41713619232177734375 |
19 | 14 | 0.4678936004638671875 |
19 | 15 | 0.521724700927734375 |
19 | 16 | 0.5792713165283203125 |
19 | 17 | 0.6416645050048828125 |
19 | 18 | 0.71120929718017578125 |
19 | 19 | 0.79432773590087890625 |
20 | 0 | 0.0004787445068359375 |
20 | 1 | 0.00722217559814453125 |
20 | 2 | 0.02158641815185546875 |
20 | 3 | 0.04141712188720703125 |
20 | 4 | 0.06531810760498046875 |
20 | 5 | 0.09246540069580078125 |
20 | 6 | 0.12234783172607421875 |
20 | 7 | 0.15463733673095703125 |
20 | 8 | 0.18912220001220703125 |
20 | 9 | 0.22567081451416015625 |
20 | 10 | 0.26421070098876953125 |
20 | 11 | 0.3047237396240234375 |
20 | 12 | 0.34723949432373046875 |
20 | 13 | 0.39184474945068359375 |
20 | 14 | 0.43869113922119140625 |
20 | 15 | 0.48801898956298828125 |
20 | 16 | 0.54021358489990234375 |
20 | 17 | 0.595890045166015625 |
20 | 18 | 0.65613651275634765625 |
20 | 19 | 0.72315502166748046875 |
20 | 20 | 0.80308628082275390625 |
21 | 0 | 0.00045680999755859375 |
21 | 1 | 0.0068874359130859375 |
21 | 2 | 0.0205669403076171875 |
21 | 3 | 0.03942966461181640625 |
21 | 4 | 0.06213665008544921875 |
21 | 5 | 0.08789348602294921875 |
21 | 6 | 0.11620807647705078125 |
21 | 7 | 0.14675998687744140625 |
21 | 8 | 0.17933750152587890625 |
21 | 9 | 0.21380519866943359375 |
21 | 10 | 0.2500820159912109375 |
21 | 11 | 0.28812885284423828125 |
21 | 12 | 0.32795238494873046875 |
21 | 13 | 0.369598388671875 |
21 | 14 | 0.4131603240966796875 |
21 | 15 | 0.45879459381103515625 |
21 | 16 | 0.50673961639404296875 |
21 | 17 | 0.55736637115478515625 |
21 | 18 | 0.6112728118896484375 |
21 | 19 | 0.6695003509521484375 |
21 | 20 | 0.7341594696044921875 |
21 | 21 | 0.811130523681640625 |
22 | 0 | 0.0004367828369140625 |
22 | 1 | 0.0065822601318359375 |
22 | 2 | 0.0196399688720703125 |
22 | 3 | 0.03762531280517578125 |
22 | 4 | 0.05925083160400390625 |
22 | 5 | 0.0837535858154296875 |
22 | 6 | 0.11065769195556640625 |
22 | 7 | 0.13965129852294921875 |
22 | 8 | 0.1705265045166015625 |
22 | 9 | 0.203144073486328125 |
22 | 10 | 0.23741626739501953125 |
22 | 11 | 0.27329349517822265625 |
22 | 12 | 0.31076335906982421875 |
22 | 13 | 0.34984683990478515625 |
22 | 14 | 0.39060115814208984375 |
22 | 15 | 0.43312549591064453125 |
22 | 16 | 0.4775753021240234375 |
22 | 17 | 0.52418613433837890625 |
22 | 18 | 0.57331943511962890625 |
22 | 19 | 0.62554836273193359375 |
22 | 20 | 0.68187618255615234375 |
22 | 21 | 0.74432849884033203125 |
22 | 22 | 0.81854724884033203125 |
23 | 0 | 0.00041866302490234375 |
23 | 1 | 0.00630283355712890625 |
23 | 2 | 0.0187931060791015625 |
23 | 3 | 0.0359783172607421875 |
23 | 4 | 0.056621551513671875 |
23 | 5 | 0.07998752593994140625 |
23 | 6 | 0.10561656951904296875 |
23 | 7 | 0.13320446014404296875 |
23 | 8 | 0.16254901885986328125 |
23 | 9 | 0.19350910186767578125 |
23 | 10 | 0.2259922027587890625 |
23 | 11 | 0.25994396209716796875 |
23 | 12 | 0.295337677001953125 |
23 | 13 | 0.33217716217041015625 |
23 | 14 | 0.3704929351806640625 |
23 | 15 | 0.41034984588623046875 |
23 | 16 | 0.45185089111328125 |
23 | 17 | 0.49515056610107421875 |
23 | 18 | 0.54048061370849609375 |
23 | 19 | 0.58818817138671875 |
23 | 20 | 0.6388301849365234375 |
23 | 21 | 0.69336986541748046875 |
23 | 22 | 0.75375461578369140625 |
23 | 23 | 0.82540416717529296875 |
24 | 0 | 0.00040149688720703125 |
24 | 1 | 0.006046295166015625 |
24 | 2 | 0.01801586151123046875 |
24 | 3 | 0.03447055816650390625 |
24 | 4 | 0.0542163848876953125 |
24 | 5 | 0.07654666900634765625 |
24 | 6 | 0.10101604461669921875 |
24 | 7 | 0.127330780029296875 |
24 | 8 | 0.1552906036376953125 |
24 | 9 | 0.18475627899169921875 |
24 | 10 | 0.21563434600830078125 |
24 | 11 | 0.24786281585693359375 |
24 | 12 | 0.28140735626220703125 |
24 | 13 | 0.31626129150390625 |
24 | 14 | 0.352436065673828125 |
24 | 15 | 0.389972686767578125 |
24 | 16 | 0.42893886566162109375 |
24 | 17 | 0.4694385528564453125 |
24 | 18 | 0.51162624359130859375 |
24 | 19 | 0.55572605133056640625 |
24 | 20 | 0.602077484130859375 |
24 | 21 | 0.65121555328369140625 |
24 | 22 | 0.70407009124755859375 |
24 | 23 | 0.7625141143798828125 |
24 | 24 | 0.83176326751708984375 |
25 | 0 | 0.00038623809814453125 |
25 | 1 | 0.005809783935546875 |
25 | 2 | 0.01730060577392578125 |
25 | 3 | 0.0330829620361328125 |
25 | 4 | 0.0520076751708984375 |
25 | 5 | 0.07339000701904296875 |
25 | 6 | 0.0968017578125 |
25 | 7 | 0.12195587158203125 |
25 | 8 | 0.14865779876708984375 |
25 | 9 | 0.176769256591796875 |
25 | 10 | 0.20619678497314453125 |
25 | 11 | 0.236873626708984375 |
25 | 12 | 0.26876163482666015625 |
25 | 13 | 0.30184268951416015625 |
25 | 14 | 0.3361186981201171875 |
25 | 15 | 0.371612548828125 |
25 | 16 | 0.40836811065673828125 |
25 | 17 | 0.44645595550537109375 |
25 | 18 | 0.485980987548828125 |
25 | 19 | 0.52709484100341796875 |
25 | 20 | 0.57001781463623046875 |
25 | 21 | 0.61507701873779296875 |
25 | 22 | 0.66279125213623046875 |
25 | 23 | 0.71405506134033203125 |
25 | 24 | 0.77067470550537109375 |
25 | 25 | 0.83767795562744140625 |
26 | 0 | 0.0003719329833984375 |
26 | 1 | 0.00559139251708984375 |
26 | 2 | 0.01664066314697265625 |
26 | 3 | 0.03180408477783203125 |
26 | 4 | 0.04997158050537109375 |
26 | 5 | 0.07048511505126953125 |
26 | 6 | 0.092926025390625 |
26 | 7 | 0.11701869964599609375 |
26 | 8 | 0.1425724029541015625 |
26 | 9 | 0.16945171356201171875 |
26 | 10 | 0.19756031036376953125 |
26 | 11 | 0.22683238983154296875 |
26 | 12 | 0.25722503662109375 |
26 | 13 | 0.28871440887451171875 |
26 | 14 | 0.32129192352294921875 |
26 | 15 | 0.354969024658203125 |
26 | 16 | 0.38977336883544921875 |
26 | 17 | 0.42575359344482421875 |
26 | 18 | 0.462982177734375 |
26 | 19 | 0.50156307220458984375 |
26 | 20 | 0.54164409637451171875 |
26 | 21 | 0.58343982696533203125 |
26 | 22 | 0.627269744873046875 |
26 | 23 | 0.67363262176513671875 |
26 | 24 | 0.7233943939208984375 |
26 | 25 | 0.77829647064208984375 |
26 | 26 | 0.8431911468505859375 |
27 | 0 | 0.00035858154296875 |
27 | 1 | 0.0053882598876953125 |
27 | 2 | 0.01602840423583984375 |
27 | 3 | 0.03061962127685546875 |
27 | 4 | 0.0480899810791015625 |
27 | 5 | 0.06780147552490234375 |
27 | 6 | 0.08935070037841796875 |
27 | 7 | 0.11246776580810546875 |
27 | 8 | 0.1369686126708984375 |
27 | 9 | 0.1627197265625 |
27 | 10 | 0.18962574005126953125 |
27 | 11 | 0.21761989593505859375 |
27 | 12 | 0.24665546417236328125 |
27 | 13 | 0.27670383453369140625 |
27 | 14 | 0.30775356292724609375 |
27 | 15 | 0.33980274200439453125 |
27 | 16 | 0.37287044525146484375 |
27 | 17 | 0.40698719024658203125 |
27 | 18 | 0.442203521728515625 |
27 | 19 | 0.47859287261962890625 |
27 | 20 | 0.51625919342041015625 |
27 | 21 | 0.55534839630126953125 |
27 | 22 | 0.5960674285888671875 |
27 | 23 | 0.63872528076171875 |
27 | 24 | 0.68380641937255859375 |
27 | 25 | 0.732147216796875 |
27 | 26 | 0.785430908203125 |
27 | 27 | 0.8483428955078125 |
28 | 0 | 0.00034618377685546875 |
28 | 1 | 0.005199432373046875 |
28 | 2 | 0.01546001434326171875 |
28 | 3 | 0.02952098846435546875 |
28 | 4 | 0.04634571075439453125 |
28 | 5 | 0.06531524658203125 |
28 | 6 | 0.08603954315185546875 |
28 | 7 | 0.1082592010498046875 |
28 | 8 | 0.13179111480712890625 |
28 | 9 | 0.15650653839111328125 |
28 | 10 | 0.18231105804443359375 |
28 | 11 | 0.20913600921630859375 |
28 | 12 | 0.23693370819091796875 |
28 | 13 | 0.26567363739013671875 |
28 | 14 | 0.29533672332763671875 |
28 | 15 | 0.3259181976318359375 |
28 | 16 | 0.357425689697265625 |
28 | 17 | 0.38988018035888671875 |
28 | 18 | 0.4233150482177734375 |
28 | 19 | 0.45778369903564453125 |
28 | 20 | 0.493358612060546875 |
28 | 21 | 0.53014278411865234375 |
28 | 22 | 0.56827640533447265625 |
28 | 23 | 0.6079654693603515625 |
28 | 24 | 0.6495075225830078125 |
28 | 25 | 0.69337177276611328125 |
28 | 26 | 0.74036693572998046875 |
28 | 27 | 0.79212188720703125 |
28 | 28 | 0.85316753387451171875 |
29 | 0 | 0.00033473968505859375 |
29 | 1 | 0.005023956298828125 |
29 | 2 | 0.01492977142333984375 |
29 | 3 | 0.0284976959228515625 |
29 | 4 | 0.04472255706787109375 |
29 | 5 | 0.06300449371337890625 |
29 | 6 | 0.08296680450439453125 |
29 | 7 | 0.10435581207275390625 |
29 | 8 | 0.12699413299560546875 |
29 | 9 | 0.15075397491455078125 |
29 | 10 | 0.17554378509521484375 |
29 | 11 | 0.2012958526611328125 |
29 | 12 | 0.2279605865478515625 |
29 | 13 | 0.25550365447998046875 |
29 | 14 | 0.283905029296875 |
29 | 15 | 0.3131542205810546875 |
29 | 16 | 0.34325122833251953125 |
29 | 17 | 0.374210357666015625 |
29 | 18 | 0.4060535430908203125 |
29 | 19 | 0.43881702423095703125 |
29 | 20 | 0.4725551605224609375 |
29 | 21 | 0.50734043121337890625 |
29 | 22 | 0.54327297210693359375 |
29 | 23 | 0.5804920196533203125 |
29 | 24 | 0.61919498443603515625 |
29 | 25 | 0.6596736907958984375 |
29 | 26 | 0.702381134033203125 |
29 | 27 | 0.74810123443603515625 |
29 | 28 | 0.7984104156494140625 |
29 | 29 | 0.85769557952880859375 |
30 | 0 | 0.000324249267578125 |
30 | 1 | 0.00485897064208984375 |
30 | 2 | 0.01443576812744140625 |
30 | 3 | 0.02754306793212890625 |
30 | 4 | 0.04321002960205078125 |
30 | 5 | 0.06085300445556640625 |
30 | 6 | 0.0801067352294921875 |
30 | 7 | 0.1007251739501953125 |
30 | 8 | 0.12253475189208984375 |
30 | 9 | 0.145412445068359375 |
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