n=2 to 8 |
n=9 to12 |
n=13 to 15 |
n=16 to 18 |
n=19 to 21 |
n=22 to 24 |
|
n=28 to 29 |
|
Binomial Probability n = 25 to 27 | |||||||||||||||
Probability of Success, p | |||||||||||||||
n | x | 0.01 | 0.05 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 0.95 | 0.99 | x |
25 | 0 | 0.777821 | 0.27739 | 0.07179 | 0.003778 | 0.000134 | 2.84E-06 | 2.98E-08 | 1.13E-10 | 8.47E-14 | 3.36E-18 | 1E-25 | 2.98E-33 | 1E-50 | 0 |
1 | 0.19642 | 0.364986 | 0.199416 | 0.023612 | 0.001437 | 4.74E-05 | 7.45E-07 | 4.22E-09 | 4.94E-12 | 3.36E-16 | 2.25E-23 | 1.42E-30 | 2.48E-47 | 1 | |
2 | 0.023808 | 0.230518 | 0.265888 | 0.070835 | 0.00739 | 0.000379 | 8.94E-06 | 7.6E-08 | 1.38E-10 | 1.61E-14 | 2.43E-21 | 3.23E-28 | 2.94E-44 | 2 | |
3 | 0.001844 | 0.093016 | 0.226497 | 0.135768 | 0.02428 | 0.001937 | 6.85E-05 | 8.74E-07 | 2.48E-09 | 4.94E-13 | 1.68E-19 | 4.7E-26 | 2.23E-41 | 3 | |
4 | 0.000102 | 0.026926 | 0.138415 | 0.186681 | 0.057231 | 0.007104 | 0.000377 | 7.21E-06 | 3.18E-08 | 1.09E-11 | 8.3E-18 | 4.91E-24 | 1.22E-38 | 4 | |
5 | 4.35E-06 | 0.005952 | 0.064594 | 0.196015 | 0.103017 | 0.019891 | 0.001583 | 4.54E-05 | 3.11E-07 | 1.83E-10 | 3.14E-16 | 3.92E-22 | 5.05E-36 | 5 | |
6 | 1.46E-07 | 0.001044 | 0.023924 | 0.163346 | 0.147166 | 0.044203 | 0.005278 | 0.000227 | 2.42E-06 | 2.43E-09 | 9.41E-15 | 2.48E-20 | 1.67E-33 | 6 | |
7 | 4.01E-09 | 0.000149 | 0.007215 | 0.110842 | 0.171194 | 0.079986 | 0.014326 | 0.000925 | 1.53E-05 | 2.64E-08 | 2.3E-13 | 1.28E-18 | 4.48E-31 | 7 | |
8 | 9.12E-11 | 1.77E-05 | 0.001804 | 0.062349 | 0.16508 | 0.11998 | 0.032233 | 0.003121 | 8.05E-05 | 2.38E-07 | 4.66E-12 | 5.47E-17 | 9.98E-29 | 8 | |
9 | 1.74E-12 | 1.76E-06 | 0.000379 | 0.029442 | 0.133636 | 0.151086 | 0.060885 | 0.008843 | 0.000355 | 1.8E-06 | 7.91E-11 | 1.96E-15 | 1.87E-26 | 9 | |
10 | 2.81E-14 | 1.48E-07 | 6.73E-05 | 0.011777 | 0.091636 | 0.161158 | 0.097417 | 0.021222 | 0.001325 | 1.15E-05 | 1.14E-09 | 5.97E-14 | 2.96E-24 | 10 | |
11 | 3.87E-16 | 1.06E-08 | 1.02E-05 | 0.004015 | 0.053554 | 0.146507 | 0.132841 | 0.04341 | 0.004216 | 6.27E-05 | 1.4E-08 | 1.55E-12 | 3.99E-22 | 11 | |
12 | 4.56E-18 | 6.52E-10 | 1.32E-06 | 0.001171 | 0.026777 | 0.11395 | 0.154981 | 0.075967 | 0.011476 | 0.000293 | 1.47E-07 | 3.43E-11 | 4.61E-20 | 12 | |
13 | 4.61E-20 | 3.43E-11 | 1.47E-07 | 0.000293 | 0.011476 | 0.075967 | 0.154981 | 0.11395 | 0.026777 | 0.001171 | 1.32E-06 | 6.52E-10 | 4.56E-18 | 13 | |
14 | 3.99E-22 | 1.55E-12 | 1.4E-08 | 6.27E-05 | 0.004216 | 0.04341 | 0.132841 | 0.146507 | 0.053554 | 0.004015 | 1.02E-05 | 1.06E-08 | 3.87E-16 | 14 | |
15 | 2.96E-24 | 5.97E-14 | 1.14E-09 | 1.15E-05 | 0.001325 | 0.021222 | 0.097417 | 0.161158 | 0.091636 | 0.011777 | 6.73E-05 | 1.48E-07 | 2.81E-14 | 15 | |
16 | 1.87E-26 | 1.96E-15 | 7.91E-11 | 1.8E-06 | 0.000355 | 0.008843 | 0.060885 | 0.151086 | 0.133636 | 0.029442 | 0.000379 | 1.76E-06 | 1.74E-12 | 16 | |
17 | 9.98E-29 | 5.47E-17 | 4.66E-12 | 2.38E-07 | 8.05E-05 | 0.003121 | 0.032233 | 0.11998 | 0.16508 | 0.062349 | 0.001804 | 1.77E-05 | 9.12E-11 | 17 | |
18 | 4.48E-31 | 1.28E-18 | 2.3E-13 | 2.64E-08 | 1.53E-05 | 0.000925 | 0.014326 | 0.079986 | 0.171194 | 0.110842 | 0.007215 | 0.000149 | 4.01E-09 | 18 | |
19 | 1.67E-33 | 2.48E-20 | 9.41E-15 | 2.43E-09 | 2.42E-06 | 0.000227 | 0.005278 | 0.044203 | 0.147166 | 0.163346 | 0.023924 | 0.001044 | 1.46E-07 | 19 | |
20 | 5.05E-36 | 3.92E-22 | 3.14E-16 | 1.83E-10 | 3.11E-07 | 4.54E-05 | 0.001583 | 0.019891 | 0.103017 | 0.196015 | 0.064594 | 0.005952 | 4.35E-06 | 20 | |
21 | 1.22E-38 | 4.91E-24 | 8.3E-18 | 1.09E-11 | 3.18E-08 | 7.21E-06 | 0.000377 | 0.007104 | 0.057231 | 0.186681 | 0.138415 | 0.026926 | 0.000102 | 21 | |
22 | 2.23E-41 | 4.7E-26 | 1.68E-19 | 4.94E-13 | 2.48E-09 | 8.74E-07 | 6.85E-05 | 0.001937 | 0.02428 | 0.135768 | 0.226497 | 0.093016 | 0.001844 | 22 | |
23 | 2.94E-44 | 3.23E-28 | 2.43E-21 | 1.61E-14 | 1.38E-10 | 7.6E-08 | 8.94E-06 | 0.000379 | 0.00739 | 0.070835 | 0.265888 | 0.230518 | 0.023808 | 23 | |
24 | 2.48E-47 | 1.42E-30 | 2.25E-23 | 3.36E-16 | 4.94E-12 | 4.22E-09 | 7.45E-07 | 4.74E-05 | 0.001437 | 0.023612 | 0.199416 | 0.364986 | 0.19642 | 24 | |
25 | 1E-50 | 2.98E-33 | 1E-25 | 3.36E-18 | 8.47E-14 | 1.13E-10 | 2.98E-08 | 2.84E-06 | 0.000134 | 0.003778 | 0.07179 | 0.27739 | 0.777821 | 25 | |
n | x | 0.01 | 0.05 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 0.95 | 0.99 | x |
26 | 0 | 0.770043 | 0.26352 | 0.064611 | 0.003022 | 9.39E-05 | 1.71E-06 | 1.49E-08 | 4.5E-11 | 2.54E-14 | 6.71E-19 | 1E-26 | 1.49E-34 | 1E-52 | 0 |
1 | 0.202234 | 0.360606 | 0.186653 | 0.019645 | 0.001046 | 2.96E-05 | 3.87E-07 | 1.76E-09 | 1.54E-12 | 6.98E-17 | 2.34E-24 | 7.36E-32 | 2.57E-49 | 1 | |
2 | 0.025535 | 0.237241 | 0.259241 | 0.061391 | 0.005604 | 0.000246 | 4.84E-06 | 3.29E-08 | 4.5E-11 | 3.49E-15 | 2.63E-22 | 1.75E-29 | 3.19E-46 | 2 | |
3 | 0.002063 | 0.099891 | 0.230436 | 0.122782 | 0.019213 | 0.001314 | 3.87E-05 | 3.95E-07 | 8.4E-10 | 1.12E-13 | 1.9E-20 | 2.66E-27 | 2.52E-43 | 3 | |
4 | 0.00012 | 0.03023 | 0.147223 | 0.176498 | 0.047346 | 0.005037 | 0.000223 | 3.41E-06 | 1.13E-08 | 2.57E-12 | 9.81E-19 | 2.9E-25 | 1.44E-40 | 4 | |
5 | 5.33E-06 | 0.007001 | 0.071976 | 0.194148 | 0.089281 | 0.014776 | 0.00098 | 2.25E-05 | 1.16E-07 | 4.52E-11 | 3.88E-17 | 2.43E-23 | 6.26E-38 | 5 | |
6 | 1.88E-07 | 0.00129 | 0.027991 | 0.16988 | 0.133921 | 0.034478 | 0.003431 | 0.000118 | 9.44E-07 | 6.33E-10 | 1.22E-15 | 1.61E-21 | 2.17E-35 | 6 | |
7 | 5.43E-09 | 0.000194 | 0.008886 | 0.121343 | 0.163985 | 0.065673 | 0.009802 | 0.000506 | 6.3E-06 | 7.23E-09 | 3.15E-14 | 8.76E-20 | 6.13E-33 | 7 | |
8 | 1.3E-10 | 2.42E-05 | 0.002345 | 0.072047 | 0.166914 | 0.103982 | 0.02328 | 0.001803 | 3.49E-05 | 6.87E-08 | 6.73E-13 | 3.95E-18 | 1.44E-30 | 8 | |
9 | 2.63E-12 | 2.55E-06 | 0.000521 | 0.036024 | 0.143069 | 0.138643 | 0.046559 | 0.00541 | 0.000163 | 5.5E-07 | 1.21E-11 | 1.5E-16 | 2.85E-28 | 9 | |
10 | 4.52E-14 | 2.28E-07 | 9.84E-05 | 0.01531 | 0.104236 | 0.157129 | 0.079151 | 0.013795 | 0.000646 | 3.74E-06 | 1.85E-10 | 4.85E-15 | 4.8E-26 | 10 | |
11 | 6.64E-16 | 1.75E-08 | 1.59E-05 | 0.005567 | 0.064978 | 0.152368 | 0.115129 | 0.030097 | 0.002192 | 2.17E-05 | 2.42E-09 | 1.34E-13 | 6.92E-24 | 11 | |
12 | 8.39E-18 | 1.15E-09 | 2.21E-06 | 0.00174 | 0.03481 | 0.126973 | 0.143911 | 0.056432 | 0.006394 | 0.000109 | 2.73E-08 | 3.19E-12 | 8.56E-22 | 12 | |
13 | 9.13E-20 | 6.52E-11 | 2.64E-07 | 0.000468 | 0.016066 | 0.09116 | 0.154981 | 0.09116 | 0.016066 | 0.000468 | 2.64E-07 | 6.52E-11 | 9.13E-20 | 13 | |
14 | 8.56E-22 | 3.19E-12 | 2.73E-08 | 0.000109 | 0.006394 | 0.056432 | 0.143911 | 0.126973 | 0.03481 | 0.00174 | 2.21E-06 | 1.15E-09 | 8.39E-18 | 14 | |
15 | 6.92E-24 | 1.34E-13 | 2.42E-09 | 2.17E-05 | 0.002192 | 0.030097 | 0.115129 | 0.152368 | 0.064978 | 0.005567 | 1.59E-05 | 1.75E-08 | 6.64E-16 | 15 | |
16 | 4.8E-26 | 4.85E-15 | 1.85E-10 | 3.74E-06 | 0.000646 | 0.013795 | 0.079151 | 0.157129 | 0.104236 | 0.01531 | 9.84E-05 | 2.28E-07 | 4.52E-14 | 16 | |
17 | 2.85E-28 | 1.5E-16 | 1.21E-11 | 5.5E-07 | 0.000163 | 0.00541 | 0.046559 | 0.138643 | 0.143069 | 0.036024 | 0.000521 | 2.55E-06 | 2.63E-12 | 17 | |
18 | 1.44E-30 | 3.95E-18 | 6.73E-13 | 6.87E-08 | 3.49E-05 | 0.001803 | 0.02328 | 0.103982 | 0.166914 | 0.072047 | 0.002345 | 2.42E-05 | 1.3E-10 | 18 | |
19 | 6.13E-33 | 8.76E-20 | 3.15E-14 | 7.23E-09 | 6.3E-06 | 0.000506 | 0.009802 | 0.065673 | 0.163985 | 0.121343 | 0.008886 | 0.000194 | 5.43E-09 | 19 | |
20 | 2.17E-35 | 1.61E-21 | 1.22E-15 | 6.33E-10 | 9.44E-07 | 0.000118 | 0.003431 | 0.034478 | 0.133921 | 0.16988 | 0.027991 | 0.00129 | 1.88E-07 | 20 | |
21 | 6.26E-38 | 2.43E-23 | 3.88E-17 | 4.52E-11 | 1.16E-07 | 2.25E-05 | 0.00098 | 0.014776 | 0.089281 | 0.194148 | 0.071976 | 0.007001 | 5.33E-06 | 21 | |
22 | 1.44E-40 | 2.9E-25 | 9.81E-19 | 2.57E-12 | 1.13E-08 | 3.41E-06 | 0.000223 | 0.005037 | 0.047346 | 0.176498 | 0.147223 | 0.03023 | 0.00012 | 22 | |
23 | 2.52E-43 | 2.66E-27 | 1.9E-20 | 1.12E-13 | 8.4E-10 | 3.95E-07 | 3.87E-05 | 0.001314 | 0.019213 | 0.122782 | 0.230436 | 0.099891 | 0.002063 | 23 | |
24 | 3.19E-46 | 1.75E-29 | 2.63E-22 | 3.49E-15 | 4.5E-11 | 3.29E-08 | 4.84E-06 | 0.000246 | 0.005604 | 0.061391 | 0.259241 | 0.237241 | 0.025535 | 24 | |
25 | 2.57E-49 | 7.36E-32 | 2.34E-24 | 6.98E-17 | 1.54E-12 | 1.76E-09 | 3.87E-07 | 2.96E-05 | 0.001046 | 0.019645 | 0.186653 | 0.360606 | 0.202234 | 25 | |
26 | 1E-52 | 1.49E-34 | 1E-26 | 6.71E-19 | 2.54E-14 | 4.5E-11 | 1.49E-08 | 1.71E-06 | 9.39E-05 | 0.003022 | 0.064611 | 0.26352 | 0.770043 | 26 | |
n | x | 0.01 | 0.05 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 0.95 | 0.99 | x |
27 | 0 | 0.762343 | 0.250344 | 0.05815 | 0.002418 | 6.57E-05 | 1.02E-06 | 7.45E-09 | 1.8E-11 | 7.63E-15 | 1.34E-19 | 1E-27 | 7.45E-36 | 1E-54 | 0 |
1 | 0.207912 | 0.355752 | 0.174449 | 0.01632 | 0.00076 | 1.84E-05 | 2.01E-07 | 7.3E-10 | 4.8E-13 | 1.45E-17 | 2.43E-25 | 3.82E-33 | 2.67E-51 | 1 | |
2 | 0.027302 | 0.243409 | 0.251982 | 0.053042 | 0.004236 | 0.00016 | 2.62E-06 | 1.42E-08 | 1.46E-11 | 7.54E-16 | 2.84E-23 | 9.44E-31 | 3.44E-48 | 2 | |
3 | 0.002298 | 0.106758 | 0.233317 | 0.110503 | 0.01513 | 0.000887 | 2.18E-05 | 1.78E-07 | 2.83E-10 | 2.51E-14 | 2.13E-21 | 1.49E-28 | 2.84E-45 | 3 | |
4 | 0.000139 | 0.033713 | 0.155545 | 0.165755 | 0.038906 | 0.003548 | 0.000131 | 1.6E-06 | 3.97E-09 | 6.03E-13 | 1.15E-19 | 1.7E-26 | 1.69E-42 | 4 | |
5 | 6.47E-06 | 0.008162 | 0.079501 | 0.190618 | 0.0767 | 0.010881 | 0.000601 | 1.1E-05 | 4.26E-08 | 1.11E-11 | 4.77E-18 | 1.49E-24 | 7.68E-40 | 5 | |
6 | 2.4E-07 | 0.001575 | 0.032389 | 0.174733 | 0.120529 | 0.026598 | 0.002205 | 6.07E-05 | 3.64E-07 | 1.63E-10 | 1.57E-16 | 1.04E-22 | 2.79E-37 | 6 | |
7 | 7.26E-09 | 0.000249 | 0.010796 | 0.13105 | 0.154966 | 0.053195 | 0.006616 | 0.000273 | 2.55E-06 | 1.95E-09 | 4.25E-15 | 5.91E-21 | 8.28E-35 | 7 | |
8 | 1.83E-10 | 3.27E-05 | 0.002999 | 0.081906 | 0.166035 | 0.088659 | 0.016541 | 0.001025 | 1.49E-05 | 1.95E-08 | 9.56E-14 | 2.81E-19 | 2.05E-32 | 8 | |
9 | 3.91E-12 | 3.64E-06 | 0.000703 | 0.043228 | 0.150222 | 0.124779 | 0.03492 | 0.003246 | 7.33E-05 | 1.65E-07 | 1.82E-12 | 1.13E-17 | 4.28E-30 | 9 | |
10 | 7.11E-14 | 3.44E-07 | 0.000141 | 0.019453 | 0.115886 | 0.149735 | 0.062855 | 0.008764 | 0.000308 | 1.19E-06 | 2.94E-11 | 3.85E-16 | 7.63E-28 | 10 | |
11 | 1.11E-15 | 2.8E-08 | 2.42E-05 | 0.007516 | 0.076756 | 0.154272 | 0.09714 | 0.020316 | 0.00111 | 7.34E-06 | 4.09E-10 | 1.13E-14 | 1.17E-25 | 11 | |
12 | 1.5E-17 | 1.97E-09 | 3.58E-06 | 0.002505 | 0.04386 | 0.137131 | 0.12952 | 0.040631 | 0.003453 | 3.91E-05 | 4.91E-09 | 2.87E-13 | 1.54E-23 | 12 | |
13 | 1.74E-19 | 1.19E-10 | 4.59E-07 | 0.000723 | 0.021689 | 0.105485 | 0.149446 | 0.070323 | 0.009295 | 0.000181 | 5.1E-08 | 6.28E-12 | 1.76E-21 | 13 | |
14 | 1.76E-21 | 6.28E-12 | 5.1E-08 | 0.000181 | 0.009295 | 0.070323 | 0.149446 | 0.105485 | 0.021689 | 0.000723 | 4.59E-07 | 1.19E-10 | 1.74E-19 | 14 | |
15 | 1.54E-23 | 2.87E-13 | 4.91E-09 | 3.91E-05 | 0.003453 | 0.040631 | 0.12952 | 0.137131 | 0.04386 | 0.002505 | 3.58E-06 | 1.97E-09 | 1.5E-17 | 15 | |
16 | 1.17E-25 | 1.13E-14 | 4.09E-10 | 7.34E-06 | 0.00111 | 0.020316 | 0.09714 | 0.154272 | 0.076756 | 0.007516 | 2.42E-05 | 2.8E-08 | 1.11E-15 | 16 | |
17 | 7.63E-28 | 3.85E-16 | 2.94E-11 | 1.19E-06 | 0.000308 | 0.008764 | 0.062855 | 0.149735 | 0.115886 | 0.019453 | 0.000141 | 3.44E-07 | 7.11E-14 | 17 | |
18 | 4.28E-30 | 1.13E-17 | 1.82E-12 | 1.65E-07 | 7.33E-05 | 0.003246 | 0.03492 | 0.124779 | 0.150222 | 0.043228 | 0.000703 | 3.64E-06 | 3.91E-12 | 18 | |
19 | 2.05E-32 | 2.81E-19 | 9.56E-14 | 1.95E-08 | 1.49E-05 | 0.001025 | 0.016541 | 0.088659 | 0.166035 | 0.081906 | 0.002999 | 3.27E-05 | 1.83E-10 | 19 | |
20 | 8.28E-35 | 5.91E-21 | 4.25E-15 | 1.95E-09 | 2.55E-06 | 0.000273 | 0.006616 | 0.053195 | 0.154966 | 0.13105 | 0.010796 | 0.000249 | 7.26E-09 | 20 | |
21 | 2.79E-37 | 1.04E-22 | 1.57E-16 | 1.63E-10 | 3.64E-07 | 6.07E-05 | 0.002205 | 0.026598 | 0.120529 | 0.174733 | 0.032389 | 0.001575 | 2.4E-07 | 21 | |
22 | 7.68E-40 | 1.49E-24 | 4.77E-18 | 1.11E-11 | 4.26E-08 | 1.1E-05 | 0.000601 | 0.010881 | 0.0767 | 0.190618 | 0.079501 | 0.008162 | 6.47E-06 | 22 | |
23 | 1.69E-42 | 1.7E-26 | 1.15E-19 | 6.03E-13 | 3.97E-09 | 1.6E-06 | 0.000131 | 0.003548 | 0.038906 | 0.165755 | 0.155545 | 0.033713 | 0.000139 | 23 | |
24 | 2.84E-45 | 1.49E-28 | 2.13E-21 | 2.51E-14 | 2.83E-10 | 1.78E-07 | 2.18E-05 | 0.000887 | 0.01513 | 0.110503 | 0.233317 | 0.106758 | 0.002298 | 24 | |
25 | 3.44E-48 | 9.44E-31 | 2.84E-23 | 7.54E-16 | 1.46E-11 | 1.42E-08 | 2.62E-06 | 0.00016 | 0.004236 | 0.053042 | 0.251982 | 0.243409 | 0.027302 | 25 | |
26 | 2.67E-51 | 3.82E-33 | 2.43E-25 | 1.45E-17 | 4.8E-13 | 7.3E-10 | 2.01E-07 | 1.84E-05 | 0.00076 | 0.01632 | 0.174449 | 0.355752 | 0.207912 | 26 | |
27 | 1E-54 | 7.45E-36 | 1E-27 | 1.34E-19 | 7.63E-15 | 1.8E-11 | 7.45E-09 | 1.02E-06 | 6.57E-05 | 0.002418 | 0.05815 | 0.250344 | 0.762343 | 27 |