Probability
n=2 to 8
Probability
n=9 to12
Probability
n=13 to 15
Probability
n=19 to 21
Probability
n=22 to 24
Probability
n=25 to 27
Probability
n=28 to 29

Cumulative Binomial n = 16 to 18
CumulativeBinomial Probability n = 16 to 18  
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
16 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.148542229 0.559873 0.814698 0.971853 0.996677 0.999718 0.999985 1 1 1 1 1 1 1
2 0.010932892 0.18924 0.485272 0.859263 0.973888 0.996709 0.999741 0.999989 1 1 1 1 1 2
3 0.000507942 0.042938 0.210751 0.648156 0.90064 0.981663 0.99791 0.999873 0.999997 1 1 1 1 3
4 1.65306E-05 0.007004 0.068406 0.401866 0.754144 0.934853 0.989365 0.999062 0.999966 1 1 1 1 4
5 3.98432E-07 0.000857 0.017004 0.201755 0.550096 0.833433 0.961594 0.995104 0.999734 0.999997 1 1 1 5
6 7.348E-09 8.09E-05 0.003297 0.081688 0.340218 0.67116 0.894943 0.980858 0.998434 0.999967 1 1 1 6
7 1.05705E-10 5.98E-06 0.000505 0.026657 0.175313 0.472826 0.772751 0.941681 0.99287 0.999752 1 1 1 7
8 1.19831E-12 3.5E-07 6.13E-05 0.007004 0.074352 0.283937 0.59819 0.85773 0.974326 0.998524 0.999994 1 1 8
9 1.07386E-14 1.62E-08 5.92E-06 0.001476 0.025674 0.14227 0.40181 0.716063 0.925648 0.992996 0.999939 1 1 9
10 7.58109E-17 5.92E-10 4.53E-07 0.000248 0.00713 0.058319 0.227249 0.527174 0.824687 0.973343 0.999495 0.999994 1 10
11 4.17146E-19 1.69E-11 2.7E-08 3.26E-05 0.001566 0.019142 0.105057 0.32884 0.659782 0.918312 0.996703 0.999919 1 11
12 1.75373E-21 3.68E-13 1.24E-09 3.3E-06 0.000266 0.004896 0.038406 0.166567 0.449904 0.798245 0.982996 0.999143 1 12
13 5.44545E-24 5.93E-15 4.18E-11 2.48E-07 3.36E-05 0.000938 0.010635 0.065147 0.245856 0.598134 0.931594 0.992996 0.999983 13
14 1.17771E-26 6.66E-17 9.87E-13 1.3E-08 2.98E-06 0.000127 0.00209 0.018337 0.09936 0.351844 0.789249 0.957062 0.999492 14
15 1.585E-29 4.65E-19 1.45E-14 4.26E-10 1.65E-07 1.07E-05 0.000259 0.003291 0.026112 0.140737 0.514728 0.81076 0.989067 15
16 1E-32 1.53E-21 1E-16 6.55E-12 4.3E-09 4.29E-07 1.53E-05 0.000282 0.003323 0.028147 0.185302 0.440127 0.851458 16
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
17 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.157056807 0.58188 0.833228 0.977482 0.997674 0.999831 0.999992 1 1 1 1 1 1 1
2 0.012308986 0.207772 0.518215 0.881781 0.980725 0.997912 0.999863 0.999995 1 1 1 1 1 2
3 0.000612192 0.050253 0.238203 0.690378 0.922615 0.987681 0.998825 0.999943 0.999999 1 1 1 1 3
4 2.14448E-05 0.008801 0.082641 0.451124 0.798093 0.953577 0.993637 0.999549 0.999988 1 1 1 1 4
5 5.59754E-07 0.001165 0.022144 0.241777 0.61131 0.874001 0.975479 0.997479 0.999897 0.999999 1 1 1 5
6 1.12588E-08 0.00012 0.004667 0.105701 0.403181 0.736069 0.928268 0.989406 0.999344 0.999991 1 1 1 6
7 1.78128E-10 9.73E-06 0.000784 0.037663 0.224785 0.552159 0.833847 0.965187 0.996765 0.999924 1 1 1 7
8 2.24337E-12 6.31E-07 0.000106 0.010934 0.10464 0.359492 0.685471 0.908101 0.987307 0.999507 0.999999 1 1 8
9 2.26144E-14 3.29E-08 1.15E-05 0.002581 0.040277 0.198936 0.5 0.801064 0.959723 0.997419 0.999989 1 1 9
10 1.82439E-16 1.37E-09 1E-06 0.000493 0.012693 0.091899 0.314529 0.640508 0.89536 0.989066 0.999894 0.999999 1 10
11 1.17108E-18 4.56E-11 6.96E-08 7.56E-05 0.003235 0.034813 0.166153 0.447841 0.775215 0.962337 0.999216 0.99999 1 11
12 5.90765E-21 1.19E-12 3.82E-09 9.16E-06 0.000656 0.010594 0.071732 0.263931 0.596819 0.894299 0.995333 0.99988 1 12
13 2.29283E-23 2.4E-14 1.61E-10 8.59E-07 0.000103 0.002521 0.024521 0.125999 0.38869 0.758223 0.977856 0.998835 0.999999 13
14 6.61138E-26 3.6E-16 5.07E-12 6E-08 1.22E-05 0.000451 0.006363 0.046423 0.201907 0.548876 0.917359 0.991199 0.999979 14
15 1.33462E-28 3.77E-18 1.12E-13 2.94E-09 1.01E-06 5.71E-05 0.001175 0.012319 0.077385 0.309622 0.761797 0.949747 0.999388 15
16 1.684E-31 2.47E-20 1.54E-15 9.04E-11 5.25E-08 4.55E-06 0.000137 0.002088 0.019275 0.118219 0.481785 0.792228 0.987691 16
17 1E-34 7.63E-23 1E-17 1.31E-12 1.29E-09 1.72E-07 7.63E-06 0.000169 0.002326 0.022518 0.166772 0.41812 0.842943 17
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
18 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.165486239 0.602786 0.849905 0.981986 0.998372 0.999898 0.999996 1 1 1 1 1 1 1
2 0.013756464 0.226477 0.549716 0.900921 0.98581 0.99868 0.999928 0.999998 1 1 1 1 1 2
3 0.00072916 0.058129 0.266204 0.728658 0.940048 0.991774 0.999344 0.999974 1 1 1 1 1 3
4 2.73522E-05 0.010873 0.098197 0.498975 0.83545 0.967219 0.996231 0.999785 0.999996 1 1 1 1 4
5 7.68604E-07 0.001546 0.028194 0.283646 0.667345 0.905831 0.984558 0.998721 0.999961 1 1 1 1 5
6 1.67438E-08 0.000172 0.006415 0.132916 0.46562 0.791242 0.951874 0.99425 0.999731 0.999997 1 1 1 6
7 2.88935E-10 1.52E-05 0.001172 0.051271 0.278304 0.625723 0.881058 0.979718 0.99857 0.999978 1 1 1 7
8 4.00222E-12 1.09E-06 0.000173 0.01628 0.140683 0.436559 0.759659 0.942353 0.993927 0.999841 1 1 1 8
9 4.4822E-14 6.28E-08 2.09E-05 0.004252 0.059586 0.263159 0.592735 0.865286 0.979032 0.999089 0.999998 1 1 9
10 4.06758E-16 2.95E-09 2.05E-06 0.000911 0.020968 0.134714 0.407265 0.736841 0.940414 0.995748 0.999979 1 1 10
11 2.98376E-18 1.12E-10 1.63E-07 0.000159 0.006073 0.057647 0.240341 0.563441 0.859317 0.98372 0.999827 0.999999 1 11
12 1.75594E-20 3.41E-12 1.04E-08 2.25E-05 0.00143 0.020282 0.118942 0.374277 0.721696 0.948729 0.998828 0.999985 1 12
13 8.17756E-23 8.25E-14 5.27E-10 2.52E-06 0.000269 0.00575 0.048126 0.208758 0.53438 0.867084 0.993585 0.999828 1 13
14 2.94736E-25 1.54E-15 2.07E-11 2.2E-07 3.95E-05 0.001279 0.015442 0.094169 0.332655 0.716354 0.971806 0.998454 0.999999 14
15 7.93265E-28 2.16E-17 6.07E-13 1.44E-08 4.36E-06 0.000215 0.003769 0.032781 0.16455 0.501025 0.901803 0.989127 0.999973 15
16 1.50134E-30 2.12E-19 1.26E-14 6.61E-10 3.39E-07 2.56E-05 0.000656 0.008226 0.059952 0.271342 0.733796 0.941871 0.999271 16
17 1.783E-33 1.31E-21 1.63E-16 1.91E-11 1.67E-08 1.92E-06 7.25E-05 0.00132 0.01419 0.099079 0.450284 0.773523 0.986244 17
18 1E-36 3.81E-24 1E-18 2.62E-13 3.87E-10 6.87E-08 3.81E-06 0.000102 0.001628 0.018014 0.150095 0.397214 0.834514 18
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