Probability
n=2 to 8
Probability
n=9 to12
Probability
n=13 to 15
Probability
n=16 to 18
Probability
n=19 to 21
Probability
n=25 to 27
Probability
n=28 to 29

Cumulative Binomial n = 22 to 24
CumulativeBinomial Probability n = 22 to 24  
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
22 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.19836941 0.676466 0.901523 0.992621 0.999609 0.999987 1 1 1 1 1 1 1 1
2 0.020229279 0.301849 0.660801 0.952038 0.995923 0.999794 0.999995 1 1 1 1 1 1 2
3 0.001335629 0.094823 0.379959 0.845509 0.979334 0.998442 0.999939 0.999999 1 1 1 1 1 3
4 6.33295E-05 0.022182 0.171928 0.667959 0.931937 0.992437 0.999572 0.99999 1 1 1 1 1 4
5 2.28483E-06 0.004022 0.062134 0.457118 0.835451 0.973418 0.997828 0.999925 0.999999 1 1 1 1 5
6 6.50248E-08 0.000581 0.018216 0.267362 0.686587 0.927774 0.99155 0.999573 0.999994 1 1 1 1 6
7 1.495E-09 6.84E-05 0.00439 0.132951 0.505824 0.841556 0.973761 0.998078 0.999956 1 1 1 1 7
8 2.82222E-11 6.63E-06 0.000879 0.056145 0.328749 0.710178 0.9331 0.992952 0.999754 0.999999 1 1 1 8
9 4.42292E-13 5.35E-07 0.000147 0.020142 0.186457 0.545954 0.856861 0.978534 0.998873 0.99999 1 1 1 9
10 5.79552E-15 3.62E-08 2.07E-05 0.006141 0.091596 0.375648 0.738266 0.944894 0.995672 0.999935 1 1 1 10
11 6.37494E-17 2.06E-09 2.46E-06 0.00159 0.038745 0.22805 0.584094 0.879294 0.985965 0.999651 1 1 1 11
12 5.89389E-19 9.85E-11 2.46E-07 0.000349 0.014035 0.120706 0.415906 0.77195 0.961255 0.99841 0.999998 1 1 12
13 4.57368E-21 3.96E-12 2.07E-08 6.48E-05 0.004328 0.055106 0.261734 0.624352 0.908404 0.993859 0.999979 1 1 13
14 2.96663E-23 1.33E-13 1.46E-09 1.01E-05 0.001127 0.021466 0.143139 0.454046 0.813543 0.979858 0.999853 0.999999 1 14
15 1.59663E-25 3.72E-15 8.57E-11 1.31E-06 0.000246 0.007048 0.0669 0.289822 0.671251 0.943855 0.999121 0.999993 1 15
16 7.04978E-28 8.53E-17 4.13E-12 1.4E-07 4.42E-05 0.001922 0.026239 0.158444 0.494176 0.867049 0.99561 0.999932 1 16
17 2.51138E-30 1.58E-18 1.6E-13 1.21E-08 6.46E-06 0.000427 0.00845 0.072226 0.313413 0.732638 0.981784 0.999419 1 17
18 7.04173E-33 2.3E-20 4.91E-15 8.28E-10 7.46E-07 7.53E-05 0.002172 0.026582 0.164549 0.542882 0.937866 0.995978 0.999998 18
19 1.49653E-35 2.54E-22 1.14E-16 4.29E-11 6.55E-08 1.01E-05 0.000428 0.007563 0.068063 0.332041 0.828072 0.977818 0.999937 19
20 2.26621E-38 2E-24 1.89E-18 1.59E-12 4.11E-09 9.74E-07 6.06E-05 0.001558 0.020666 0.154491 0.620041 0.905177 0.998664 20
21 2.179E-41 9.99E-27 1.99E-20 3.73E-14 1.64E-10 5.98E-08 5.48E-06 0.000206 0.004077 0.047962 0.339199 0.698151 0.979771 21
22 1E-44 2.38E-29 1E-22 4.19E-16 3.14E-12 1.76E-09 2.38E-07 1.32E-05 0.000391 0.007379 0.098477 0.323534 0.801631 22
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
23 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.206385716 0.692643 0.911371 0.994097 0.999726 0.999992 1 1 1 1 1 1 1 1
2 0.022010681 0.32058 0.684873 0.960155 0.997029 0.999871 0.999997 1 1 1 1 1 1 2
3 0.001524566 0.105174 0.408043 0.866815 0.98431 0.998983 0.999967 1 1 1 1 1 1 3
4 7.60525E-05 0.025815 0.192731 0.703469 0.946156 0.994839 0.999756 0.999995 1 1 1 1 1 4
5 2.89528E-06 0.00493 0.073113 0.499286 0.864397 0.981026 0.9987 0.999964 1 1 1 1 1 5
6 8.72229E-08 0.000754 0.022608 0.305313 0.731246 0.946031 0.994689 0.999784 0.999998 1 1 1 1 6
7 2.1303E-09 9.4E-05 0.005773 0.159833 0.560053 0.876043 0.982655 0.998975 0.999982 1 1 1 1 7
8 4.289E-11 9.71E-06 0.00123 0.071506 0.381872 0.762729 0.95343 0.996027 0.999895 1 1 1 1 8
9 7.20091E-13 8.39E-07 0.00022 0.027342 0.229145 0.611644 0.89498 0.987185 0.99949 0.999997 1 1 1 9
10 1.01605E-14 6.11E-08 3.34E-05 0.008941 0.120054 0.443771 0.797564 0.965078 0.997912 0.999979 1 1 1 10
11 1.21067E-16 3.76E-09 4.29E-06 0.0025 0.0546 0.287089 0.66118 0.918654 0.99276 0.999878 1 1 1 11
12 1.22099E-18 1.96E-10 4.68E-07 0.000597 0.021448 0.163643 0.5 0.836357 0.978552 0.999403 1 1 1 12
13 1.04218E-20 8.69E-12 4.33E-08 0.000122 0.00724 0.081346 0.33882 0.712911 0.9454 0.9975 0.999996 1 1 13
14 7.51064E-23 3.25E-13 3.39E-09 2.1E-05 0.002088 0.034922 0.202436 0.556229 0.879946 0.991059 0.999967 1 1 14
15 4.54729E-25 1.02E-14 2.23E-10 3.07E-06 0.00051 0.012815 0.10502 0.388356 0.770855 0.972658 0.99978 0.999999 1 15
16 2.29456E-27 2.67E-16 1.23E-11 3.75E-07 0.000105 0.003973 0.04657 0.237271 0.618128 0.928494 0.99877 0.99999 1 16
17 9.53604E-30 5.76E-18 5.57E-13 3.78E-08 1.78E-05 0.001025 0.017345 0.123957 0.439947 0.840167 0.994227 0.999906 1 17
18 3.20851E-32 1.01E-19 2.05E-14 3.09E-09 2.46E-06 0.000216 0.005311 0.053969 0.268754 0.694687 0.977392 0.999246 1 18
19 8.52329E-35 1.39E-21 5.94E-16 2E-10 2.7E-07 3.62E-05 0.0013 0.018974 0.135603 0.500714 0.926887 0.99507 0.999997 19
20 1.72088E-37 1.46E-23 1.31E-17 9.86E-12 2.25E-08 4.63E-06 0.000244 0.005161 0.053844 0.296531 0.807269 0.974185 0.999924 20
21 2.48193E-40 1.09E-25 2.07E-19 3.47E-13 1.35E-09 4.26E-07 3.3E-05 0.001017 0.01569 0.133185 0.591957 0.894826 0.998475 21
22 2.278E-43 5.22E-28 2.08E-21 7.8E-15 5.15E-11 2.5E-08 2.86E-06 0.000129 0.002971 0.039845 0.315127 0.67942 0.977989 22
23 1E-46 1.19E-30 1E-23 8.39E-17 9.41E-13 7.04E-10 1.19E-07 7.9E-06 0.000274 0.005903 0.088629 0.307357 0.793614 23
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
24 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.214321859 0.708011 0.920234 0.995278 0.999808 0.999995 1 1 1 1 1 1 1 1
2 0.023854431 0.339183 0.707523 0.966943 0.997838 0.999919 0.999999 1 1 1 1 1 1 2
3 0.001729427 0.115945 0.435726 0.885483 0.988126 0.999338 0.999982 1 1 1 1 1 1 3
4 9.05376E-05 0.029782 0.214262 0.736138 0.957602 0.996497 0.999861 0.999998 1 1 1 1 1 4
5 3.62685E-06 0.005975 0.085075 0.540123 0.888925 0.986551 0.999228 0.999983 1 1 1 1 1 5
6 1.15303E-07 0.000962 0.027658 0.344108 0.771192 0.960029 0.996695 0.999892 0.999999 1 1 1 1 6
7 2.98122E-09 0.000127 0.007456 0.188929 0.611411 0.904039 0.988672 0.99946 0.999993 1 1 1 1 7
8 6.3764E-11 1.39E-05 0.001684 0.089171 0.435326 0.808055 0.968043 0.997796 0.999956 1 1 1 1 8
9 1.14179E-12 1.28E-06 0.000321 0.036175 0.274963 0.672078 0.924205 0.99249 0.999774 0.999999 1 1 1 9
10 1.72598E-14 1E-07 5.21E-05 0.012621 0.152782 0.51092 0.846272 0.978342 0.999017 0.999993 1 1 1 10
11 2.21461E-16 6.63E-09 7.19E-06 0.003788 0.074236 0.349762 0.729372 0.946508 0.996367 0.999959 1 1 1 11
12 2.41945E-18 3.75E-10 8.49E-07 0.000978 0.031394 0.213022 0.58059 0.885735 0.988498 0.999783 1 1 1 12
13 2.25275E-20 1.81E-11 8.57E-08 0.000217 0.011502 0.114265 0.41941 0.786978 0.968606 0.999022 0.999999 1 1 13
14 1.78574E-22 7.43E-13 7.38E-09 4.12E-05 0.003633 0.053492 0.270628 0.650238 0.925764 0.996212 0.999993 1 1 14
15 1.20125E-24 2.59E-14 5.4E-10 6.66E-06 0.000983 0.021658 0.153728 0.48908 0.847218 0.987379 0.999948 1 1 15
16 6.81891E-27 7.63E-16 3.34E-11 9.14E-07 0.000226 0.00751 0.075795 0.327922 0.725037 0.963825 0.999679 0.999999 1 16
17 3.23863E-29 1.88E-17 1.73E-12 1.05E-07 4.39E-05 0.002204 0.031957 0.191945 0.564674 0.910829 0.998316 0.999986 1 17
18 1.27125E-31 3.84E-19 7.41E-14 1E-08 7.06E-06 0.00054 0.011328 0.095961 0.388589 0.811071 0.992544 0.999873 1 18
19 4.05232E-34 6.36E-21 2.58E-15 7.78E-10 9.27E-07 0.000108 0.003305 0.039971 0.228808 0.655892 0.972342 0.999038 1 19
20 1.0227E-36 8.34E-23 7.12E-17 4.79E-11 9.67E-08 1.72E-05 0.000772 0.013449 0.111075 0.459877 0.914925 0.994025 0.999996 20
21 1.96659E-39 8.33E-25 1.5E-18 2.25E-12 7.7E-09 2.11E-06 0.000139 0.003503 0.042398 0.263862 0.785738 0.970218 0.999909 21
22 2.70745E-42 5.97E-27 2.26E-20 7.57E-14 4.4E-10 1.85E-07 1.79E-05 0.000662 0.011874 0.114517 0.564274 0.884055 0.998271 22
23 2.377E-45 2.72E-29 2.17E-22 1.63E-15 1.61E-11 1.04E-08 1.49E-06 8.06E-05 0.002162 0.033057 0.292477 0.660817 0.976146 23
24 1E-48 5.96E-32 1E-24 1.68E-17 2.82E-13 2.81E-10 5.96E-08 4.74E-06 0.000192 0.004722 0.079766 0.291989 0.785678 24
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