Probability
n=2 to 8
Probability
n=9 to12
Probability
n=13 to 15
Probability
n=16 to 18
Probability
n=22 to 24
Probability
n=25 to 27
Probability
n=28 to 29

Cumulative Binomial n=19 to 21
CumulativeBinomial Probability n = 19 to 21  
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
19 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.173831376 0.622646 0.864915 0.985588 0.99886 0.999939 0.999998 1 1 1 1 1 1 1
2 0.015273761 0.245293 0.579735 0.917134 0.989578 0.999167 0.999962 0.999999 1 1 1 1 1 2
3 0.000859433 0.066546 0.294555 0.763111 0.953776 0.994536 0.999636 0.999989 1 1 1 1 1 3
4 3.43703E-05 0.013236 0.114998 0.544911 0.866829 0.977041 0.997787 0.999899 0.999998 1 1 1 1 4
5 1.03444E-06 0.002013 0.035194 0.326712 0.717776 0.930386 0.990395 0.999359 0.999985 1 1 1 1 5
6 2.42624E-08 0.000241 0.008593 0.163062 0.526137 0.837078 0.968216 0.996932 0.999892 0.999999 1 1 1 6
7 4.53483E-10 2.31E-05 0.001696 0.0676 0.334498 0.691931 0.916466 0.988437 0.999383 0.999993 1 1 1 7
8 6.85154E-12 1.79E-06 0.000273 0.023278 0.18197 0.512225 0.820358 0.964772 0.997177 0.99995 1 1 1 8
9 8.43959E-14 1.14E-07 3.61E-05 0.006658 0.083915 0.332519 0.676197 0.911526 0.989459 0.999691 1 1 1 9
10 8.5091E-16 5.94E-09 3.93E-06 0.001579 0.032553 0.186092 0.5 0.813908 0.967447 0.998421 0.999996 1 1 10
11 7.02151E-18 2.54E-10 3.51E-07 0.000309 0.010541 0.088474 0.323803 0.667481 0.916085 0.993342 0.999964 1 1 11
12 4.72215E-20 8.84E-12 2.56E-08 4.98E-05 0.002823 0.035228 0.179642 0.487775 0.81803 0.976722 0.999727 0.999998 1 12
13 2.56552E-22 2.49E-13 1.51E-09 6.51E-06 0.000617 0.011563 0.083534 0.308069 0.665502 0.9324 0.998304 0.999977 1 13
14 1.10954E-24 5.59E-15 7.13E-11 6.8E-07 0.000108 0.003068 0.031784 0.162922 0.473863 0.836938 0.991407 0.999759 1 14
15 3.73269E-27 9.76E-17 2.62E-12 5.54E-08 1.49E-05 0.000641 0.009605 0.069614 0.282224 0.673288 0.964806 0.997987 0.999999 15
16 9.41898E-30 1.28E-18 7.2E-14 3.4E-09 1.54E-06 0.000101 0.002213 0.022959 0.133171 0.455089 0.885002 0.986764 0.999966 16
17 1.67785E-32 1.18E-20 1.4E-15 1.47E-10 1.13E-07 1.14E-05 0.000364 0.005464 0.046224 0.236889 0.705445 0.933454 0.999141 17
18 1.882E-35 6.9E-23 1.72E-17 4.04E-12 5.27E-09 8.11E-07 3.81E-05 0.000833 0.010422 0.082866 0.420265 0.754707 0.984726 18
19 1E-38 1.91E-25 1E-19 5.24E-14 1.16E-10 2.75E-08 1.91E-06 6.09E-05 0.00114 0.014412 0.135085 0.377354 0.826169 19
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
20 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.182093062 0.641514 0.878423 0.988471 0.999202 0.999963 0.999999 1 1 1 1 1 1 1
2 0.016859338 0.26416 0.608253 0.930825 0.992363 0.999476 0.99998 1 1 1 1 1 1 2
3 0.001003576 0.075484 0.323073 0.793915 0.964517 0.996389 0.999799 0.999995 1 1 1 1 1 3
4 4.26209E-05 0.015902 0.132953 0.588551 0.892913 0.984039 0.998712 0.999953 0.999999 1 1 1 1 4
5 1.3678E-06 0.002574 0.043174 0.370352 0.762492 0.949048 0.994091 0.999683 0.999994 1 1 1 1 5
6 3.43642E-08 0.000329 0.011253 0.195792 0.583629 0.874401 0.979305 0.998388 0.999957 1 1 1 1 6
7 6.91572E-10 3.39E-05 0.002386 0.086693 0.39199 0.749989 0.942341 0.993534 0.999739 0.999998 1 1 1 7
8 1.13179E-11 2.86E-06 0.000416 0.032143 0.227728 0.584107 0.868412 0.978971 0.998721 0.999985 1 1 1 8
9 1.52067E-13 1.98E-07 5.99E-05 0.009982 0.113331 0.404401 0.748278 0.943474 0.994862 0.999898 1 1 1 9
10 1.68636E-15 1.13E-08 7.15E-06 0.002595 0.047962 0.244663 0.588099 0.872479 0.982855 0.999437 0.999999 1 1 10
11 1.54604E-17 5.38E-10 7.09E-07 0.000563 0.017145 0.127521 0.411901 0.755337 0.952038 0.997405 0.999993 1 1 11
12 1.16964E-19 2.11E-11 5.81E-08 0.000102 0.005138 0.056526 0.251722 0.595599 0.886669 0.990018 0.99994 1 1 12
13 7.26201E-22 6.79E-13 3.92E-09 1.52E-05 0.001279 0.021029 0.131588 0.415893 0.772272 0.967857 0.999584 0.999997 1 13
14 3.66397E-24 1.78E-14 2.15E-10 1.85E-06 0.000261 0.006466 0.057659 0.250011 0.60801 0.913307 0.997614 0.999966 1 14
15 1.47908E-26 3.72E-16 9.48E-12 1.8E-07 4.29E-05 0.001612 0.020695 0.125599 0.416371 0.804208 0.988747 0.999671 1 15
16 4.66517E-29 6.1E-18 3.26E-13 1.38E-08 5.55E-06 0.000317 0.005909 0.050952 0.237508 0.629648 0.956826 0.997426 0.999999 16
17 1.10801E-31 7.52E-20 8.47E-15 7.98E-10 5.43E-07 4.73E-05 0.001288 0.015961 0.107087 0.411449 0.867047 0.984098 0.999957 17
18 1.86417E-34 6.58E-22 1.56E-16 3.27E-11 3.77E-08 5.04E-06 0.000201 0.003611 0.035483 0.206085 0.676927 0.924516 0.998996 18
19 1.981E-37 3.63E-24 1.81E-18 8.49E-13 1.66E-09 3.41E-07 2E-05 0.000524 0.007637 0.069175 0.391747 0.73584 0.983141 19
20 1E-40 9.54E-27 1E-20 1.05E-14 3.49E-11 1.1E-08 9.54E-07 3.66E-05 0.000798 0.011529 0.121577 0.358486 0.817907 20
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
21 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.190272132 0.659438 0.890581 0.990777 0.999441 0.999978 1 1 1 1 1 1 1 1
2 0.018511675 0.283028 0.63527 0.942354 0.994415 0.999671 0.99999 1 1 1 1 1 1 2
3 0.001162134 0.084918 0.351591 0.821297 0.972871 0.997623 0.999889 0.999998 1 1 1 1 1 3
4 5.22305E-05 0.018881 0.151965 0.629624 0.914394 0.988979 0.999255 0.999978 1 1 1 1 1 4
5 1.78033E-06 0.00324 0.052152 0.413992 0.801619 0.963044 0.996401 0.999845 0.999998 1 1 1 1 5
6 4.76985E-08 0.000442 0.014445 0.230704 0.637288 0.90426 0.986698 0.999165 0.999983 1 1 1 1 6
7 1.0283E-09 4.87E-05 0.003273 0.108512 0.449482 0.799754 0.960823 0.996447 0.999892 0.999999 1 1 1 7
8 1.81204E-11 4.41E-06 0.000613 0.043053 0.277007 0.65046 0.905376 0.987709 0.999434 0.999995 1 1 1 8
9 2.63725E-13 3.31E-07 9.54E-05 0.014414 0.14765 0.476284 0.808345 0.964772 0.997563 0.999968 1 1 1 9
10 3.19017E-15 2.07E-08 1.24E-05 0.004072 0.067573 0.308558 0.668188 0.915076 0.99126 0.999806 1 1 1 10
11 3.21694E-17 1.08E-09 1.35E-06 0.00097 0.02639 0.174378 0.5 0.825622 0.97361 0.99903 0.999999 1 1 11
12 2.70399E-19 4.69E-11 1.23E-07 0.000194 0.00874 0.084924 0.331812 0.691442 0.932427 0.995928 0.999988 1 1 12
13 1.88858E-21 1.7E-12 9.35E-09 3.25E-05 0.002437 0.035228 0.191655 0.523716 0.85235 0.985586 0.999905 1 1 13
14 1.08893E-23 5.08E-14 5.86E-10 4.51E-06 0.000566 0.012291 0.094624 0.34954 0.722993 0.956947 0.999387 0.999996 1 14
15 5.12826E-26 1.24E-15 3.01E-11 5.13E-07 0.000108 0.003553 0.039177 0.200246 0.550518 0.891488 0.996727 0.999951 1 15
16 1.94093E-28 2.44E-17 1.24E-12 4.71E-08 1.68E-05 0.000835 0.013302 0.09574 0.362712 0.769296 0.985555 0.999558 1 16
17 5.76209E-31 3.76E-19 4.03E-14 3.4E-09 2.04E-06 0.000155 0.003599 0.036956 0.198381 0.586008 0.947848 0.99676 0.999998 17
18 1.29256E-33 4.39E-21 9.87E-16 1.86E-10 1.89E-07 2.2E-05 0.000745 0.011021 0.085606 0.370376 0.848035 0.981119 0.999948 18
19 2.06029E-36 3.63E-23 1.72E-17 7.22E-12 1.25E-08 2.22E-06 0.000111 0.002377 0.027129 0.178703 0.648409 0.915082 0.998838 19
20 2.08E-39 1.91E-25 1.9E-19 1.78E-13 5.23E-10 1.43E-07 1.05E-05 0.000329 0.005585 0.057646 0.36473 0.716972 0.981488 20
21 1E-42 4.77E-28 1E-21 2.1E-15 1.05E-11 4.4E-09 4.77E-07 2.19E-05 0.000559 0.009223 0.109419 0.340562 0.809728 21
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