Probability
n=2 to 8
Probability
n=9 to12
Probability
n=16 to 18
Probability
n=19 to 21
Probability
n=22 to 24
Probability
n=25 to 27
Probability
n=28 to 29

Cumulative Binomial n = 13 to 15
CumulativeBinomial Probability n = 13 to 15
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
13 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.122478977 0.486658 0.745813 0.945024 0.990311 0.998694 0.999878 0.999993 1 1 1 1 1 1
2 0.007248944 0.135424 0.378655 0.766354 0.93633 0.987375 0.998291 0.999862 0.999995 1 1 1 1 2
3 0.000265305 0.024508 0.133883 0.498348 0.797522 0.942098 0.98877 0.998685 0.999927 0.999999 1 1 1 3
4 6.65202E-06 0.003103 0.034161 0.252676 0.579394 0.83142 0.953857 0.992207 0.999348 0.999984 1 1 1 4
5 1.20373E-07 0.000287 0.00646 0.099131 0.345686 0.646958 0.866577 0.967916 0.995969 0.999834 1 1 1 5
6 1.6157E-09 1.97E-05 0.00092 0.030035 0.165397 0.425604 0.709473 0.902329 0.981777 0.998754 0.999992 1 1 6
7 1.62789E-11 1.03E-06 9.93E-05 0.007004 0.062375 0.228844 0.5 0.771156 0.937625 0.992996 0.999901 0.999999 1 7
8 1.23082E-13 4.01E-08 8.09E-06 0.001246 0.018223 0.097671 0.290527 0.574396 0.834603 0.969965 0.99908 0.99998 1 8
9 6.89609E-16 1.16E-09 4.91E-07 0.000166 0.004031 0.032084 0.133423 0.353042 0.654314 0.900869 0.99354 0.999713 1 9
10 2.78271E-18 2.43E-11 2.15E-08 1.61E-05 0.000652 0.007793 0.046143 0.16858 0.420606 0.747324 0.965839 0.996897 0.999993 10
11 7.65766E-21 3.47E-13 6.44E-10 1.07E-06 7.27E-05 0.001315 0.01123 0.057902 0.202478 0.501652 0.866117 0.975492 0.999735 11
12 1.288E-23 3.03E-15 1.18E-11 4.34E-08 5E-06 0.000138 0.001709 0.012625 0.06367 0.233646 0.621345 0.864576 0.992751 12
13 1E-26 1.22E-17 1E-13 8.19E-10 1.59E-07 6.71E-06 0.000122 0.001306 0.009689 0.054976 0.254187 0.513342 0.877521 13
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
14 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.131254187 0.512325 0.771232 0.95602 0.993218 0.999216 0.999939 0.999997 1 1 1 1 1 1
2 0.008401244 0.152986 0.415371 0.802088 0.952524 0.991902 0.999084 0.999941 0.999998 1 1 1 1 2
3 0.000335142 0.030054 0.15836 0.551949 0.839164 0.960208 0.99353 0.999391 0.999975 1 1 1 1 3
4 9.23855E-06 0.004173 0.044133 0.30181 0.644833 0.875691 0.971313 0.996094 0.999754 0.999996 1 1 1 4
5 1.85689E-07 0.000427 0.00923 0.12984 0.415799 0.720743 0.910217 0.98249 0.998334 0.999954 1 1 1 5
6 2.80328E-09 3.31E-05 0.001474 0.043854 0.219484 0.514145 0.788025 0.941681 0.991711 0.999618 0.999999 1 1 6
7 3.22731E-11 1.96E-06 0.000181 0.01161 0.093282 0.307548 0.604736 0.84986 0.968531 0.997603 0.999983 1 1 7
8 2.8464E-13 8.93E-08 1.72E-05 0.002397 0.031469 0.15014 0.395264 0.692452 0.906718 0.98839 0.999819 0.999998 1 8
9 1.91353E-15 3.11E-09 1.25E-06 0.000382 0.008289 0.058319 0.211975 0.485855 0.780516 0.956146 0.998526 0.999967 1 9
10 9.65097E-18 8.12E-11 6.84E-08 4.6E-05 0.001666 0.01751 0.089783 0.279257 0.584201 0.87016 0.99077 0.999573 1 10
11 3.54082E-20 1.54E-12 2.73E-09 4.06E-06 0.000246 0.003906 0.028687 0.124309 0.355167 0.69819 0.955867 0.995827 0.999991 11
12 8.93278E-23 2.02E-14 7.5E-11 2.48E-07 2.53E-05 0.000609 0.00647 0.039792 0.160836 0.448051 0.84164 0.969946 0.999665 12
13 1.387E-25 1.63E-16 1.27E-12 9.34E-09 1.61E-06 5.91E-05 0.000916 0.008098 0.047476 0.197912 0.584629 0.847014 0.991599 13
14 1E-28 6.1E-19 1E-14 1.64E-10 4.78E-08 2.68E-06 6.1E-05 0.000784 0.006782 0.04398 0.228768 0.487675 0.868746 14
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
15 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.139941645 0.536709 0.794109 0.964816 0.995252 0.99953 0.999969 0.999999 1 1 1 1 1 1
2 0.009629773 0.170953 0.450957 0.832874 0.964732 0.994828 0.999512 0.999975 0.999999 1 1 1 1 2
3 0.000415803 0.0362 0.184061 0.601977 0.873172 0.972886 0.996307 0.999721 0.999991 1 1 1 1 3
4 1.24976E-05 0.005467 0.055556 0.351838 0.703132 0.909498 0.982422 0.998072 0.999908 0.999999 1 1 1 4
5 2.76218E-07 0.000615 0.01272 0.164234 0.484509 0.782722 0.940765 0.990652 0.999328 0.999988 1 1 1 5
6 4.63214E-09 5.28E-05 0.00225 0.061051 0.278379 0.596784 0.849121 0.966167 0.996347 0.999887 1 1 1 6
7 5.99831E-11 3.52E-06 0.000311 0.018059 0.131143 0.390187 0.696381 0.904953 0.984757 0.999215 0.999997 1 1 7
8 6.04525E-13 1.83E-07 3.36E-05 0.00424 0.050013 0.213103 0.5 0.786897 0.949987 0.99576 0.999966 1 1 8
9 4.7408E-15 7.42E-09 2.85E-06 0.000785 0.015243 0.095047 0.303619 0.609813 0.868857 0.981941 0.999689 0.999996 1 9
10 2.86898E-17 2.32E-10 1.87E-07 0.000113 0.003653 0.033833 0.150879 0.403216 0.721621 0.938949 0.99775 0.999947 1 10
11 1.31564E-19 5.53E-12 9.3E-09 1.25E-05 0.000672 0.009348 0.059235 0.217278 0.515491 0.835766 0.98728 0.999385 1 11
12 4.42517E-22 9.64E-14 3.4E-10 1.01E-06 9.17E-05 0.001928 0.017578 0.090502 0.296868 0.648162 0.944444 0.994533 0.999988 12
13 1.03059E-24 1.17E-15 8.64E-12 5.7E-08 8.72E-06 0.000279 0.003693 0.027114 0.126828 0.398023 0.815939 0.9638 0.999584 13
14 1.486E-27 8.73E-18 1.36E-13 2E-09 5.17E-07 2.52E-05 0.000488 0.005172 0.035268 0.167126 0.549043 0.829047 0.99037 14
15 1E-30 3.05E-20 1E-15 3.28E-11 1.43E-08 1.07E-06 3.05E-05 0.00047 0.004748 0.035184 0.205891 0.463291 0.860058 15
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