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=22 to 24
Probability
n=25 to 27

Cumulative Binomial n=28 to 29
CumulativeBinomial Probability n = 28 to 29  
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
28 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.245280713 0.762173 0.947665 0.998066 0.999954 0.999999 1 1 1 1 1 1 1 1
2 0.031824753 0.411691 0.784846 0.984526 0.999402 0.999988 1 1 1 1 1 1 1 2
3 0.002717122 0.162665 0.540617 0.938828 0.996208 0.999885 0.999998 1 1 1 1 1 1 3
4 0.000168979 0.049074 0.305434 0.839817 0.984346 0.999289 0.999986 1 1 1 1 1 1 4
5 8.1115E-06 0.011708 0.142112 0.685113 0.952573 0.996805 0.99991 0.999999 1 1 1 1 1 5
6 3.11854E-07 0.002269 0.055007 0.499467 0.887211 0.988857 0.999544 0.999994 1 1 1 1 1 6
7 9.84753E-09 0.000364 0.017907 0.321556 0.77983 0.968546 0.99814 0.999963 1 1 1 1 1 7
8 2.60032E-10 4.92E-05 0.004951 0.18177 0.635195 0.92599 0.99373 0.999817 0.999999 1 1 1 1 8
9 5.81761E-12 5.65E-06 0.001172 0.090035 0.47248 0.851517 0.982151 0.999243 0.999993 1 1 1 1 9
10 1.11351E-13 5.56E-07 0.000239 0.039071 0.317514 0.741186 0.956421 0.99733 0.99996 1 1 1 1 10
11 1.83638E-15 4.73E-08 4.23E-05 0.014863 0.191327 0.601434 0.907533 0.991877 0.999817 1 1 1 1 11
12 2.62284E-17 3.49E-09 6.51E-06 0.00496 0.102833 0.448977 0.827536 0.978492 0.999268 0.999997 1 1 1 12
13 3.25543E-19 2.24E-10 8.73E-07 0.001452 0.049104 0.304989 0.714206 0.950051 0.997456 0.999983 1 1 1 13
14 3.51824E-21 1.26E-11 1.02E-07 0.000373 0.020763 0.186846 0.574723 0.897542 0.99225 0.999916 1 1 1 14
15 3.31279E-23 6.13E-13 1.04E-08 8.4E-05 0.00775 0.102458 0.425277 0.813154 0.979237 0.999627 1 1 1 15
16 2.71588E-25 2.6E-14 9.31E-10 1.65E-05 0.002544 0.049949 0.285794 0.695011 0.950896 0.998548 0.999999 1 1 16
17 1.9346E-27 9.63E-16 7.22E-11 2.84E-06 0.000732 0.021508 0.172464 0.551023 0.897167 0.99504 0.999993 1 1 17
18 1.19317E-29 3.08E-17 4.86E-12 4.24E-07 0.000183 0.008123 0.092467 0.398566 0.808673 0.985137 0.999958 1 1 18
19 6.33836E-32 8.5E-19 2.82E-13 5.46E-08 3.98E-05 0.00267 0.043579 0.258814 0.682486 0.960929 0.999761 0.999999 1 19
20 2.87906E-34 2.01E-20 1.4E-14 6.03E-09 7.42E-06 0.000757 0.017849 0.148483 0.52752 0.909965 0.998828 0.999994 1 20
21 1.10716E-36 4.01E-22 5.87E-16 5.65E-10 1.18E-06 0.000183 0.00627 0.07401 0.364805 0.81823 0.995049 0.999951 1 21
22 3.5563E-39 6.69E-24 2.06E-17 4.43E-11 1.56E-07 3.71E-05 0.00186 0.031454 0.22017 0.678444 0.982093 0.999636 1 22
23 9.36603E-42 9.17E-26 5.94E-19 2.85E-12 1.7E-08 6.21E-06 0.000456 0.011143 0.112789 0.500533 0.944993 0.997731 1 23
24 1.97E-44 1E-27 1.37E-20 1.46E-13 1.49E-09 8.33E-07 9E-05 0.003195 0.047427 0.314887 0.857888 0.988292 0.999992 24
25 3.18241E-47 8.42E-30 2.42E-22 5.79E-15 1E-10 8.61E-08 1.37E-05 0.000711 0.015654 0.160183 0.694566 0.950926 0.999831 25
26 3.70755E-50 5.1E-32 3.09E-24 1.65E-16 4.86E-12 6.44E-09 1.52E-06 0.000115 0.003792 0.061172 0.459383 0.837335 0.997283 26
27 2.773E-53 1.99E-34 2.53E-26 3.03E-18 1.52E-13 3.1E-10 1.08E-07 1.21E-05 0.000598 0.015474 0.215154 0.588309 0.968175 27
28 1E-56 3.73E-37 1E-28 2.68E-20 2.29E-15 7.21E-12 3.73E-09 6.14E-07 4.6E-05 0.001934 0.052335 0.237827 0.754719 28
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
29 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.252827906 0.774064 0.952899 0.998453 0.999968 1 1 1 1 1 1 1 1 1
2 0.033959312 0.429215 0.801128 0.987234 0.999568 0.999993 1 1 1 1 1 1 1 2
3 0.003008198 0.175116 0.56504 0.947968 0.997166 0.999926 0.999999 1 1 1 1 1 1 3
4 0.000194461 0.054753 0.328952 0.85962 0.987905 0.999527 0.999992 1 1 1 1 1 1 4
5 9.72017E-06 0.013577 0.158444 0.716054 0.962105 0.997798 0.999948 1 1 1 1 1 1 5
6 3.8985E-07 0.002741 0.063717 0.536596 0.90682 0.992036 0.999727 0.999997 1 1 1 1 1 6
7 1.28676E-08 0.000459 0.021617 0.357139 0.812044 0.976671 0.998842 0.999981 1 1 1 1 1 7
8 3.55907E-10 6.49E-05 0.006247 0.209727 0.678586 0.943013 0.995935 0.999905 1 1 1 1 1 8
9 8.35976E-12 7.82E-06 0.00155 0.108382 0.521295 0.881306 0.98794 0.999587 0.999997 1 1 1 1 9
10 1.68413E-13 8.11E-07 0.000333 0.049264 0.364004 0.785318 0.969286 0.998478 0.999983 1 1 1 1 10
11 2.93152E-15 7.28E-08 6.2E-05 0.019704 0.229183 0.657335 0.931977 0.995149 0.999917 1 1 1 1 11
12 4.43299E-17 5.69E-09 1.01E-05 0.00694 0.129381 0.509959 0.867535 0.986523 0.999652 0.999999 1 1 1 12
13 5.84571E-19 3.88E-10 1.44E-06 0.002154 0.065222 0.362584 0.770871 0.967116 0.998724 0.999994 1 1 1 13
14 6.73848E-21 2.31E-11 1.79E-07 0.000589 0.029265 0.234103 0.644464 0.929047 0.995894 0.99997 1 1 1 14
15 6.7979E-23 1.21E-12 1.96E-08 0.000142 0.011654 0.136213 0.5 0.863787 0.988346 0.999858 1 1 1 15
16 6.00151E-25 5.54E-14 1.88E-09 3E-05 0.004106 0.070953 0.355536 0.765897 0.970735 0.999411 1 1 1 16
17 4.63114E-27 2.22E-15 1.58E-10 5.58E-06 0.001276 0.032884 0.229129 0.637416 0.934778 0.997846 0.999999 1 1 17
18 3.11583E-29 7.74E-17 1.16E-11 9.08E-07 0.000348 0.013477 0.132465 0.490041 0.870619 0.99306 0.99999 1 1 18
19 1.82067E-31 2.35E-18 7.39E-13 1.29E-07 8.29E-05 0.004851 0.068023 0.342665 0.770817 0.980296 0.999938 1 1 19
20 9.18863E-34 6.16E-20 4.07E-14 1.58E-08 1.71E-05 0.001522 0.030714 0.214682 0.635996 0.950736 0.999667 0.999999 1 20
21 3.97515E-36 1.38E-21 1.92E-15 1.66E-09 3.05E-06 0.000413 0.01206 0.118694 0.478705 0.891618 0.99845 0.999992 1 21
22 1.45923E-38 2.64E-23 7.72E-17 1.48E-10 4.62E-07 9.54E-05 0.004065 0.056987 0.321414 0.790273 0.993753 0.999935 1 22
23 4.48354E-41 4.22E-25 2.6E-18 1.11E-11 5.88E-08 1.86E-05 0.001158 0.023329 0.187956 0.642861 0.978383 0.999541 1 23
24 1.13163E-43 5.54E-27 7.17E-20 6.87E-13 6.15E-09 2.98E-06 0.000273 0.007964 0.09318 0.463404 0.936283 0.997259 1 24
25 2.28506E-46 5.81E-29 1.59E-21 3.39E-14 5.17E-10 3.85E-07 5.19E-05 0.002202 0.037895 0.283946 0.841556 0.986423 0.99999 25
26 3.54945E-49 4.7E-31 2.7E-23 1.29E-15 3.34E-11 3.83E-08 7.62E-06 0.000473 0.012095 0.14038 0.671048 0.945247 0.999806 26
27 3.98208E-52 2.74E-33 3.31E-25 3.55E-17 1.56E-12 2.76E-09 8.12E-07 7.4E-05 0.002834 0.052032 0.43496 0.824884 0.996992 27
28 2.872E-55 1.03E-35 2.62E-27 6.28E-19 4.71E-14 1.28E-10 5.59E-08 7.49E-06 0.000432 0.012766 0.198872 0.570785 0.966041 28
29 1E-58 1.86E-38 1E-29 5.37E-21 6.86E-16 2.88E-12 1.86E-09 3.68E-07 3.22E-05 0.001547 0.047101 0.225936 0.747172 29