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
Probability
n=28 to 29
Probability Density / Distribution of the Binomial
 

Cumulative Binomial n=2 to 8
Cumulative Binomial Probability n =2 to 8
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
2 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.0199 0.0975 0.19 0.36 0.51 0.64 0.75 0.84 0.91 0.96 0.99 0.9975 0.9999 1
2 0.0001 0.0025 0.01 0.04 0.09 0.16 0.25 0.36 0.49 0.64 0.81 0.9025 0.9801 2
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
3 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.029701 0.142625 0.271 0.488 0.657 0.784 0.875 0.936 0.973 0.992 0.999 0.999875 0.999999 1
2 0.000298 0.00725 0.028 0.104 0.216 0.352 0.5 0.648 0.784 0.896 0.972 0.99275 0.999702 2
3 0.000001 0.000125 0.001 0.008 0.027 0.064 0.125 0.216 0.343 0.512 0.729 0.857375 0.970299 3
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
4 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.039404 0.185494 0.3439 0.5904 0.7599 0.8704 0.9375 0.9744 0.9919 0.9984 0.9999 0.999994 1 1
2 0.000592 0.014019 0.0523 0.1808 0.3483 0.5248 0.6875 0.8208 0.9163 0.9728 0.9963 0.999519 0.999996 2
3 3.97E-06 0.000481 0.0037 0.0272 0.0837 0.1792 0.3125 0.4752 0.6517 0.8192 0.9477 0.985981 0.999408 3
4 1E-08 6.25E-06 0.0001 0.0016 0.0081 0.0256 0.0625 0.1296 0.2401 0.4096 0.6561 0.814506 0.960596 4
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
5 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.04901 0.226219 0.40951 0.67232 0.83193 0.92224 0.96875 0.98976 0.99757 0.99968 0.99999 1 1 1
2 0.00098 0.022593 0.08146 0.26272 0.47178 0.66304 0.8125 0.91296 0.96922 0.99328 0.99954 0.99997 1 2
3 9.85E-06 0.001158 0.00856 0.05792 0.16308 0.31744 0.5 0.68256 0.83692 0.94208 0.99144 0.998842 0.99999 3
4 4.96E-08 0.00003 0.00046 0.00672 0.03078 0.08704 0.1875 0.33696 0.52822 0.73728 0.91854 0.977408 0.99902 4
5 1E-10 3.13E-07 0.00001 0.00032 0.00243 0.01024 0.03125 0.07776 0.16807 0.32768 0.59049 0.773781 0.95099 5
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
6 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.05852 0.264908 0.468559 0.737856 0.882351 0.953344 0.984375 0.995904 0.999271 0.999936 0.999999 1 1 1
2 0.00146 0.032774 0.114265 0.34464 0.579825 0.76672 0.890625 0.95904 0.989065 0.9984 0.999945 0.999998 1 2
3 1.96E-05 0.00223 0.01585 0.09888 0.25569 0.45568 0.65625 0.8208 0.92953 0.98304 0.99873 0.999914 1 3
4 1.48E-07 8.64E-05 0.00127 0.01696 0.07047 0.1792 0.34375 0.54432 0.74431 0.90112 0.98415 0.99777 0.99998 4
5 5.95E-10 1.8E-06 5.5E-05 0.0016 0.010935 0.04096 0.109375 0.23328 0.420175 0.65536 0.885735 0.967226 0.99854 5
6 1E-12 1.56E-08 0.000001 6.4E-05 0.000729 0.004096 0.015625 0.046656 0.117649 0.262144 0.531441 0.735092 0.94148 6
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
7 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.067935 0.301663 0.521703 0.790285 0.917646 0.972006 0.992188 0.998362 0.999781 0.999987 1 1 1 1
2 0.002031 0.044381 0.149694 0.423283 0.670583 0.84137 0.9375 0.981158 0.996209 0.999629 0.999994 1 1 2
3 3.4E-05 0.003757 0.025692 0.148032 0.352931 0.580096 0.773438 0.903744 0.971205 0.995328 0.999824 0.999994 1 3
4 3.42E-07 0.000194 0.002728 0.033344 0.126036 0.289792 0.5 0.710208 0.873964 0.966656 0.997272 0.999806 1 4
5 2.07E-09 6.03E-06 0.000177 0.004672 0.028796 0.096256 0.226563 0.419904 0.64707 0.851968 0.974309 0.996243 0.999966 5
6 6.94E-12 1.05E-07 6.4E-06 0.000371 0.003791 0.018842 0.0625 0.15863 0.329417 0.576717 0.850306 0.955619 0.997969 6
7 1E-14 7.81E-10 1E-07 1.28E-05 0.000219 0.001638 0.007813 0.027994 0.082354 0.209715 0.478297 0.698337 0.932065 7
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
8 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.077255 0.33658 0.569533 0.832228 0.942352 0.983204 0.996094 0.999345 0.999934 0.999997 1 1 1 1
2 0.00269 0.057245 0.186895 0.496684 0.744702 0.893624 0.964844 0.99148 0.99871 0.999916 0.999999 1 1 2
3 5.39E-05 0.005788 0.038092 0.203082 0.448226 0.684605 0.855469 0.950193 0.988708 0.998769 0.999977 1 1 3
4 6.78E-07 0.000372 0.005024 0.056282 0.194104 0.405914 0.636719 0.82633 0.942032 0.989594 0.999568 0.999985 1 4
5 5.46E-09 1.54E-05 0.000432 0.010406 0.057968 0.17367 0.363281 0.594086 0.805896 0.943718 0.994976 0.999628 0.999999 5
6 2.75E-11 4.01E-07 2.34E-05 0.001231 0.011292 0.049807 0.144531 0.315395 0.551774 0.796918 0.961908 0.994212 0.999946 6
7 7.93E-14 5.98E-09 7.3E-07 8.45E-05 0.00129 0.00852 0.035156 0.106376 0.255298 0.503316 0.813105 0.942755 0.99731 7
8 1E-16 3.91E-11 1E-08 2.56E-06 6.56E-05 0.000655 0.003906 0.016796 0.057648 0.167772 0.430467 0.66342 0.922745 8
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