Probability
n=2 to 8
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=9 to 12
CumulativeBinomial Probability n = 9 to 12
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
9 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.086482753 0.369751 0.6125795 0.865782 0.959646 0.989922 0.998047 0.999738 0.99998 0.999999 1 1 1 1
2 0.00343573 0.071211 0.225159 0.563792 0.803997 0.929456 0.980469 0.996199 0.999567 0.999981 1 1 1 2
3 8.02948E-05 0.008361 0.0529721 0.261802 0.537169 0.768213 0.910156 0.974965 0.995709 0.999686 0.999997 1 1 3
4 1.21043E-06 0.000643 0.0083311 0.085642 0.270341 0.51739 0.746094 0.900647 0.974705 0.996934 0.999936 0.999999 1 4
5 1.21854E-08 3.32E-05 0.0008909 0.019581 0.098809 0.266568 0.5 0.733432 0.901191 0.980419 0.999109 0.999967 0.999999988 5
6 8.18588E-11 1.15E-06 6.423E-05 0.003066 0.025295 0.099353 0.253906 0.48261 0.729659 0.914358 0.991669 0.999357 0.99999879 6
7 3.53728E-13 2.57E-08 2.998E-06 0.000314 0.004291 0.025035 0.089844 0.231787 0.462831 0.738198 0.947028 0.991639 0.999919705 7
8 8.92E-16 3.36E-10 8.2E-08 1.89E-05 0.000433 0.003801 0.019531 0.070544 0.196003 0.436208 0.774841 0.928789 0.99656427 8
9 1E-18 1.95E-12 1E-09 5.12E-07 1.97E-05 0.000262 0.001953 0.010078 0.040354 0.134218 0.38742 0.630249 0.913517247 9
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
10 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.095617925 0.401263 0.6513216 0.892626 0.971752 0.993953 0.999023 0.999895 0.999994 1 1 1 1 1
2 0.0042662 0.086138 0.2639011 0.62419 0.850692 0.953643 0.989258 0.998322 0.999856 0.999996 1 1 1 2
3 0.000113849 0.011504 0.0701908 0.3222 0.617217 0.83271 0.945313 0.987705 0.99841 0.999922 1 1 1 3
4 2.00128E-06 0.001028 0.0127952 0.120874 0.350389 0.617719 0.828125 0.945238 0.989408 0.999136 0.999991 1 1 4
5 2.41678E-08 6.37E-05 0.0016349 0.032793 0.150268 0.366897 0.623047 0.833761 0.952651 0.993631 0.999853 0.999997 1 5
6 2.02894E-10 2.75E-06 0.0001469 0.006369 0.047349 0.166239 0.376953 0.633103 0.849732 0.967207 0.998365 0.999936 0.999999976 6
7 1.16878E-12 8.2E-08 9.122E-06 0.000864 0.010592 0.054762 0.171875 0.382281 0.649611 0.879126 0.987205 0.998972 0.999997999 7
8 4.42036E-15 1.61E-09 3.736E-07 7.79E-05 0.00159 0.012295 0.054688 0.16729 0.382783 0.6778 0.929809 0.988496 0.999886151 8
9 9.91E-18 1.87E-11 9.1E-09 4.2E-06 0.000144 0.001678 0.010742 0.046357 0.149308 0.37581 0.736099 0.913862 0.9957338 9
10 1E-20 9.77E-14 1E-10 1.02E-07 5.9E-06 0.000105 0.000977 0.006047 0.028248 0.107374 0.348678 0.598737 0.904382075 10
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
11 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.104661746 0.4312 0.6861894 0.914101 0.980227 0.996372 0.999512 0.999958 0.999998 1 1 1 1 1
2 0.005179717 0.101895 0.3026431 0.677877 0.88701 0.969767 0.994141 0.999266 0.999953 0.999999 1 1 1 2
3 0.000155373 0.015235 0.0895619 0.382598 0.68726 0.881083 0.967285 0.994076 0.999422 0.999981 1 1 1 3
4 3.11975E-06 0.001552 0.0185348 0.161139 0.430438 0.703716 0.886719 0.970719 0.995709 0.999765 0.999999 1 1 4
5 4.39389E-08 0.000112 0.002751 0.05041 0.210305 0.467226 0.725586 0.900647 0.978381 0.998035 0.999977 1 1 5
6 4.42543E-10 5.8E-06 0.0002957 0.011654 0.078225 0.246502 0.5 0.753498 0.921775 0.988346 0.999704 0.999994 1 6
7 3.18603E-12 2.16E-07 2.29E-05 0.001965 0.021619 0.099353 0.274414 0.532774 0.789695 0.94959 0.997249 0.999888 0.999999956 7
8 1.60639E-14 5.62E-09 1.248E-06 0.000235 0.004291 0.029281 0.113281 0.296284 0.569562 0.838861 0.981465 0.998448 0.99999688 8
9 5.40145E-17 9.8E-11 4.555E-08 1.89E-05 0.000578 0.005924 0.032715 0.118917 0.31274 0.617402 0.910438 0.984765 0.999844627 9
10 1.09E-19 1.03E-12 1E-09 9.22E-07 4.72E-05 0.000734 0.005859 0.030233 0.11299 0.322123 0.697357 0.898105 0.994820283 10
11 1E-22 4.88E-15 1E-11 2.05E-08 1.77E-06 4.19E-05 0.000488 0.003628 0.019773 0.085899 0.313811 0.5688 0.895338254 11
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
12 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.113615128 0.45964 0.7175705 0.931281 0.986159 0.997823 0.999756 0.999983 0.999999 1 1 1 1 1
2 0.006174538 0.11836 0.3409977 0.725122 0.914975 0.980409 0.996826 0.999681 0.999985 1 1 1 1 2
3 0.000205616 0.019568 0.11087 0.441654 0.747185 0.916557 0.980713 0.99719 0.999794 0.999995 1 1 1 3
4 4.64228E-06 0.002236 0.0256375 0.205431 0.507484 0.774663 0.927002 0.984733 0.998308 0.999938 1 1 1 4
5 7.46971E-08 0.000184 0.0043293 0.072555 0.276345 0.561822 0.806152 0.94269 0.990511 0.999419 0.999997 1 1 5
6 8.77507E-10 1.11E-05 0.0005412 0.019405 0.117849 0.334791 0.612793 0.841788 0.961399 0.996097 0.99995 1 1 6
7 7.5796E-12 4.95E-07 5.018E-05 0.003903 0.038601 0.158212 0.387207 0.665209 0.882151 0.980595 0.999459 0.999989 0.999999999 7
8 4.77636E-14 1.61E-08 3.414E-06 0.000581 0.009489 0.05731 0.193848 0.438178 0.723655 0.927445 0.995671 0.999816 0.999999925 8
9 2.14114E-16 3.74E-10 1.658E-07 6.22E-05 0.001692 0.015267 0.072998 0.225337 0.492516 0.794569 0.974363 0.997764 0.999995358 9
10 6.48055E-19 5.87E-12 5.455E-09 4.53E-06 0.000206 0.00281 0.019287 0.083443 0.252815 0.558346 0.88913 0.980432 0.999794384 10
11 1.189E-21 5.59E-14 1.09E-10 2.01E-07 1.54E-05 0.000319 0.003174 0.019591 0.085025 0.274878 0.659002 0.88164 0.993825462 11
12 1E-24 2.44E-16 1E-12 4.1E-09 5.31E-07 1.68E-05 0.000244 0.002177 0.013841 0.068719 0.28243 0.54036 0.886384872 12
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