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=28 to 29

Cumulative Binomial n=25 to 27
CumulativeBinomial Probability n = 25 to 27  
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
25 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.222178641 0.72261 0.92821 0.996222 0.999866 0.999997 1 1 1 1 1 1 1 1
2 0.025759105 0.357624 0.728794 0.97261 0.998429 0.99995 0.999999 1 1 1 1 1 1 2
3 0.001950677 0.127106 0.462906 0.901775 0.991039 0.999571 0.99999 1 1 1 1 1 1 3
4 0.000106927 0.034091 0.236409 0.766007 0.966759 0.997633 0.999922 0.999999 1 1 1 1 1 4
5 4.49596E-06 0.007165 0.097994 0.579326 0.909528 0.990529 0.999545 0.999992 1 1 1 1 1 5
6 1.50419E-07 0.001213 0.0334 0.383311 0.806512 0.970638 0.997961 0.999946 1 1 1 1 1 6
7 4.10445E-09 0.000169 0.009476 0.219965 0.659345 0.926435 0.992683 0.999719 0.999997 1 1 1 1 7
8 9.29386E-11 1.96E-05 0.002261 0.109123 0.488151 0.846448 0.978357 0.998795 0.999982 1 1 1 1 8
9 1.76801E-12 1.92E-06 0.000458 0.046774 0.323072 0.726469 0.946124 0.995674 0.999901 1 1 1 1 9
10 2.85051E-14 1.59E-07 7.9E-05 0.017332 0.189436 0.575383 0.885239 0.986831 0.999546 0.999998 1 1 1 10
11 3.91845E-16 1.13E-08 1.17E-05 0.005555 0.0978 0.414225 0.787822 0.965608 0.998222 0.999986 1 1 1 11
12 4.60987E-18 6.88E-10 1.48E-06 0.00154 0.044246 0.267718 0.654981 0.922199 0.994006 0.999924 1 1 1 12
13 4.64967E-20 3.59E-11 1.62E-07 0.000369 0.01747 0.153768 0.5 0.846232 0.98253 0.999631 1 1 1 13
14 4.02063E-22 1.61E-12 1.52E-08 7.63E-05 0.005994 0.077801 0.345019 0.732282 0.955754 0.99846 0.999999 1 1 14
15 2.97497E-24 6.17E-14 1.22E-09 1.36E-05 0.001778 0.034392 0.212178 0.585775 0.9022 0.994445 0.999988 1 1 15
16 1.87632E-26 2.02E-15 8.4E-11 2.06E-06 0.000454 0.013169 0.114761 0.424617 0.810564 0.982668 0.999921 1 1 16
17 1.00251E-28 5.6E-17 4.9E-12 2.67E-07 9.86E-05 0.004326 0.053876 0.273531 0.676928 0.953226 0.999542 0.999998 1 17
18 4.49716E-31 1.31E-18 2.4E-13 2.91E-08 1.81E-05 0.001205 0.021643 0.153552 0.511849 0.890877 0.997739 0.99998 1 18
19 1.67243E-33 2.52E-20 9.73E-15 2.63E-09 2.77E-06 0.000281 0.007317 0.073565 0.340655 0.780035 0.990524 0.999831 1 19
20 5.06478E-36 3.97E-22 3.22E-16 1.94E-10 3.46E-07 5.36E-05 0.002039 0.029362 0.193488 0.616689 0.9666 0.998787 1 20
21 1.21739E-38 4.96E-24 8.47E-18 1.14E-11 3.44E-08 8.16E-06 0.000455 0.009471 0.090472 0.420674 0.902006 0.992835 0.999996 21
22 2.23463E-41 4.73E-26 1.7E-19 5.1E-13 2.62E-09 9.54E-07 7.83E-05 0.002367 0.033241 0.233993 0.763591 0.965909 0.999893 22
23 2.94278E-44 3.24E-28 2.45E-21 1.64E-14 1.43E-10 8.03E-08 9.72E-06 0.000429 0.008961 0.098225 0.537094 0.872894 0.998049 23
24 2.476E-47 1.42E-30 2.26E-23 3.39E-16 5.03E-12 4.33E-09 7.75E-07 5.02E-05 0.001571 0.02739 0.271206 0.642376 0.974241 24
25 1E-50 2.98E-33 1E-25 3.36E-18 8.47E-14 1.13E-10 2.98E-08 2.84E-06 0.000134 0.003778 0.07179 0.27739 0.777821 25
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
26 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.229956854 0.73648 0.935389 0.996978 0.999906 0.999998 1 1 1 1 1 1 1 1
2 0.027723301 0.375873 0.748736 0.977333 0.99886 0.999969 1 1 1 1 1 1 1 2
3 0.002188761 0.138632 0.489495 0.915942 0.993256 0.999722 0.999995 1 1 1 1 1 1 3
4 0.000125364 0.038741 0.259058 0.79316 0.974043 0.998408 0.999956 1 1 1 1 1 1 4
5 5.52026E-06 0.008511 0.111835 0.616662 0.926698 0.993371 0.999733 0.999996 1 1 1 1 1 5
6 1.93874E-07 0.001511 0.039859 0.422514 0.837417 0.978594 0.998753 0.999974 1 1 1 1 1 6
7 5.56759E-09 0.000221 0.011869 0.252634 0.703495 0.944116 0.995322 0.999856 0.999999 1 1 1 1 7
8 1.33054E-10 2.7E-05 0.002983 0.131291 0.53951 0.878443 0.98552 0.999349 0.999993 1 1 1 1 8
9 2.67972E-12 2.8E-06 0.000638 0.059244 0.372596 0.77446 0.962241 0.997546 0.999958 1 1 1 1 9
10 4.59002E-14 2.47E-07 0.000117 0.02322 0.229527 0.635817 0.915681 0.992137 0.999795 0.999999 1 1 1 10
11 6.72977E-16 1.87E-08 1.84E-05 0.00791 0.125291 0.478688 0.83653 0.978342 0.999149 0.999996 1 1 1 11
12 8.48222E-18 1.22E-09 2.5E-06 0.002343 0.060313 0.326321 0.721401 0.948245 0.996957 0.999974 1 1 1 12
13 9.21305E-20 6.85E-11 2.94E-07 0.000603 0.025503 0.199348 0.577491 0.891812 0.990563 0.999865 1 1 1 13
14 8.6301E-22 3.32E-12 2.99E-08 0.000135 0.009437 0.108188 0.422509 0.800652 0.974497 0.999397 1 1 1 14
15 6.96585E-24 1.39E-13 2.62E-09 2.61E-05 0.003043 0.051755 0.278599 0.673679 0.939687 0.997657 0.999997 1 1 15
16 4.83253E-26 5.01E-15 1.98E-10 4.36E-06 0.000851 0.021658 0.16347 0.521312 0.874709 0.99209 0.999982 1 1 16
17 2.86881E-28 1.54E-16 1.28E-11 6.26E-07 0.000205 0.007863 0.084319 0.364183 0.770473 0.97678 0.999883 1 1 17
18 1.44773E-30 4.04E-18 7.05E-13 7.66E-08 4.23E-05 0.002454 0.037759 0.22554 0.627404 0.940756 0.999362 0.999997 1 18
19 6.15286E-33 8.93E-20 3.27E-14 7.91E-09 7.37E-06 0.000651 0.01448 0.121557 0.46049 0.868709 0.997017 0.999973 1 19
20 2.17384E-35 1.64E-21 1.26E-15 6.81E-10 1.07E-06 0.000144 0.004678 0.055884 0.296505 0.747366 0.988131 0.999779 1 20
21 6.27E-38 2.46E-23 3.98E-17 4.79E-11 1.28E-07 2.63E-05 0.001247 0.021406 0.162583 0.577486 0.960141 0.998489 1 21
22 1.43862E-40 2.93E-25 1E-18 2.68E-12 1.22E-08 3.84E-06 0.000267 0.006629 0.073302 0.383338 0.888165 0.991489 0.999994 22
23 2.52597E-43 2.67E-27 1.92E-20 1.15E-13 8.86E-10 4.3E-07 4.4E-05 0.001592 0.025957 0.20684 0.740942 0.961259 0.999875 23
24 3.1879E-46 1.76E-29 2.66E-22 3.56E-15 4.65E-11 3.47E-08 5.25E-06 0.000278 0.006744 0.084058 0.510505 0.861368 0.997811 24
25 2.575E-49 7.38E-32 2.35E-24 7.05E-17 1.57E-12 1.8E-09 4.02E-07 3.13E-05 0.00114 0.022667 0.251264 0.624127 0.972277 25
26 1E-52 1.49E-34 1E-26 6.71E-19 2.54E-14 4.5E-11 1.49E-08 1.71E-06 9.39E-05 0.003022 0.064611 0.26352 0.770043 26
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
27 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0
1 0.237657286 0.749656 0.94185 0.997582 0.999934 0.999999 1 1 1 1 1 1 1 1
2 0.029745636 0.393904 0.767401 0.981262 0.999174 0.999981 1 1 1 1 1 1 1 2
3 0.002444107 0.150494 0.515419 0.92822 0.994937 0.999821 0.999997 1 1 1 1 1 1 3
4 0.000145998 0.043736 0.282102 0.817717 0.979807 0.998934 0.999975 1 1 1 1 1 1 4
5 6.7187E-06 0.010023 0.126557 0.651962 0.940901 0.995386 0.999845 0.999998 1 1 1 1 1 5
6 2.47138E-07 0.001861 0.047057 0.461343 0.864201 0.984505 0.999243 0.999987 1 1 1 1 1 6
7 7.45066E-09 0.000285 0.014668 0.28661 0.743671 0.957907 0.997038 0.999926 1 1 1 1 1 7
8 1.87399E-10 3.67E-05 0.003871 0.15556 0.588705 0.904712 0.990421 0.999653 0.999997 1 1 1 1 8
9 3.98346E-12 4.01E-06 0.000872 0.073653 0.42267 0.816053 0.973881 0.998628 0.999982 1 1 1 1 9
10 7.22383E-14 3.75E-07 0.000169 0.030425 0.272447 0.691275 0.938961 0.995382 0.999909 1 1 1 1 10
11 1.12525E-15 3.01E-08 2.83E-05 0.010972 0.156562 0.54154 0.876106 0.986619 0.999601 0.999999 1 1 1 11
12 1.51272E-17 2.09E-09 4.09E-06 0.003456 0.079806 0.387268 0.778966 0.966303 0.998491 0.999991 1 1 1 12
13 1.76031E-19 1.26E-10 5.15E-07 0.000951 0.035946 0.250137 0.649446 0.925672 0.995039 0.999952 1 1 1 13
14 1.77568E-21 6.58E-12 5.63E-08 0.000229 0.014257 0.144652 0.5 0.855348 0.985743 0.999771 1 1 1 14
15 1.55263E-23 2.98E-13 5.35E-09 4.79E-05 0.004961 0.074328 0.350554 0.749863 0.964054 0.999049 0.999999 1 1 15
16 1.17501E-25 1.17E-14 4.4E-10 8.71E-06 0.001509 0.033697 0.221034 0.612732 0.920194 0.996544 0.999996 1 1 16
17 7.67265E-28 3.97E-16 3.13E-11 1.37E-06 0.000399 0.013381 0.123894 0.45846 0.843438 0.989028 0.999972 1 1 17
18 4.30206E-30 1.16E-17 1.92E-12 1.87E-07 9.11E-05 0.004618 0.061039 0.308725 0.727553 0.969575 0.999831 1 1 18
19 2.05687E-32 2.87E-19 1E-13 2.17E-08 1.78E-05 0.001372 0.026119 0.183947 0.57733 0.926347 0.999128 0.999996 1 19
20 8.30497E-35 6.02E-21 4.41E-15 2.13E-09 2.96E-06 0.000347 0.009579 0.095288 0.411295 0.84444 0.996129 0.999963 1 20
21 2.79457E-37 1.05E-22 1.62E-16 1.74E-10 4.11E-07 7.36E-05 0.002962 0.042093 0.256329 0.71339 0.985332 0.999715 1 21
22 7.69423E-40 1.51E-24 4.88E-18 1.17E-11 4.68E-08 1.28E-05 0.000757 0.015495 0.135799 0.538657 0.952943 0.998139 1 22
23 1.68869E-42 1.72E-26 1.17E-19 6.29E-13 4.27E-09 1.79E-06 0.000155 0.004614 0.059099 0.348038 0.873443 0.989977 0.999993 23
24 2.84157E-45 1.5E-28 2.16E-21 2.59E-14 2.98E-10 1.93E-07 2.46E-05 0.001066 0.020193 0.182283 0.717898 0.956264 0.999854 24
25 3.44283E-48 9.48E-31 2.87E-23 7.68E-16 1.51E-11 1.5E-08 2.82E-06 0.000179 0.005063 0.07178 0.484581 0.849506 0.997556 25
26 2.674E-51 3.83E-33 2.44E-25 1.46E-17 4.88E-13 7.48E-10 2.09E-07 1.94E-05 0.000826 0.018738 0.232599 0.606096 0.970254 26
27 1E-54 7.45E-36 1E-27 1.34E-19 7.63E-15 1.8E-11 7.45E-09 1.02E-06 6.57E-05 0.002418 0.05815 0.250344 0.762343 27
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