Thursday, July 19, 2007

Percentage to Hit 3-6

DICE POOL PROBABILITY FOR EXCEPTIONAL UNITS
(UNITS THAT REQUIRE 3-6 TO SCORE A HIT)

ROLL 1 DIE:
The probability of 1 hit or more is 66.66
The probability of no hits is 33.33

ROLL 2 DICE:
The probability of 2 hits or more is 44.44
The probability of 1 hit or more is 88.888
The probability of no hits is 11.11

ROLL 3 DICE:
The probability of 3 hits or more is 29.62
The probability of 2 hits or more is 74.07
The probability of 1 hit or more is 96.29
The probability of no hits is 3.70

ROLL 4 DICE:
The probability of 4 hits or more is 19.75
The probability of 3 hits or more is 59.25
The probability of 2 hits or more is 88.88
The probability of 1 hit or more is 98.76
The probability of no hits is 1.2345

ROLL 5 DICE:
The probability of 5 hits or more is 13.16
The probability of 4 hits or more is 46.09
The probability of 3 hits or more is 79.01
The probability of 2 hits or more is 95.47
The probability of 1 hit or more is 99.58
The probability of no hits is 0.411

ROLL 6 DICE:
The probability of 6 hits or more is 8.77
The probability of 5 hits or more is 35.11
The probability of 4 hits or more is 68.03
The probability of 3 hits or more is 89.98
The probability of 2 hits or more is 98.21
The probability of 1 hit or more is 99.86
The probability of no hits is 0.13

ROLL 7 DICE:
The probability of 7 hits or more is 5.85
The probability of 6 hits or more is 26.33
The probability of 5 hits or more is 57.06
The probability of 4 hits or more is 82.67
The probability of 3 hits or more is 95.47
The probability of 2 hits or more is 99.314
The probability of 1 hit or more is 99.95
The probability of no hits is 0.045

ROLL 8 DICE:
The probability of 8 hits or more is 3.90
The probability of 7 hits or more is 19.50
The probability of 6 hits or more is 46.82
The probability of 5 hits or more is 74.13
The probability of 4 hits or more is 91.20
The probability of 3 hits or more is 98.03
The probability of 2 hits or more is 99.74
The probability of 1 hit or more is 99.98
The probability of no hits is 0.015

ROLL 9 DICE:
The probability of 9 hits or more is 2.60
The probability of 8 hits or more is 14.30
The probability of 7 hits or more is 37.71
The probability of 6 hits or more is 65.03
The probability of 5 hits or more is 85.51
The probability of 4 hits or more is 95.75
The probability of 3 hits or more is 99.17
The probability of 2 hits or more is 99.90
The probability of 1 hit or more is 99.99
The probability of no hits is 0.00508

ROLL 10 DICE:
The probability of 10 hits or more is 1.73
The probability of 9 hits or more is 10.40
The probability of 8 hits or more is 29.91
The probability of 7 hits or more is 55.92
The probability of 6 hits or more is 78.68
The probability of 5 hits or more is 92.34
The probability of 4 hits or more is 98.03
The probability of 3 hits or more is 99.65
The probability of 2 hits or more is 99.96
The probability of 1 hit or more is 99.99
The probability of no hits is 0.0016

ROLL 11 DICE:
The probability of 11 hits or more is 1.15
The probability of 10 hits or more is 7.51
The probability of 9 hits or more is 23.41
The probability of 8 hits or more is 47.25
The probability of 7 hits or more is 71.10
The probability of 6 hits or more is 87.79
The probability of 5 hits or more is 96.13
The probability of 4 hits or more is 99.11
The probability of 3 hits or more is 99.86
The probability of 2 hits or more is 99.98
The probability of 1 hit or more is 99.99
The probability of no hits is 0.00056

ROLL 12 DICE:
The probability of 12 hits or more is 0.77
The probability of 11 hits or more is 5.39
The probability of 10 hits or more is 18.11
The probability of 9 hits or more is 39.30
The probability of 8 hits or more is 63.15
The probability of 7 hits or more is 82.22
The probability of 6 hits or more is 93.35
The probability of 5 hits or more is 98.12
The probability of 4 hits or more is 99.61
The probability of 3 hits or more is 99.94
The probability of 2 hits or more is 99.99
The probability of 1 hit or more is 99.99
The probability of no hits is 0.0001

ROLL 13 DICE:
The probability of 13 hits or more is 0.51
The probability of 12 hits or more is 3.85
The probability of 11 hits or more is 13.87
The probability of 10 hits or more is 32.24
The probability of 9 hits or more is 55.20
The probability of 8 hits or more is 75.86
The probability of 7 hits or more is 89.64
The probability of 6 hits or more is 96.53
The probability of 5 hits or more is 99.11
The probability of 4 hits or more is 99.83
The probability of 3 hits or more is 99.97
The probability of 2 hits or more is 99.99
The probability of 1 hit or more is 99.999

ROLL 14 DICE:
The probability of 14 hits or more is 0.34
The probability of 13 hits or more is 2.74
The probability of 12 hits or more is 10.53
The probability of 11 hits or more is 26.11
The probability of 10 hits or more is 47.55
The probability of 9 hits or more is 68.98
The probability of 8 hits or more is 85.05
The probability of 7 hits or more is 94.23
The probability of 6 hits or more is 98.25
The probability of 5 hits or more is 99.59
The probability of 4 hits or more is 99.93
The probability of 3 hits or more is 99.99
The probability of 2 hits or more is 99.999
The probability of 1 hit or more is 99.999


ROLL 15 DICE:
The probability of 15 hits or more is 0.228
The probability of 14 hits or more is 1.941
The probability of 13 hits or more is 7.93
The probability of 12 hits or more is 20.92
The probability of 11 hits or more is 40.40
The probability of 10 hits or more is 61.83
The probability of 9 hits or more is 79.69
The probability of 8 hits or more is 91.17
The probability of 7 hits or more is 96.91
The probability of 6 hits or more is 99.14
The probability of 5 hits or more is 99.81
The probability of 4 hits or more is 99.97
The probability of 3 hits or more is 99.99
The probability of 2 hits or more is 99.9997
The probability of 1 hit or more is 99.999993

ROLL 16 DICE:
The probability of 16 hits or more is 0.15
The probability of 15 hits or more is 1.37
The probability of 14 hits or more is 5.93
The probability of 13 hits or more is 16.59
The probability of 12 hits or more is 33.91
The probability of 11 hits or more is 54.69
The probability of 10 hits or more is 73.
The probability of 9 hits or more is 87.34
The probability of 8 hits or more is 95.0037
The probability of 7 hits or more is 98.40
The probability of 6 hits or more is 99.59
The probability of 5 hits or more is 99.92
The probability of 4 hits or more is 99.98
The probability of 3 hits or more is 99.99
The probability of 2 hits or more is 99.99
The probability of 1 hit or more is 99.99

ROLL 17 DICE:
The probability of 17 hits or more is 0.10
The probability of 16 hits or more is 0.96
The probability of 15 hits or more is 4.41
The probability of 14 hits or more is 13.04
The probability of 13 hits or more is 28.13
The probability of 12 hits or more is 47.76
The probability of 11 hits or more is 67.39
The probability of 10 hits or more is 82.81
The probability of 9 hits or more is 92.45
The probability of 8 hits or more is 97.27
The probability of 7 hits or more is 99.19
The probability of 6 hits or more is 99.81
The probability of 5 hits or more is 99.96
The probability of 4 hits or more is 99.99
The probability of 3 hits or more is 99.99
The probability of 2 hits or more is 99.99
The probability of 1 hit or more is 99.9999992

ROLL 18 DICE:
The probability of 18 hits or more is 0.067
The probability of 17 hits or more is 0.67
The probability of 16 hits or more is 3.26
The probability of 15 hits or more is 10.16
The probability of 14 hits or more is 23.10
The probability of 13 hits or more is 41.22
The probability of 12 hits or more is 60.
The probability of 11 hits or more is 77.67
The probability of 10 hits or more is 89.23
The probability of 9 hits or more is 95.66
The probability of 8 hits or more is 98.55
The probability of 7 hits or more is 99.60
The probability of 6 hits or more is 99.91
The probability of 5 hits or more is 99.98
The probability of 4 hits or more is 99.99
The probability of 3 hits or more is 99.9998
The probability of 2 hits or more is 99.9999904
The probability of 1 hit or more is 99.9999997

ROLL 19 DICE:
The probability of 19 hits or more is 0.0451092989732576
The probability of 18 hits or more is 0.473647639219205
The probability of 17 hits or more is 2.40207017032597
The probability of 16 hits or more is 7.86593400846179
The probability of 15 hits or more is 18.7936616847334
The probability of 14 hits or more is 35.1852531991409
The probability of 13 hits or more is 54.3087766326163
The probability of 12 hits or more is 72.0663341065577
The probability of 11 hits or more is 85.3845022120138
The probability of 10 hits or more is 93.5233827209036
The probability of 9 hits or more is 97.5928229753486
The probability of 8 hits or more is 99.2575939885306
The probability of 7 hits or more is 99.8125176595912
The probability of 6 hits or more is 99.9619201864153
The probability of 5 hits or more is 99.9939350135918
The probability of 4 hits or more is 99.9992708181213
The probability of 3 hits or more is 99.9999377936874
The probability of 2 hits or more is 99.9999966444727
The probability of 1 hit or more is 99.9999999139608

ROLL 20 DICE:
The probability of 20 hits or more is 0.0300728659821717
The probability of 19 hits or more is 0.330801525803889
The probability of 18 hits or more is 1.75926265995705
The probability of 17 hits or more is 6.04464606241652
The probability of 16 hits or more is 15.1510857926429
The probability of 15 hits or more is 29.7213893610051
The probability of 14 hits or more is 47.9342688214578
The probability of 13 hits or more is 66.1471482819106
The probability of 12 hits or more is 80.9451128435284
The probability of 11 hits or more is 90.8104225512737
The probability of 10 hits or more is 96.2363428905336
The probability of 9 hits or more is 98.7026703174699
The probability of 8 hits or more is 99.627543102571
The probability of 7 hits or more is 99.9121193441406
The probability of 6 hits or more is 99.983263404533
The probability of 5 hits or more is 99.9974922166114
The probability of 4 hits or more is 99.9997154684987
The probability of 3 hits or more is 99.9999770275443
The probability of 2 hits or more is 99.9999988241314
The probability of 1 hit or more is 99.9999999713202