Risk statistics

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Attacking and defending

The below table describes how many attackers are needed to defeat a given number of defenders with a given degree of certainty.

(The algorithm makes the assumption that the defender always defends with the maximum number of dice available: two, unless there is only one defending army left.)

def:s 10% 25% 50% 75% 80% 90% 95% 99%
1 1 1 2 2 3 3 4 5
2 1 2 3 4 5 6 7 9
3 2 3 4 5 6 7 9 11
4 3 3 5 6 7 9 10 14
5 3 4 5 8 8 10 12 17
6 3 4 6 9 9 11 13 18
7 4 5 7 10 11 13 15 19
8 4 6 8 11 12 14 16 21
9 5 6 9 12 13 15 18 22
10 5 7 10 13 14 16 19 22
11 6 8 10 14 14 18 20 25
12 6 8 12 15 15 19 21 25
13 7 9 12 16 17 20 22 26
14 8 10 13 17 18 21 23 28
15 8 11 14 18 19 22 24 29
16 9 11 15 19 20 23 27 31
17 9 12 16 20 21 24 27 32
18 10 13 16 21 22 25 29 34
19 11 14 18 22 23 27 29 34
20 12 14 18 23 24 28 31 35
21 11 15 19 24 25 29 30 37
22 12 16 20 25 26 30 33 39
23 13 16 21 25 27 31 33 39
24 15 18 22 27 28 31 35 40
25 14 18 22 28 29 33 36 42
26 15 19 24 29 30 34 37 44
27 16 20 24 30 31 34 38 43
28 17 21 25 30 31 36 38 43
29 17 21 26 32 32 37 41 46
30 18 22 27 32 35 38 41 49