In Breakout: Normandy, the outcomes of assaults and bombardments are decided by simultaneously rolling two pairs of dice and calculating the difference between their sums (that is, by a DR DIFF). This table shows the probability of getting any given DR DIFF as the result of rolling two pairs of dice. Since each of the two DRs has 11 possible outcomes (2, 3, 4, ...12), there are 11x11=121 possible (but not equally likely) outcomes for the DR DIFF, including duplicates. Excluding duplicates, there are 21 possible outcomes for any DR DIFF. The table shows how likely it is that you will get any particular one of these 21 outcomes in a given DR. The table also shows the probability of getting a DR DIFF result that is less than or equal to, or greater than or equal to, any one of these 21 possible values. Thanks to Mircea Pauca and Kurt Over for pointing out errors in an earlier edition of this table.

Table P.2
DR difference probabilities

Difference (DR DIFF)
Frequency
Probability
Cumulative probability
Reverse cumulative probability
 
-10
1
0.08%
0.08%
100.00%
2,12
-9
2
0.31%
0.39%
99.92%
3,12; 2,11
-8
3
0.77%
1.16%
99.61%
4,12; 3,11; 2,10
-7
4
1.54%
2.70%
98.84%
5,12; 4,11; 3,10; 2,9
-6
5
2.70%
5.40%
97.30%
6,12; 5,11; 4,10; 3,9; 2,8
-5
6
4.32%
9.72%
94.60%
7,12; 6,11; 5,10; 4,9; 3,8; 2,7
-4
7
6.17%
15.90%
90.28%
8,12; 7,11; 6,10; 5,9; 4,8; 3,7; 2,6
-3
8
8.02%
23.92%
84.10%
9,12; 8,11; 7,10; 6,9; 5;8; 4,7; 3,6; 2,5
-2
9
9.65%
33.56%
76.08%
10,12; 9,11; 8,10; 7,9; 6,8; 5,7; 4,6; 3,5; 2,4
-1
10
10.80%
44.37%
66.44%
11,12; 10,11; 9,10; 8,9; 7,8; 6,7; 5,6; 4,5; 3,4; 2,3
0
11
11.27%
55.63%
55.63%
12,12; 11,11; 10,10; 9,9; 8,8; 7,7; 6,6; 5,5; 4,4; 3,3; 2,2
1
10
10.80%
66.44%
44.37%
12,11; 11,10; 10,9; 9,8; 8,7; 7,6; 6,5; 5,4; 4,3; 3,2
2
9
9.65%
76.08%
33.56%
12,10; 11,9; 10,8; 9,7; 8,6; 7,5; 6,4; 5,3; 4,2
3
8
8.02%
84.10%
23.92%
12,9; 11,8; 10,7; 9,6; 8,5; 7,4; 6,3; 5,2
4
7
6.17%
90.28%
15.90%
12,8; 11,7; 10,6; 9,5; 8,4; 7,3; 6,2
5
6
4.32%
94.60%
9.72%
12,7; 11,6; 10,5; 9,4; 8,3; 7,2
6
5
2.70%
97.30%
5.40%
12,6; 11,5; 10,4; 9,3; 8,2
7
4
1.54%
98.84%
2.70%
12,5; 11,4; 10,3; 9,2
8
3
0.77%
99.61%
1.16%
12,4; 11,3; 10,2
9
2
0.31%
99.92%
0.39%
12,3; 11,2
10
1
0.08%
100.00%
0.08%
12,2
Total
121
100.00%