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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%
|
|
|
|
|