

Analysis of HeroScape  
The total number of possible results of a set of events is equal to the number of outcomes for the first event multiplied by the number of outcomes for the second event, the result of the previous calculation multiplied by the number of outcomes for the third event, and so on for each of the events. The result of the last multiplication is the total number of results. So if X is the number of outcomes of the first event, Y is the number of outcomes of the second event, and Z is the number of outcomes of the third event, the total number of possible results for the set of events (X, Y, Z), is X x Y x Z. 
6x6 =  36 
6x6x6 =  216 
6x6x6x6 =  1296 
6x6x6x6x6 =  7776 
6x6x6x6x6x6 =  46656 
6x6x6x6x6x6x6 =  279936 
6x6x6x6x6x6x6x6 =  1679616 
6x6x6x6x6x6x6x6x6 =  10077696 
6x6x6x6x6x6x6x6x6x6 =  60466176 
6x6x6x6x6x6x6x6x6x6x6 =  362797056 
6x6x6x6x6x6x6x6x6x6x6x6 =  2176782336 
6x6x6x6x6x6x6x6x6x6x6x6x6 =  13060694016 
2x2 =  4 
2x2x2 =  8 
2x2x2x2 =  16 
2x2x2x2x2 =  32 
2x2x2x2x2x2 =  64 
2x2x2x2x2x2x2 =  128 
2x2x2x2x2x2x2x2 =  256 
2x2x2x2x2x2x2x2x2 =  512 
2x2x2x2x2x2x2x2x2x2 =  1024 
2x2x2x2x2x2x2x2x2x2x2 =  2048 
2x2x2x2x2x2x2x2x2x2x2x2 =  4096 
2x2x2x2x2x2x2x2x2x2x2x2x2 =  8192 
3x3 =  9 
3x3x3 =  81 
3x3x3x3 =  256 
3x3x3x3x3 =  243 
3x3x3x3x3x3 =  729 
3x3x3x3x3x3x3 =  2187 
3x3x3x3x3x3x3x3 =  6561 
4x4 =  16 
4x4x4 =  64 
4x4x4x4 =  256 
4x4x4x4x4 =  1024 
4x4x4x4x4x4 =  4096 
4x4x4x4x4x4x4 =  16384 
4x4x4x4x4x4x4x4 =  65536 
4x4x4x4x4x4x4x4x4 =  262144 
4x4x4x4x4x4x4x4x4x4 =  1048576 
4x4x4x4x4x4x4x4x4x4x4 =  4194304 
4x4x4x4x4x4x4x4x4x4x4x4 =  16777216 
4x4x4x4x4x4x4x4x4x4x4x4x4 =  67108864 
2  Defense Dice 
36  Possible Results 
16  No Shields Results 
16  1 Shield Results 
4  2 Shields Results 
2  Defense Dice 
44.444%  No Shields Results 
44.444%  1 Shield Results 
11.111%  2 Shields Results 
3  Defense Dice 
216  Possible Results 
64  No Shields Results 
96  1 Shields Results 
48  2 Shields Results 
8  3 Shields Results 
3  Defense Dice 
29%  No Shields Results 
44%  1 Shields Results 
22%  2 Shields Results 
3%  3 Shields Results 
4  Defense Dice 
1,296  Possible Results 
256  No Shields Results 
512  1 Shield Results 
384  2 Shields Results 
128  3 Shields Results 
16  4 Shields Results 
4  Defense Dice 
19%  No Shields Results 
39%  1 Shield Results 
29%  2 Shields Results 
9%  3 Shields Results 
1%  4 Shields Results 
5  Defense Dice 
7,776  Possible Results 
1,024  No Shields Results 
2,560  1 Shield Results 
2,560  2 Shields Results 
1,280  3 Shields Results 
320  4 Shields Results 
32  5 Shields Results 
5  Defense Dice 
13%  No Shields Results 
32%  1 Shield Results 
32%  2 Shields Results 
16%  3 Shields Results 
4%  4 Shields Results 
Less than 1%  5 Shields Results 
6  Defense Dice 
46,656  Possible Results 
4,096  No Shields Results 
12,288  1 Shield Results 
15,360  2 Shields Results 
10,240  3 Shields Results 
3,840  4 Shields Results 
768  5 Shields Results 
64  6 Shields Results 
6  Defense Dice 
8%  No Shields Results 
26%  1 Shield Results 
32%  2 Shields Results 
21%  3 Shields Results 
8%  4 Shields Results 
1%  5 Shields Results 
Less than 1%  6 Shields Results 
7  Defense Dice 
279,936  Possible Results 
16,384  No Shields Results 
57,344  1 Shield Results 
86,016  2 Shields Results 
71,680  3 Shields Results 
35,840  4 Shields Results 
10,752  5 Shields Results 
1,792  6 Shields Results 
128  7 Shields Results 
7  Defense Dice 
5%  No Shields Results 
20%  1 Shield Results 
30%  2 Shields Results 
25%  3 Shields Results 
12%  4 Shields Results 
3%  5 Shields Results 
Less than 1%  6 Shields Results 
Less than 1%  7 Shields Results 
8  Defense Dice 
1,679,616  Possible Results 
65,536  No Shields Results 
262,144  1 Shield Results 
458,752  2 Shields Results 
458,752  3 Shields Results 
286,720  4 Shields Results 
114,688  5 Shields Results 
28,672  6 Shields Results 
4,096  7 Shields Results 
256  8 Shields Results 
8  Defense Dice 
3%  No Shields Results 
15%  1 Shield Results 
27%  2 Shields Results 
27%  3 Shields Results 
17%  4 Shields Results 
6%  5 Shields Results 
1%  6 Shields Results 
Less than 1%  7 Shields Results 
Less than 1%  8 Shields Results 
9  Defense Dice 
10,077,696  Possible Results 
262,144  No Shields Results 
1,179,648  1 Shield Results 
2,359,296  2 Shields Results 
2,752,512  3 Shields Results 
2,064,384  4 Shields Results 
1,032,192  5 Shields Results 
344,064  6 Shields Results 
73,728  7 Shields Results 
9,216  8 Shields Results 
512  9 Shields Results 
9  Defense Dice 
2%  No Shields Results 
11%  1 Shield Results 
23%  2 Shields Results 
27%  3 Shields Results 
20%  4 Shields Results 
10%  5 Shields Results 
3%  6 Shields Results 
Less than 1%  7 Shields Results 
Less than 1%  8 Shields Results 
Less than 1%  9 Shields Results 
2  Attack Dice 
36  Possible Results 
9  No Skulls Results 
18  1 Skull Results 
9  2 Skulls Results 
2  Attack Dice 
25%  No Skulls Results 
50%  1 Skull Results 
25%  2 Skulls Results 
3  Attack Dice 
216  Possible Results 
27  No Skulls Results 
81  1 Skull Results 
81  2 Skulls Results 
27  3 Skulls Results 
3  Attack Dice 
12%  No Skulls Results 
37%  1 Skull Results 
37%  2 Skulls Results 
12%  3 Skulls Results 
4  Attack Dice 
1,296  Possible Results 
81  No Skulls Results 
324  1 Skull Results 
486  2 Skulls Results 
324  3 Skulls Results 
81  4 Skulls Results 
4  Attack Dice 
6%  No Skulls Results 
25%  1 Skull Results 
37%  2 Skulls Results 
25%  3 Skulls Results 
6%  4 Skulls Results 
5  Attack Dice 
7,776  Possible Results 
243  No Skulls Results 
1,215  1 Skull Results 
2,430  2 Skulls Results 
2,430  3 Skulls Results 
1,215  4 Skulls Results 
243  5 Skulls Results 
5  Attack Dice 
3%  No Skulls Results 
15%  1 Skull Results 
31%  2 Skulls Results 
31%  3 Skulls Results 
15%  4 Skulls Results 
3%  5 Skulls Results 
6  Attack Dice 
46,656  Possible Results 
729  No Skulls Results 
4,374  1 Skull Results 
10,935  2 Skulls Results 
14,580  3 Skulls Results 
10,935  4 Skulls Results 
4,374  5 Skulls Results 
729  6 Skulls Results 
6  Attack Dice 
1%  No Skulls Results 
9%  1 Skull Results 
23%  2 Skulls Results 
31%  3 Skulls Results 
23%  4 Skulls Results 
9%  5 Skulls Results 
1%  6 Skulls Results 
7  Attack Dice 
279,936  Possible Results 
2187  No Skulls Results 
15,309  1 Skull Results 
45,927  2 Skulls Results 
76,545  3 Skulls Results 
76,545  4 Skulls Results 
45,927  5 Skulls Results 
15,309  6 Skulls Results 
2,187  7 Skulls Results 
7  Attack Dice 
0.78125%  No Skulls Results 
5.46875%  1 Skull Results 
16.40625%  2 Skulls Results 
27.34375%  3 Skulls Results 
27.34375%  4 Skulls Results 
16.40625%  5 Skulls Results 
5.46875%  6 Skulls Results 
0.78125%  7 Skulls Results 
8  Attack Dice 
1,679,616  Possible Results 
6,561  No Skulls Results 
52,488  1 Skull Results 
183,708  2 Skulls Results 
367,416  3 Skulls Results 
459,270  4 Skulls Results 
367,416  5 Skulls Results 
183,708  6 Skulls Results 
52,488  7 Skulls Results 
6,561  8 Skulls Results 
8  Attack Dice 
0.00390625%  No Skulls Results 
3.125%  1 Skull Results 
10.9375%  2 Skulls Results 
21.875%  3 Skulls Results 
27.34375%  4 Skulls Results 
21.875%  5 Skulls Results 
10.9375%  6 Skulls Results 
3.125%  7 Skulls Results 
0.00390625%  8 Skulls Results 