I'm sure this has been calculated before, but I just realised tonight that I had absolutely no idea what the chances were of diferent outcomes with different numbers of dice, so I sat down and worked it out.
I figured some of you might be interested if you've never seen it before, so here are the results:
(Oh, I'm pretty sure I've calculated it right, but if it is wrong can you let me know.)
kev82@tifa:~$ g++ -O2 dice.cc
kev82@tifa:~$ ./a.out
1 attacking dice, 1 defending dice
Attacker loses 0 Defender loses 1 : 41.67%
Attacker loses 1 Defender loses 0 : 58.33%
1 attacking dice, 2 defending dice
Attacker loses 0 Defender loses 1 : 25.46%
Attacker loses 1 Defender loses 0 : 74.54%
2 attacking dice, 1 defending dice
Attacker loses 0 Defender loses 1 : 57.87%
Attacker loses 1 Defender loses 0 : 42.13%
2 attacking dice, 2 defending dice
Attacker loses 0 Defender loses 2 : 22.76%
Attacker loses 1 Defender loses 1 : 32.41%
Attacker loses 2 Defender loses 0 : 44.83%
3 attacking dice, 1 defending dice
Attacker loses 0 Defender loses 1 : 65.97%
Attacker loses 1 Defender loses 0 : 34.03%
3 attacking dice, 2 defending dice
Attacker loses 0 Defender loses 2 : 37.17%
Attacker loses 1 Defender loses 1 : 33.58%
Attacker loses 2 Defender loses 0 : 29.26%
