Whoops, forgot to reply to this question:
what is the percentage of winning a 7 vs 5?
what is the average & minimum losses for a 7 vs 5?
With 60% offence kill rate, 70% defence kill rate, 75% luck and weighted random rounding mode (the default, but all of those can be changed, WL is
very configurable), that works out to:
Chance of capturing the territory:
38.22%
Minimum possible attacker losses:
Floor ( ( 5 * 0.70 ) * 0.25 + 0 * 0.75 ) = 1
Maximum possible attacker losses:
Ceil ( ( 5 * 0.70 ) * 0.25 + 5 * 0.75 ) = 5
Minimum possible defender losses:
Floor ( ( 7 * 0.60 ) * 0.25 + 0 * 0.75 ) = 1
Maximum possible defender losses:
Ceil ( ( 7 * 0.60 ) * 0.25 + 7 * 0.75 ) = 7
I'm sorry, but the full calculation for that 38.22% success rate is too complex (and too long) to show here. However, you don't want to do that calculation anyway... and you don't have to!
Please note the "Attack" dialog window has a button labelled "Analyser". Here you can get a rough idea for success chances. One important detail to keep in mind is that it doesn't calculate, it simulates. When it tells you something has a 100% success chance it really means to say "I tried this a hundred times and it worked a hundred times", but in reality it could still be a 99.9% chance (and therefore have a very small chance of failing).
For illustration, 60% offence kill rate, 70% defence kill rate,
100% luck and weighted random rounding mode gives:
Chance of capturing the territory:
41.99%
Minimum possible attacker losses:
Floor ( ( 5 * 0.70 ) * 0.00 + 0 * 1.00 ) = 1
Maximum possible attacker losses:
Ceil ( ( 5 * 0.70 ) * 0.00 + 5 * 1.00 ) = 5
Minimum possible defender losses:
Floor ( ( 7 * 0.60 ) * 0.00 + 0 * 1.00 ) = 1
Maximum possible defender losses:
Ceil ( ( 7 * 0.60 ) * 0.00 + 7 * 1.00 ) = 7
And 60% offence kill rate, 70% defence kill rate,
0% luck and weighted random rounding mode gives:
Chance of capturing the territory:
20.00%
Minimum possible attacker losses:
Floor ( ( 5 * 0.70 ) * 1.00 + 0 * 0.00 ) = 3
Maximum possible attacker losses:
Ceil ( ( 5 * 0.70 ) * 1.00 + 5 * 0.00 ) = 4
Minimum possible defender losses:
Floor ( ( 7 * 0.60 ) * 1.00 + 0 * 0.00 ) = 4
Maximum possible defender losses:
Ceil ( ( 7 * 0.60 ) * 1.00 + 7 * 0.00 ) = 5