Say you have two infantry attacking a fighter.
“Power= (number of units)* (number of units)* (number you need to hit)”
So you have 2 * 2 * 1 for the infantry, and 1 * 1 * 4 for the fighter.
Actually, if you carry the battle out, first round result is:
25/36 infantry miss, 1/3 fighter misses.
25/36 infantry miss, 2/3 fighter hits.
11/36 infantry hit, 1/3 fighter misses.
11/36 infantry hit, 2/3 fighter hits.
Since the first of those four leads to repetition, you have 50, 11, and 22 for the other respective possibilities, for a total of 83. The 50, 11, and 22 are taken as the eventual outcomes, hence:
50/83 1 infantry, 1 fighter
11/83 2 infantry, 0 fighter
22/83 1 infantry, 0 fighter
The 1 infantry 1 fighter result is broken down into
5/6 infantry misses, 1/3 fighter misses
5/6 infantry misses, 2/3 fighter hits
1/6 infantry hits, 1/3 fighter misses
1/6 infantry hits, 2/3 fighter hits
of which the first result is ignored for
10/13 0 infantry, 1 fighter, multiply by 50/83 to get 500/8313 for this result
1/13 1 infantry, 0 fighter, multiply by 50/83 to get 50/8313 for this result
2/13 0 infantry, 0 fighter, multiply by 50/83 to get 100/83*13 for this result
Along with the earlier
11/83 2 infantry, 0 fighter
22/83 1 infantry, 0 fighter
there is a
11/83 of 2 infantry, 0 fighter, or 143/8313
22/83 + 50/8313 for 1 infantry, 0 fighter, or 206/8313
500/8313 for 0 infantry, 1 fighter
100/83*13 for 0 infantry, 0 fighter.
The result is 349 for infantry surviving, 500 for fighter surviving, and 100 for mutual destruction.
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The formula I remembered was from a cost effectiveness formula that I wrote for a different game. Basically, it’s like - since an infantry costs 3 IPC and a tank costs 5 IPC, when you have a number of infantry attacking a number of tanks (for example), your expected attack cost efficiency is 55attack value of infantry (the first 5 because you can get FIVE infantry for the cost of three tanks, and the second 5 because each time you destroy a tank, that’s a tank worth FIVE IPCs), etc. etc. etc.