8-) I see.
Just curious how this is calculated because if I do the best math I can come up myself with, I end up with 38,6% for 3 defending submarines to get 1 hit in 1 round and, indeed, 44,4% for those now famous 3dd ;-)
I had to take a look into my old dusty schoolbooks for this, because I am in no way using maths like this on a regularly basis but I used this method (don’t even know how it is called anymore):
Chance for 3dd to hit 1nce: (3/1)(1/3)1(2/3)2 = 3!/(1!*(3-1)!)*4/27 = 44,4%
But isnt the right way to compare units if not using LL, calculating the chance to hit at least 1 target?
My math may be a little faulty and dusty but for 3dd the above method returns the following results:
Chance 3dd will hit 1 or more targets = 70,4% (51,8% for 4 defending submarines -same IPC value- and 80,2% when they are attacking)
And also interesting:
Chance 3dd will NOT hit 0 times or ALL = 66,6% (1 or 2 times for 3 units).
Anyway, I always realise the math is only a 3rd the story. The other 2 rds are ofc the economic and the strategic comparison.
For example: using only aircraft to remove key reinforcements (RAF in Moscow removing German reinforcements) may seem too expensive because the RAF might loose 10, 20 or even 30 IPCs (2 to 3 FTR) to remove 6 reinforcing German MECH, but from strategic perspective this might be the way to defeat Germany because it opens the can for the Russians to switch to the offensive -particularly after the Siberians have just returned.