Re the eastern stack - we may already be able to begin moving units away to other places.
With 4 immortals on 2 hp and 1 on 1hp, their odds against 2 vet pikemen fortified on mountains are:
n prob
0 9.3%
1 23.3%
2 67.4%
n is the no. of surviving pikes. So there is only a 9% chance they'd kill 2 pikes on a mountain, leaving them 2-4 units surviving.
With 3 pikemen, the odds are
n prob
0 0.6%
1 3.4%
2 22.1%
3 73.9%
The extra pikeman reduces their chances to very close to zero, and (more importantly) reduces our chance of losing a pike from 40% to 30%. (very roughly).
We could get away with 2 pikes on each mountain in an emergency, and any more than 3 is probably an extravanagce. If we have more than 3 pikes in any of the three positions, they can be safely re-deployed elsewhere (catapult effects ignored in this - 2 pikes with 3 defensive catapult hits out of 7 are stronger than 3 pikes).
With 4 immortals on 2 hp and 1 on 1hp, their odds against 2 vet pikemen fortified on mountains are:
n prob
0 9.3%
1 23.3%
2 67.4%
n is the no. of surviving pikes. So there is only a 9% chance they'd kill 2 pikes on a mountain, leaving them 2-4 units surviving.
With 3 pikemen, the odds are
n prob
0 0.6%
1 3.4%
2 22.1%
3 73.9%
The extra pikeman reduces their chances to very close to zero, and (more importantly) reduces our chance of losing a pike from 40% to 30%. (very roughly).
We could get away with 2 pikes on each mountain in an emergency, and any more than 3 is probably an extravanagce. If we have more than 3 pikes in any of the three positions, they can be safely re-deployed elsewhere (catapult effects ignored in this - 2 pikes with 3 defensive catapult hits out of 7 are stronger than 3 pikes).
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