Great... I went and did a test. Egyptians have 25 cavalry next to separate stacks of 25 Roman Pikes and 25 Roman Hoplites. I apparantly had Preserve random seed on, and the results were exactly the same as each other, when I attacked different stacks.
EDIT: @Tricky: It's on purpose. Today should have been my fourth avatar, but I was away yesterday and did not get to change it.
Cav vs. Pike
1. Cav defeats Pike flawlessly.
2. Cav kills Pike losing one hp.
3. Cav kills Pike losing two hp.
4. Cav kills Pike losing one hp.
5. Cav kills Pike losing one hp.
6. Cav kills Pike losing one hp.
7. Cav kills Pike losing one hp. Promotes.
8. Cav takes one hp off the Pike, but is forced to retreat.
9. Cav defeats Pike flawlessly, promotes.
10. Cav dies against Pike taking off one hp, Pike promotes.
11. Cav kills Pike losing one hp. Promotes.
12. Cav defeats Pike flawlessly.
13. Cav kills Pike losing two hp.
14. Cav takes two hp off the Pike, dies. Pike promotes.
15. Cav kills Pike losing one hp.
16. Cav kills Pike flawlessly.
17. Cav kills Pike losing one hp.
18. Cav kills Pike losing one hp. Promotes.
19. Cav kills Pike losing one hp.
20. Cav kills Pike losing two hp.
21. Cav kills Pike losing one hp. Promotes.
22. Cav kills Pike losing one hp. Promotes.
23. Cav retreats doing no damage to Pike.
24. Cav takes two hp off Pike, dies. Pike promotes.
25. Cav kills Pike losing one hp.
Cav vs. Hoplite
1. Cav defeats Hop flawlessly.
2. Cav kills Hop losing one hp.
3. Cav kills Hop losing two hp.
4. Cav kills Hop losing one hp.
5. Cav kills Hop losing one hp.
6. Cav kills Hop losing one hp.
7. Cav kills Hop losing one hp. Promotes.
8. Cav takes one hp off the Hop, but is forced to retreat.
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